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SPIRES-BOOKS: FIND KEYWORD GENERAL ALGEBRAIC SYSTEMS *END*INIT* use /tmp/qspiwww.webspi1/8164.113 QRY 131.225.70.96 . find keyword general algebraic systems ( in books using www Cover
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Call number:9783319509303:ONLINE Show nearby items on shelf
Title:Random Walks in the Quarter Plane Algebraic Methods, Boundary Value Problems, Applications to Queueing Systems and Analytic Combinatorics
Author(s): Guy Fayolle
Date:2017
Edition:2nd ed. 2017
Size:1 online resource (XVII, 248 p. 17 illus p.)
Contents:Introduction and History -- I The General Theory. - Probabilistic Background. - Foundations of the Analytic Approach. - The Case of a Finite Group -- II Applications to Queueing Systems and Analytic Combinatorics -- A Two-Coupled
Processor Model. - References
ISBN:9783319509303
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Mathematics , Mathematical statistics , Difference equations , Functional equations , Probabilities , Statistics , Mathematics , Probability Theory and Stochastic Processes , Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Scien , Probability and Statistics in Computer Science , Difference and Functional Equations
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Call number:9783319419176:ONLINE Show nearby items on shelf
Title:An Introduction to the Language of Category Theory
Author(s): Steven Roman
Date:2017
Size:1 online resource (XII, 169 p. 176 illus., 5 illus. in color p.)
Contents:Preface -- Categories -- Functors and Natural Transformations -- Universality -- Cones and Limits -- Adjoints -- References -- Index of Symbols -- Index
ISBN:9783319419176
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Mathematics , Category theory (Mathematics) , Homological algebra , Algebra , Ordered algebraic structures , Mathematics , Category Theory, Homological Algebra , Order, Lattices, Ordered Algebraic Structures , General Algebraic Systems
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Call number:SPRINGER-2016-9781493932078:ONLINE Show nearby items on shelf
Title:Classical Mechanics with Maxima
Author(s): Todd Keene Timberlake
Date:2016
Edition:1st ed. 2016
Size:1 online resource (258 p.)
Note:10.1007/978-1-4939-3207-8
Contents:Introduction to Maxima -- Numerical Methods -- Newton’s Laws of Motion -- Dynamics of Single Particles -- Oscillators -- Nonlinear Mechanics and Chaos
ISBN:9781493932078
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Algebra , Mathematical physics , Computer mathematics , Mechanics , Physics , Mathematical Methods in Physics , Mathematical Applications in the Physical Sciences , Mechanics , General Algebraic Systems , Computational Mathematics and Numerical Analysis
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Call number:SPRINGER-2013-9783642316951:ONLINE Show nearby items on shelf
Title:Introduction to Stokes Structures [electronic resource]
Author(s): Claude Sabbah
Date:2013
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This research monograph provides a geometric description of holonomic differential systems in one or more variables. Stokes matrices form the extended monodromy data for a linear differential equation of one complex variable nearan irregular singular point. The present volume presents the approach in terms of Stokes filtrations. For linear differential equations on a Riemann surface, it also develops the related notion of a Stokes-perverse sheaf. This point ofview is generalized to holonomic systems of linear differential equations in the complex domain, and a general Riemann-Hilbert correspondence is proved for vector bundles with meromorphic connections on a complex manifold. Applicationsto the distributions solutions to such systems are also discu ssed, and various operations on Stokes-filtered local systems are analyzed
Note:Springer eBooks
ISBN:9783642316951
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Mathematics, 0075-8434 : v2060
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geometry, algebraic , Differential Equations , Differential equations, partial , Sequences (Mathematics)
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Call number:SPRINGER-2013-9783642275555:ONLINE Show nearby items on shelf
Title:Differential-Algebraic Equations: A Projector Based Analysis [electronic resource]
Author(s): Ren Lamour
Roswitha Mrz
Caren Tischendorf
Date:2013
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Differential algebraic equations (DAEs), including so-called descriptor systems, began to attract significant research interest in applied and numerical mathematics in the early 1980s, no more than about three decades ago. In thisrelatively short tim e, DAEs have become a widely acknowledged tool to model processes subjected to certain constraints in order to simulate and to control processes in various application fields such as network simulation, chemicalkinematics, mechanical engineering and syste ms biology. DAEs and their more abstract versions in infinite dimensional spaces comprise a great potential forthe future mathematical modeling of complex coupled processes. The purpose ofthe book is to expose the impressive complexity of general DAEs fro m an analytical point of view, to describe the state of the art as well as open problems andin sodoing to motivate further researchof this versatile,extraordinary topic from a broader mathematical perspective. The book elaborates on a new general, structu ral analysis capturing linear and nonlinear DAEs in a hierarchical way. The DAE structure is exposed by means of specialprojector functions. Some issues on numerical integration and computational aspects are also treated in this context
Note:Springer eBooks
Contents:Notations
Introduction
Part I. Projector based approach
1 Linear constant coefficient DAEs
.2 Linear DAEs with variable coefficients
3 Nonlinear DAEs
Part II. Index
1 DAEs: Analysis and numerical treatment
4 Analysis
5 Numerical integration
6 Stability issues
Part III. Computational aspects
7 Computational linear algebra aspects
8 Aspects of the numerical treatment of higher index DAEs
Part IV. Advanced topics
9 Quasi
regular DAEs
10 Nonregular DAEs
11 Minimization with constraints described by DAEs
12 Abstract differential algebraic equations
ISBN:9783642275555
Series:e-books
Series:SpringerLink (Online service)
Series:Differential-Algebraic Equations Forum
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential Equations , Computer science Mathematics
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Call number:SPRINGER-2012-9783642280276:ONLINE Show nearby items on shelf
Title:Tensor Spaces and Numerical Tensor Calculus [electronic resource]
Author(s): Wolfgang Hackbusch
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Special numerical techniques are already needed to deal with nxn matrices for large n. Tensor data are of size nxnx...xn=n^d, where n^d exceeds the computer memory by far. They appear for problems of high spatial dimensions. Sincestandard methods fai l, a particular tensor calculus is needed to treat such problems. The monograph describes the methods how tensors can be practically treated and how numerical operations can be performed. Applications are problemsfrom quantum chemistry, approximation of m ultivariate functions, solution of pde, e.g., with stochastic coefficients, etc
Note:Springer eBooks
Contents:Part I: Algebraic Tensors
Introduction
Matrix Tools
Algebraic Foundations of Tensor Spaces
Part II: Functional Analysis of Tensor Spaces
Banach Tensor Spaces
General Techniques
Minimal Subspaces
Part III: Numerical Treatment
r
Term Representation
Tensor Subspace Represenation
r
Term Approximation
Tensor Subspace Approximation
Hierarchical Tensor Representation
Matrix Product Systems
Tensor Operations
Tensorisation
Generalised Cross Approximation
Applications to Elliptic Partial Differential Equations
Miscellaneous Topics
References
Ind
ISBN:9783642280276
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Series in Computational Mathematics, 0179-3632 : v42
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Chemistry , Numerical analysis
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Call number:SPRINGER-2010-9783642012877:ONLINE Show nearby items on shelf
Title:Involution [electronic resource] : The Formal Theory of Differential Equations and its Applications in Computer Algebra
Author(s): Werner M Seiler
Date:2010
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The book provides a self-contained account of the formal theory of general, i.e. also under- and overdetermined, systems of differential equations which in its central notion of involution combines geometric, algebraic,homological and combinatorial i deas. It presents for the first time in book form the theory of Pommaret bases, a special kind of Grbner bases closely related to Koszul homology, and contains an extensive discussion of the existenceand uniqueness of solutions of formally well-posed init ial value problems and a novel presentation of Vessiot's dual version of the Cartan-Khler theory. Special emphasis is put on a constructive approach leading to effectivealgorithms
Note:Springer eBooks
Contents:1 Introduction
2 Formal Geometry of Differential Equations
3 Involution I: Algebraic Theory
4 Completion to Involution
5 Structure Analysis of Polynomial Modules
6 Involution II: Homological Theory
7 Involution III: Differential Theory
8 The Size of the Formal Solution Space
9 Existence and Uniqueness of Solutions
10 Linear Differential Equations
A Miscellaneous
B Algebra
C Differential Geometry
References
Glossary
Index
ISBN:9783642012877
Series:e-books
Series:SpringerLink (Online service)
Series:Algorithms and Computation in Mathematics, 1431-1550 : v24
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra Data processing , Algebra , Differential Equations , Differential equations, partial
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Call number:SPRINGER-2009-9783764399986:ONLINE Show nearby items on shelf
Title:Frobenius Categories versus Brauer Blocks [electronic resource] : The Grothendieck Group of the Frobenius Category of a Brauer Block
Author(s): Llus Puig
Date:2009
Publisher:Basel : Birkhuser Basel
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book contributes to important questions in the representation theory of finite groups over fields of positive characteristic an area of research initiated by Richard Brauer sixty years ago with the introduction of theblocks of characters. On th e one hand, it introduces and develops the abstract setting of the Frobenius categories also called the Saturated fusion systems in the literature created by the author fifteen years ago for a betterunderstanding of what was loosely called the local the ory of a finite group around a prime number p or, later, around a Brauer block, and for the purpose of an eventual classification a reasonable concept of simple Frobeniuscategory arises. On the other hand, the book develops this abstract setting in paral lel with its application to the Brauer blocks, giving the detailed translation of any abstract concept in the particular context of the blocks. One ofthe new features in this direction is a framework for a deeper understanding of one of the central open p roblems in modular representation theory, known as Alperins Weight Conjecture (AWC). Actually, this new framework suggests amore general form of AWC, and a significant result of the book is a reduction theorem of this form of AWC to quasi-simple groups. A lthough this book is a research monograph, all the arguments are widely developed to make it accessibleto the interested graduate students and, at the same time, to put them on the verge of the research on this new subject: the third part of the book on t he localities associated to a Frobenius category gives some insight on the openquestion about the existence and the uniquenes of a perfect locality also called centric linking system in the literature. We have developed a long introduction to explain our purpose and to provide a guideline for the readerthroughout the twenty four sections. A systematic appendix on the cohomology of categories completes the book
Note:Springer eBooks
ISBN:9783764399986
Series:e-books
Series:SpringerLink (Online service)
Series:Progress in Mathematics : v274
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Group theory , Algebraic topology
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Call number:SPRINGER-2009-9783211994320:ONLINE Show nearby items on shelf
Title:Maple and Mathematica [electronic resource] : A Problem Solving Approach for Mathematics
Author(s): Inna K Shingareva
Carlos Lizrraga-Celaya
Date:2009
Publisher:Vienna : Springer Vienna
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The first book to compare the main two computer algebra systems (CAS), Maple and Mathematica used by students, mathematicians, scientists, and engineers. Both systems are presented in parallel so that Mathematica users can learnMaple quickly by findi ng the Maple equivalent to Mathematica functions, and vice versa. This student reference handbook consists of core material for incorporating Maple and Mathematica as a working tool into different undergraduatemathematical courses (abstract and linear alg ebra, geometry, calculus and analysis, complex functions, special functions, integral and discrete transforms, algebraic and transcendental equations, ordinary and partial differentialequations, integral equations, numerical analysis and scientific comput ing). The book also contains applications from various areas of mathematics, physics, and music theory and can be useful for graduate students, professors, andresearchers in science and engineering. One of the goals of this book is to develop problem-solv ing skills (that are most useful for solving sophisticated research problems) finding solutions with Maple and Mathematica and not todepend on a specific version of both systems (Maple 12 and Mathematica 6 and 7 are considered). Part I, describes the foun dations of Maple and Mathematica (with equivalent problems and solutions). Part II, describes Mathematics withMaple and Mathematica by using equivalent problems. Finally, this book is ideal for scientists who want to corroborate their Maple and Mathematic a work with independent verification provided by another CAS. J. Carter, SIAM Review 50:149-152 (2008).
Note:Springer eBooks
Contents:From the contents Preface
Foundations of Maple and Mathematica: Maple Mathematica
Mathematics: Maple and Mathematica: Graphics Algebra Linear Algebra Geometry Calculus and Analysis Complex Functions Special Functions and Orthogonal Polynomials Integral and Discrete Transforms MathematicalEquations Numerical Analysis and Sci entific Computing
References
General Index
Maple Index
Mathematica Index
CD
ROM Contents
ISBN:9783211994320
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science , Computer science Mathematics , Computer software , Engineering
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Call number:SPRINGER-2009-9783034600026:ONLINE Show nearby items on shelf
Title:Flag-transitive Steiner Designs [electronic resource]
Author(s): Michael Huber
Date:2009
Publisher:Basel : Birkhuser Basel
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The monograph provides the first full discussion of flag-transitive Steiner designs. This is a central part of the study of highly symmetric combinatorial configurations at the interface of several mathematical disciplines, likefinite or incidence ge ometry, group theory, combinatorics, coding theory, and cryptography. In a sufficiently self-contained and unified manner the classification of all flag-transitive Steiner designs is presented. This recent resultsettles interesting and challenging questio ns that have been object of research for more than 40 years. Its proof combines methods from finite group theory, incidence geometry, combinatorics, and number theory. The book contains abroad introduction to the topic, along with many illustrative exampl es. Moreover, a census of some of the most general results on highly symmetric Steiner designs is given in a survey chapter. The monograph is addressed to graduatestudents in mathematics and computer science as well as established researchers in design th eory, finite or incidence geometry, coding theory, cryptography, algebraic combinatorics, and more generally, discrete mathematics
Note:Springer eBooks
Contents:Preface
1. Incidence Structures and Steiner Designs
2. Permutation Groups and Group Actions
3. Number Theoretical Tools
4. Highly Symmetric Steiner Designs
5. A Census of Highly Symmetric Steiner Designs
6. The Classification of Flag
transitive Steiner Quadruple Systems
7. The Classification of Flag
transitive Steiner 3
Designs
8. The Classification of Flag
transitive Steiner 4
Designs
9. The Classification of Flag
transitive Steiner 5
Designs
10. The Non
Existence of Flag
transitive Steiner 6
Designs
References
Index
ISBN:9783034600026
Series:e-books
Series:SpringerLink (Online service)
Series:Frontiers in Mathematics, 1660-8046
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Combinatorics , Discrete groups
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Call number:SPRINGER-2007-9783764383312:ONLINE Show nearby items on shelf
Title:Singularly Perturbed Boundary-Value Problems [electronic resource]
Author(s): Luminia Barbu
Gheorghe Moroanu
Date:2007
Publisher:Basel : Birkhuser Basel
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book offers a detailed asymptotic analysis of some important classes of singularly perturbed boundary value problems which are mathematical models for various phenomena in biology, chemistry, and engineering. The authors areparticularly interest ed in nonlinear problems, which have hardly been examined so far in the literature dedicated to singular perturbations. This book proposes to fill in this gap, since most applications are described by nonlinearmodels. Their asymptotic analysis is very int eresting, but requires special methods and tools. The treatment presented in this volume combines some of the most successful results from different parts of mathematics, includingfunctional analysis, singular perturbation theory, partial differential equ ations, and evolution equations. Thus a complete justification for the replacement of various perturbed models with corresponding reduced models, which aresimpler but in general have a different character, is offered to the reader Specific applications ar e addressed, such as propagation of electromagnetic or mechanical waves, fluid flows, or diffusion processes. However, the methodspresented are also applicable to other mathematical models. The book covers mostly original results by the authors. It is des igned for researchers and graduate students
Note:Springer eBooks
Contents:Preface
I Preliminaries
1. Regular and Singular Perturbations
2. Evolution Equations in Hilbert Spaces
II Singularly Perturbed Hyperbolic Problems
3. Presentation of the Problems
4. Hyperbolic Systems with Algebraic Boundary Conditions
5. Hyperbolic Systems with Dynamic Boundary Conditions
III Singularly Perturbed Coupled Boundary Value Problems
6. Presentation of the Problems
7. The Stationary Case
8. The Evolutionary Case
IV Elliptic and Hyperbolic Regularizations of Parabolic Problems
9. Presentation of the Problems
10. The Linear Case
11. The Nonl
ISBN:9783764383312
Series:e-books
Series:SpringerLink (Online service)
Series:International Series of Numerical Mathematics : v156
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential equations, partial
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Call number:SPRINGER-2007-9781402054044:ONLINE Show nearby items on shelf
Title:Equidistribution in Number Theory, An Introduction [electronic resource]
Author(s): Andrew Granville
Zev Rudnick
Date:2007
Publisher:Dordrecht : Springer Netherlands
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Written for graduate students and researchers alike, this set of lectures provides a structured introduction to the concept of equidistribution in number theory. This concept is of growing importance in many areas, includingcryptography, zeros of L-f unctions, Heegner points, prime number theory, the theory of quadratic forms, and the arithmetic aspects of quantum chaos. The volume brings together leading researchers from a range of fields, whoseaccessible presentations reveal fascinating links betwee n seemingly disparate areas
Note:Springer eBooks
Contents:Preface. Contributors
Biographical Sketches of the Lecturers. Uniform Distribution
1. Uniform Distribution mod One.2. Fractional Parts of an2 .3. Uniform Distribution mod N.4. Normal Numbers. Sieving and the ErdosKac Theorem
Uniform Distribution, Exponential Sums, and Cryptography
1 Randomness and Pseudorandomness. 2 Uniform Distribution and Exponential Sums. 3. Exponential Sums and Cryptography. 4. Some Exponential Sum Bounds. 5. General Modulus and Discrepancy of DiffieHellman Triples. 6.Pseudorandom Number Generation . 7 Large Periods and the Carmichael Function. 8 Expone
ISBN:9781402054044
Series:e-books
Series:SpringerLink (Online service)
Series:NATO Science Series, 1568-2609 : v237
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geometry, algebraic , Differentiable dynamical systems , Fourier analysis , Number theory
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Call number:SPRINGER-2007-9780817646134:ONLINE Show nearby items on shelf
Title:Advanced Algebra [electronic resource] : Along with a companion volume Basic Algebra
Author(s): Anthony W Knapp
Date:2007
Publisher:Boston, MA : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Together, the two books give the reader a globalview of algebra and its r ole in mathematics as a whole. Key topics and features of Advanced Algebra: *Topics build upon the linear algebra, group theory, factorization of ideals, structure of fields, Galois theory, and elementarytheory of modules as developed in Basic Algebra *Ch apters treat various topics in commutative and noncommutative algebra, providing introductions to the theory of associative algebras, homological algebra, algebraic number theory, andalgebraic geometry *Sections in two chapters relate the theory to the su bject of Grbner bases, the foundation for handling systems of polynomial equations in computer applications *Text emphasizes connections between algebra andother branches of mathematics, particularly topology and complex analysis *Book carries on two prom inent themes recurring in Basic Algebra: the analogy between integers and polynomials in one variable over a field, and the relationshipbetween number theory and geometry *Many examples and hundreds of problems are included, along with hints or complete s olutions for most of the problems *The exposition proceeds from the particular to the general, often providingexamples well before a theory that incorporates them it includes blocks of problems that illuminate aspects of the text and introduce additional topics Advanced Algebra presents its subject matter in a forward-looking way that takesinto account the historical development of the subject. It is suitable as a text for the more advanced parts of a two-semester first-year graduate sequence in algebra. It requires of the reader only a familiarity with the topicsdeveloped in Basic Algebra
Note:Springer eBooks
Contents:Transition to Modern Number Theory
WedderburnArtin Ring Theory
Brauer Group
Homological Algebra
Three Theorems in Algebraic Number Theory
Reinterpretation with Adeles and Ideles
Infinite Field Extensions
Background for Algebraic Geometry
The Number Theory of Algebraic Curves
Methods of Algebraic Geometry
ISBN:9780817646134
Series:e-books
Series:SpringerLink (Online service)
Series:Cornerstones
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Geometry, algebraic , Field theory (Physics) , Number theory
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Call number:SPRINGER-2007-9780387681672:ONLINE Show nearby items on shelf
Title:Numerical Techniques for Chemical and Biological Engineers Using MATLAB [electronic resource] : A Simple Bifurcation Approach
Author(s): Said S. E. H Elnashaie
Frank Uhlig
Date:2007
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This is a textbook for undergraduate students of chemical and biological engineering. It is also useful for graduate students, professional engineers and numerical analysts. All reactive chemical and biological processes arehighly nonlinear allowing for multiple steady states. This book addresses the bifurcation characteristics of chemical and biological processes as the general case and treats systems with a unique steady state as special cases. It usesa system approach which is the most efficient f or knowledge organization and transfer. The book develops mathematical models for many commercial processes utilizing the mass-, momentum-, and heat-balance equations coupled to the ratesof the processes that take place within the boundaries of the system . The models are solved numerically through MATLAB codes with emphasis on the design and optimization of the chemical and biological industrial equipment and plants,such as single and batteries of CSTRs, porous and nonporous catalyst pellets and their eff ectiveness factors, tubular catalytic and noncatalytic reactors, fluidized bed catalytic reactors, coupled fluidized beds such asreactor-regenerator systems (industrial fluid catalytic cracking units), fluidized bed reformers for producing hydrogen or syn gas, fermenters for fuel ethanol, simulation of the brain acetylcholine neurocycle, anaerobic digesters, co-and countercurrent absorption columns, and many more. The book also includes verification against industrial data. The algorithms include solving t ranscendental and algebraic equations, with and without bifurcation as well as initialand boundary value ordinary differential equations. Said Elnashaie is Professor of Chemical and Biological Engineering at the University of British Columbia. Frank Uhlig is Professor of Mathematics at Auburn University. Chadia Affaneis a Ph.D. candidate in Applied Mathematics at Auburn with a B.S. in Chemical Engineering
Note:Springer eBooks
Contents:Introduction
Computations and MATLAB
Modeling, Simulation and Design
Some Models with Scalar Equations
Initial Value Problems
Boundary Value Problems
Heterogeneous and Multistage Systems
Industrial Problems
Appendix 1: Linear Algebra and Matrices
Appendix 2: Bifurcation, Instability and Chaos in Chemical and Biological Systems
Appendix 3: Contents of the CD and How to Use it
Resources
Epilogue
Index
List of Photographs
ISBN:9780387681672
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Biochemical engineering , Chemical engineering , Computer science Mathematics , Computer science
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Call number:SPRINGER-2007-9780387499239:ONLINE Show nearby items on shelf
Title:Number Theory [electronic resource] : Volume I: Tools and Diophantine Equations
Author(s): Henri Cohen
Date:2007
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The central theme of this graduate-level number theory textbook is the solution of Diophantine equations, i.e., equations or systems of polynomial equations which must be solved in integers, rational numbers or more generally inalgebraic numbers. Thi s theme, in particular, is the central motivation for the modern theory of arithmetic algebraic geometry. In this text, this is considered through three aspects. The first is the local aspect: one can do analysisin p-adic fields, and here the author start s by looking at solutions in finite fields, then proceeds to lift these solutions to local solutions using Hensel lifting. The second is the global aspect: the use of number fields, and inparticular of class groups and unit groups. This classical subject is here illustrated through a wide range of examples. The third aspect deals with specific classes of equations, and in particular the general and Diophantine study ofelliptic curves, including 2 and 3-descent and the Heegner point method. These subjects form the first two parts, forming Volume I. The study of Bernoulli numbers, the gamma function, and zeta and L-functions, and of p-adic analoguesis treated at length in the third part of the book, including many interesting and original applications. Much more sophisticated techniques have been brought to bear on the subject of Diophantine equations, and for this reason, theauthor has included five chapters on these techniques forming the fourth part, which together with the third part forms Volume II. Th ese chapters were written by Yann Bugeaud, Guillaume Hanrot, Maurice Mignotte, Sylvain Duquesne, SamirSiksek, and the author, and contain material on the use of Galois representations, points on higher-genus curves, the superfermat equation, Mihailescu's proof of Catalan's Conjecture, and applications of linear forms in logarithms. Thebook contains 530 exercises of varying difficulty from immediate consequences of the main text to research problems, and
Note:Springer eBooks
Contents:Preface
Introduction to Diophantine Equations
Abelian Groups, Lattices, and Finite Fields
Basic Algebraic Number Theory
p
adic Fields
Quadratic Forms and Local
Global Principles
Some Diophantine Equations
Eilliptic Curves
Diophantine Aspects of Elliptic Curves
Bibliography
Index
ISBN:9780387499239
Series:e-books
Series:SpringerLink (Online service)
Series:Graduate Texts in Mathematics, 0072-5285 : v239
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Field theory (Physics) , Algebra , Computer science Mathematics , Algorithms , Number theory
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Call number:SPRINGER-2007-9780387498942:ONLINE Show nearby items on shelf
Title:Number Theory [electronic resource] : Volume II: Analytic and Modern Tools
Author(s): Henri Cohen
Date:2007
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The central theme of this graduate-level number theory textbook is the solution of Diophantine equations, i.e., equations or systems of polynomial equations which must be solved in integers, rational numbers or more generally inalgebraic numbers. Thi s theme, in particular, is the central motivation for the modern theory of arithmetic algebraic geometry. In this text, this is considered through three aspects. The first is the local aspect: one can do analysisin p-adic fields, and here the author start s by looking at solutions in finite fields, then proceeds to lift these solutions to local solutions using Hensel lifting. The second is the global aspect: the use of number fields, and inparticular of class groups and unit groups. This classical subject is here illustrated through a wide range of examples. The third aspect deals with specific classes of equations, and in particular the general and Diophantine study ofelliptic curves, including 2 and 3-descent and the Heegner point method. These subjects form the first two parts, forming Volume I. The study of Bernoulli numbers, the gamma function, and zeta and L-functions, and of p-adic analoguesis treated at length in the third part of the book, including many interesting and original applications. Much more sophisticated techniques have been brought to bear on the subject of Diophantine equations, and for this reason, theauthor has included five chapters on these techniques forming the fourth part, which together with the third part forms Volume II. Th ese chapters were written by Yann Bugeaud, Guillaume Hanrot, Maurice Mignotte, Sylvain Duquesne, SamirSiksek, and the author, and contain material on the use of Galois representations, points on higher-genus curves, the superfermat equation, Mihailescu's proof of Catalan's Conjecture, and applications of linear forms in logarithms. Thebook contains 530 exercises of varying difficulty from immediate consequences of the main text to research problems, and
Note:Springer eBooks
Contents:Bernoulli Polynomials and the Gamma Functions
Dirichlet Series
Applications of Linear Forms in Logarithms
Rational Points on Higher Genus Curves
The Modular Approach to Diophantine Equations
The Superfermat Equation
Catalans Equation
Bibliography
Index
ISBN:9780387498942
Series:e-books
Series:SpringerLink (Online service)
Series:Graduate Texts in Mathematics, 0072-5285 : v240
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Field theory (Physics) , Algebra , Computer science Mathematics , Algorithms , Number theory
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Call number:SPRINGER-2006-9783540360230:ONLINE Show nearby items on shelf
Title:Function Algebras on Finite Sets [electronic resource] : A Basic Course on Many-Valued Logic and Clone Theory
Author(s): Dietlinde Lau
Date:2006
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Functions which are defined on finite sets occur in almost all fields of mathematics. For more than 80 years algebras whose universes are such functions (so-called function algebras), have been intensively studied. This book givesa broad introduction to the theory of function algebras and leads to the cutting edge of research. To familiarize the reader from the very beginning on with the algebraic side of function algebras the more general concepts of theUniversal Algebra is given in the first part o f the book. The second part on fuction algebras covers the following topics: Galois-connection between function algebras and relation algebras, completeness criterions, clone theory. Thisbook is an insdispensible source on function algebras for graduate s tudents and researchers in mathematical logic and theoretical computer science
Note:Springer eBooks
Contents:Preliminaries
Preliminaries
Universal Algebra
Basic Concepts of Universal Algebra
Lattices
Hull Systems and Closure Operators
Homomorphisms, Congruences, and Galois Connections
Direct and Subdirect Products
Varieties, Equational Classes, and Free Algebras
Function Algebras
Basic Concepts, Notations, and First Properties
The Galois
Connection Between Function
and Relation
Algebras
The Subclasses of P2
The Subclasses of Pk Which Contain Pk1
The Maximal Classes of Pk
Rosenbergs Completeness Criterion for Pk
Further Completeness Criteria
Some
ISBN:9783540360230
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Monographs in Mathematics, 1439-7382
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science , Algebra , Logic, Symbolic and mathematical
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Call number:SPRINGER-2006-9783540346739:ONLINE Show nearby items on shelf
Title:Dynamical Entropy in Operator Algebras [electronic resource]
Author(s): Sergey Neshveyev
Erling Strmer
Date:2006
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:During the last 30 years there have been several attempts at extending the notion of entropy to noncommutative dynamical systems. The authors present in the book the two most successful approaches to the extensions of measureentropy and topological e ntropy to the noncommutative setting and analyze in detail the main models in the theory. The book addresses mathematicians and physicists, including graduate students, who are interested in quantum dynamicalsystems and applications of operator algebras a nd ergodic theory. Although the authors assume a basic knowledge of operator algebras, they give precise definitions of the notions and in most cases complete proofs of the results whichare used
Note:Springer eBooks
Contents:General Theory
Classical Dynamical Systems
Relative Entropy
Dynamical Entropy
Maximality of Entropy and Commutativity
Dynamical Abelian Models
Topological Entropy
Dynamics on the State Space
Crossed Products
Variational Principle
Special Topics
Relative Entropy and Subfactors
Systems of Algebraic Origin
Binary Shifts
Bogoliubov Automorphisms
Free Products
ISBN:9783540346739
Series:e-books
Series:SpringerLink (Online service)
Series:Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics : v50
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Functional analysis , Operator theory , Mathematical physics
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Call number:SPRINGER-2006-9781402042669:ONLINE Show nearby items on shelf
Title:Morse Theoretic Methods in Nonlinear Analysis and in Symplectic Topology [electronic resource]
Author(s): Paul Biran
Octav Cornea
Franois Lalonde
Date:2006
Publisher:Dordrecht : Springer Netherlands
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This volume contains contributions to the Sminaire de Mathmatiques Suprieures NATO Advanced Study Institute on Morse theoretic Methods in non-linear Analysis and Symplectic Topology which was held at the Universitde Montral in the summer of 2004. Th e recent years have witnessed the emergence of a deeper and more general formalism of the main geometric ideas in these fields. The surveys and research papers in this volume are a striking exampleof this trend. They provide an up-to-date overview of some of the most significant advances in these topics. The text is of high relevance for graduate students as well as for more senior mathematicians with interest in a wide range oftopics going from symplectic topology to dynamical systems and from algebraic and differential topology to variational methods
Note:Springer eBooks
Contents:Preface.Contributors. Lectures on the Morse Complex for Infinite
Dimensional Manifolds
1. A few facts from hyperbolic dynamics
1.1 Adapted norms
1.2 Linear stable and unstable spaces of an asymptotically hyperbolic path
1.3 Morse vector fields
1.4 Local dynamics near a hyperbolic rest point 1.5 Local stable and unstable manifolds
1.6 The Grobman Hartman linearization theorem
1.7 Global stable and unstable manifolds
2 The Morse complex in the case of finite Morse indices
2.1 The Palais Smale condition
2.2 The Morse Smale condition
2.3 The assumptions
2.4 F
ISBN:9781402042669
Series:e-books
Series:SpringerLink (Online service)
Series:NATO Science Series II: Mathematics, Physics and Chemistry, 1568-2609 : v217
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Differential equations, partial , Global differential geometry , Mathematical optimization , Topology , Algebraic topology
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Call number:SPRINGER-2005-9780387245065:ONLINE Show nearby items on shelf
Title:Pseudosolution of Linear Functional Equations [electronic resource] : Parameters Estimation of Linear Functional Relationships
Author(s): Alexander S Mechenov
Date:2005
Publisher:Boston, MA : Springer US
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book presents the authors new method of two-stage maximization of likelihood function, which helps to solve a series of non-solving before the well-posed and ill-posed problems of pseudosolution computing systems oflinear algebraic equations (or , in statistical terminology, parameters estimators of functional relationships) and linear integral equations in the presence of deterministic and random errors in the initial data. This book, for thefirst time, presents a solution of the problem of reci procal influence of passive errors of regressors and of active errors of predictors by computing point estimators of functional relationships. Audience This book is intended forstudents, postgraduate students, scientists, and other researchers on handling economical and technical data. The book is especially intended for those who constantly use regression analysis in their own research and for those whocreate the mathematical software for computers
Note:Springer eBooks
Contents:Contents
General Preface
Labels and Abbreviations
Chapter I. Systems of Linear Algebraic Equations
Chapter II. Systems of Linear Algebraic Equations
Chapter III. Linear Integral Equations
References
Application
Index
Glossary of Symbols
ISBN:9780387245065
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Its Applications : v576
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science Mathematics , Econometrics
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Call number:SPRINGER-2004-9783662096499:ONLINE Show nearby items on shelf
Title:Quantum-Classical Correspondence Dynamical Quantization and the Classical Limit
Author(s): A. O Bolivar
Date:2004
Size:1 online resource (190 p.)
Note:10.1007/978-3-662-09649-9
Contents:1 Towards a Non-Galilean View of Physics -- 2 Some Basics of Stochastic Processes -- 3 Classical Physics -- 4 Quantum Physics -- 5 Classical Limit of Quantum Physics -- 6 Summary and Open Questions -- A Elements of Set Theory -- A.1
Definitions -- A.2 Algebraic Structure -- A.3 Borel Field -- A.4 Set Function and Point Function -- B Quantization of the Smoluchowski Equation -- B.1 Constant Force -- B.2 Linear Force -- B.3 General Case -- C Dynamical Quantization
Versus Dirac Quantization -- D Dynamical Quantization Versus Feynman Quantization -- E Wigner Representation of Classical Mechanics -- E.1 Dynamics -- E.2 Kinematics -- References
ISBN:9783662096499
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Probabilities , Quantum physics , Statistical physics , Dynamical systems , Physics , Quantum Physics , Probability Theory and Stochastic Processes , Statistical Physics, Dynamical Systems and Complexity
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Call number:SPRINGER-2004-9783662064023:ONLINE Show nearby items on shelf
Title:Continuum Methods of Physical Modeling Continuum Mechanics, Dimensional Analysis, Turbulence
Author(s): Kolumban Hutter
Date:2004
Size:1 online resource (636 p.)
Note:10.1007/978-3-662-06402-3
Contents:Introduction -- Continuum Mechanics: Basic Kinematics -- Balance Equations -- Jump Conditions -- Moving Reference Systems -- Material Equations -- Phase Transition in Viscous Heat Conducting Compressible Fluids -- Theory of Mixtures
-- Dimensional Analysis: Theoretical Foundation of Dimensional Analysis -- Similitude and Model Experiments -- Turbulence: Fundamental Concepts of Turbulence -- k-e Model for Density Preserving and Boussinesq Fluids -- Algebraic
Reynolds Stress Models -- Application of k-e Model -- References -- Indices
ISBN:9783662064023
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Earth sciences , Geophysics , Atmospheric sciences , Mechanics , Thermodynamics , Physics , Mechanics , Theoretical, Mathematical and Computational Physics , Thermodynamics , Geophysics/Geodesy , Atmospheric Sciences , Earth Sciences, general
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Call number:SPRINGER-2004-9783662057988:ONLINE Show nearby items on shelf
Title:Applied Mathematics: Body and Soul Volume 2: Integrals and Geometry in IRn
Author(s): Kenneth Eriksson
Date:2004
Size:1 online resource (352 p.)
Note:10.1007/978-3-662-05798-8
Contents:Volume 2 -- 27 The Integral -- 28 Properties of the Integral -- 29 The Logarithm log(x) -- 30 Numerical Quadrature -- 31 The Exponential Function exp(x) = ex -- 32 Trigonometric Functions -- 33 The Functions exp(z), log(z), sin(z) and
cos(z) forz ? ? -- 34 Techniques of Integration -- 35 Solving Differential Equations Using the Exponential -- 36 Improper Integrals -- 37 Series -- 38 Scalar Autonomous Initial Value Problems -- 39 Separable Scalar Initial Value
Problems -- 40 The General Initial Value Problem -- 41 Calculus Tool Bag I -- 42 Analytic Geometry in ?n -- 43 The Spectral Theorem -- 44 Solving Linear Algebraic Systems -- 45 Linear Algebra Tool Bag -- 46 The Matrix Exponential
exp(xA) -- 47 Lagrange and the Principle of Least Action* -- 48 N-Body Systems* -- 49 The Crash Model* -- 50 Electrical Circuits* -- 51 String Theory* -- 52 Piecewise Linear Approximation -- 53 FEM for Two-Point Boundary Value Problems
-- References
ISBN:9783662057988
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Chemometrics , Matrix theory , Algebra , Mathematical analysis , Analysis (Mathematics) , Computer mathematics , Physics , Applied mathematics , Engineering mathematics , Mathematics , Analysis , Linear and Multilinear Algebras, Matrix Theory , Computational Mathematics and Numerical Analysis , Math. Applications in Chemistry , Appl.Mathematics/Computational Methods of Engineering , Mathematical Methods in Physics
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Call number:SPRINGER-2004-9783662054413:ONLINE Show nearby items on shelf
Title:Lectures on Partial Differential Equations
Author(s): Vladimir I Arnold
Date:2004
Size:1 online resource (162 p.)
Note:10.1007/978-3-662-05441-3
Contents:1. The General Theory for One First-Order Equation -- 2. The General Theory for One First-Order Equation (Continued) -- 3. Huygens’ Principle in the Theory of Wave Propagation -- 4. The Vibrating String (d’Alembert’s Method) -- 5. The
Fourier Method (for the Vibrating String) -- 6. The Theory of Oscillations. The Variational Principle -- 7. The Theory of Oscillations. The Variational Principle (Continued) -- 8. Properties of Harmonic Functions -- 9. The Fundamental
Solution for the Laplacian. Potentials -- 10. The Double-Layer Potential -- 11. Spherical Functions. Maxwell’s Theorem. The Removable Singularities Theorem -- 12. Boundary-Value Problems for Laplace’s Equation. Theory of Linear
Equations and Systems -- A. The Topological Content of Maxwell’s Theorem on the Multifield Representation of Spherical Functions -- A.1. The Basic Spaces and Groups -- A.2. Some Theorems of Real Algebraic Geometry -- A.3. From
Algebraic Geometry to Spherical Functions -- A.4. Explicit Formulas -- A.6. The History of Maxwell’s Theorem -- Literature -- B. Problems -- B.1. Material from the Seminars -- B.2. Written Examination Problems
ISBN:9783662054413
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Partial differential equations , Physics , Mathematics , Partial Differential Equations , Theoretical, Mathematical and Computational Physics
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Call number:SPRINGER-2004-9783642593048:ONLINE Show nearby items on shelf
Title:MuPAD Tutorial
Author(s): Christopher Creutzig
Date:2004
Edition:Second Edition
Size:1 online resource (415 p.)
Note:10.1007/978-3-642-59304-8
Contents:1. Introduction -- 1.1 Numerical Computations -- 1.2 Computer Algebra -- 1.3 Characteristics of Computer Algebra Systems -- 1.4 Existing Systems -- 1.5 MuPAD -- 2. First Steps in MuPAD -- 2.1 Explanations and Help -- 2.2 Computing
with Numbers -- 2.3 Symbolic Computation -- 3. The MuPAD Libraries -- 3.1 Information About a Particular Library -- 3.2 Exporting Libraries -- 3.3 The Standard Library -- 4. MuPAD Objects -- 4.1 Operands: the Functions op and fops --
4.2 Numbers -- 4.3 Identifiers -- 4.4 Symbolic Expressions -- 4.5 Sequences -- 4.6 Lists -- 4.7 Sets -- 4.8 Tables -- 4.9 Arrays -- 4.10 Boolean Expressions -- 4.11 Strings -- 4.12 Functions -- 4.13 Series Expansions -- 4.14 Algebraic
Structures: Fields, Rings, etc. -- 4.15 Vectors and Matrices -- 4.16 Polynomials -- 4.17 Interval Arithmetic -- 4.18 Null Objects: null (), NIL, FAIL, undefined -- 5. Evaluation and Simplification -- 5.1 Identifiers and Their Values --
5.2 Complete, Incomplete, and Enforced Evaluation -- 5.3 Automatic Simplification -- 6. Substitution: subs, subsex, and subsop -- 7. Differentiation and Integration -- 7.1 Differentiation -- 7.2 Integration -- 8. Solving Equations:
solve -- 8.1 Polynomial Equations -- 8.2 General Equations and Inequalities -- 8.3 Differential Equations -- 8.4 Recurrence Equations -- 9. Manipulating Expressions -- 9.1 Transforming Expressions -- 9.2 Simplifying Expressions -- 9.3
Assumptions About Symbolic Identifiers -- 10. Chance and Probability -- 11. Graphics -- 11.1 Introduction -- 11.2 Easy Plotting: Graphs of Functions -- 11.3 Advanced Plotting: Principles and First Examples -- 11.4 The Full Picture:
Graphical Trees -- 11.5 Viewer, Browser, and Inspector: Interactive Manipulation -- 11.6 Primitives -- 11.7 Attributes -- 11.8 Colors -- 11.9 Animations -- 11.10 Groups of Primitives -- 11.11 Transformations -- 11.12 Legends -- 11.13
Fonts -- 11.14 Saving and Exporting Pictures -- 11.15 Importing Pictures -- 11.16 Cameras in 3D -- 11.17 Strange Effects in 3D? Accelerated OpenGL? -- 12. The History Mechanism -- 13. Input and Output -- 13.1 Output of Expressions --
13.2 Reading and Writing Files -- 14. Utilities -- 14.1 User-Defined Preferences -- 14.2 Information on MuPAD Algorithms -- 14.3 Restarting a MuPAD Session -- 14.4 Executing Commands of the Operating System -- 15. Type Specifiers --
15.1 The Functions type and testtype -- 15.2 Comfortable Type Checking: the Type Library -- 16. Loops -- 17. Branching: if-then-else and case -- 18. MuPAD Procedures -- 18.1 Defining Procedures -- 18.2 The Return Value of a Procedure
-- 18.3 Returning Symbolic Function Calls -- 18.4 Local and Global Variables -- 18.5 Subprocedures -- 18.6 Scope of Variables -- 18.7 Type Declaration -- 18.8 Procedures with a Variable Number of Arguments -- 18.9 Options: the Remember
Table -- 18.10 Input Parameters -- 18.11 Evaluation Within Procedures -- 18.12 Function Environments -- 18.13 A Programming Example: Differentiation -- 18.14 Programming Exercises -- A. Solutions to Exercises -- B. Documentation and
References -- C. Graphics Gallery -- D. Comments on the Graphics Gallery
ISBN:9783642593048
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Information technology , Business , Computers , Visualization , Computer software , Physics , Applied mathematics , Engineering mathematics , Mathematics , Mathematical Software , Information Systems and Communication Service , Visualization , Theoretical, Mathematical and Computational Physics , Appl.Mathematics/Computational Methods of Engineering , IT in Business
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Call number:SPRINGER-2004-9783642184871:ONLINE Show nearby items on shelf
Title:Algebra, Arithmetic and Geometry with Applications Papers from Shreeram S. Abhyankar’s 70th Birthday Conference
Author(s):
Date:2004
Size:1 online resource (785 p.)
Note:10.1007/978-3-642-18487-1
Contents:Preface -- A Robust, Computationally Efficient Methodology to Set Service Levels for Components in Assemble-to-Order Environments -- Smale Strategies for Prisoner’s Dilemma Type Games -- Remembrances of Prof. Shreeram S. Abhyankar and
ABC of Singularities -- Thoughts on Symplectic Groups and Symplectic Equations -- Field Generators for the Quantum Plane -- Bounding Singular Surfaces of General Type -- Toric Modifications of Free Toric Varieties -- Recent Remarks on
Analytical Equivalence -- Behavior of the Torsion of the Differential Module of an Algebroid Curve Under Quadratic Transformations -- Note on Equisingularity in Codimension 1 and Characteristic p ? = 0 -- Toric Structure of the Graded
Algebra Relative to a Valuation -- Postulation of Adjoint Ideals and Geometry of Projective Curves -- Belghitti-Gruson or Semple? -- 2S4*Q8-extensions -- The Structure of Morphisms -- Around the Abhyankar-Moh Theorem -- PSL2(11) is
Admissible for all Number Fields -- Adjoints and Max Noether’s Fundamentalsatz -- Continuity Loci for Polynomial Systems -- Asymptotically Optimal Towers of Curves over Finite Fields -- The Hilbert Series of Pfaffian Rings -- The
Impact of the Infinite Primes on the Riemann Hypothesis for Characteristic p Valued L-series -- General Elements of Complete Ideals and Valuations Centered at a Two-dimensional Regular Local Ring -- Exceptional Polynomials over
Arbitrary Fields -- Abhyankar’s Local Conjecture on Fundamental Groups -- Questions of Connectedness of the Hilbert Scheme of Curves in ?3 -- Catenary Local Rings with Geometrically Normal Formal Fibers -- Diamond Closure -- A
Determinantal Formula for the Hilbert Series of One-sided Ladder Determinantal Rings -- Multiplicities of Singular Points in Schubert Varieties of Grassmannians -- Geometric Applications of the Residue Theorem on Algebraic Curves -- On
p-Groups in Characteristic p -- Degree Two Generalized Iteration of q-Additive Polynomials -- Wild Singularites on the Fermat Curve over Z -- Algebraic Curves over F3 with Many Rational Points -- Gröbner Bases of Symmetric Quotients
and Applications -- Abstract Embeddings of Concrete Matrix-Groups -- Some Generalization of Melville Theorem -- Multiple Planes Ramified over One-place Curves -- An Application of Generalized Newton Puiseux Expansions -- Elliptic
Subfields and Automorphisms of Genus 2 Function Fields -- Some Ideas in the Classification of the Finite Simple Groups -- Abhyankar’s Nice Equations -- The Scientific WorkPlace Computational Interface -- Diophantine Approximation in
Finite Characteristic -- Puiseux Expansions in Nonzero Characteristic -- Arithmetical-Geometrical Galois Representations and the Inverse Galois Problem -- Polynomials and Power Series -- Author Index
ISBN:9783642184871
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebra , Algebraic geometry , Mathematics , Algebra , Algebraic Geometry
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Call number:SPRINGER-2004-9781461302155:ONLINE Show nearby items on shelf
Title:Modeling Languages in Mathematical Optimization
Author(s):
Date:2004
Size:1 online resource (408 p.)
Note:10.1007/978-1-4613-0215-5
Contents:I Theoretical and Practical Concepts of Modeling Languages -- 1 Mathematical Optimization and the Role of Modeling Languages -- 2 Models and the History of Modeling -- 3 Mathematical Model Building -- 4 Theoretical Concepts and Design
of Modeling Languages -- 5 The Importance of Modeling Languages for Solving Real-World Problems -- II The Modeling Languages in Detail -- 6 The Modeling Language AIMMS -- 7 Design Principles and New Developments in the AMPL Modeling
Language -- 8 General Algebraic Modeling System (GAMS) -- 9 The LINGO Algebraic Modeling Language -- 10 The LPL Modeling Language -- 11 The MINOPT Modeling Language -- 12 Mosel: A Modular Environment for Modeling and Solving
Optimization Problems -- 13 The MPL Modeling System -- 14 The Optimization Systems MPSX and OSL -- 15 The NOP-2 Modeling Language -- 16 The OMNI Modeling System -- 17 The OPL Studio Modeling System -- 18 PCOMP: A Modeling Language for
Nonlinear Programs with Automatic Differentiation -- 19 The Tomlab Optimization Environment -- III The Future of Modeling Systems -- 20 The Future of Modeling Languages and Modeling Systems -- References
ISBN:9781461302155
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Applied Optimization: 88
Keywords: Mathematics , Programming languages (Electronic computers) , Numerical analysis , Computer science , Mathematical models , Mathematical optimization , Mathematics , Mathematical Modeling and Industrial Mathematics , Optimization , Symbolic and Algebraic Manipulation , Numeric Computing , Programming Languages, Compilers, Interpreters
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Call number:SPRINGER-2003-9783642558269:ONLINE Show nearby items on shelf
Title:Computer Algebra Handbook Foundations · Applications · Systems
Author(s):
Date:2003
Size:1 online resource (637 p.)
Note:10.1007/978-3-642-55826-9
Contents:1 Development, Characterization, Prospects -- 1.1 Historical Remarks -- 1.2 General Characterization -- 1.3 Impact on Education -- 1.4 Impact on Research -- 1.5 Computer Algebra — Today and Tomorrow -- 2 Topics of Computer Algebra --
2.1 Exact Arithmetic -- 2.2 Algorithms for Polynomials and Power Series -- 2.3 Linear Algebra -- 2.4 Constructive Methods of Number Theory -- 2.5 Algorithms of Commutative Algebra and Algebraic Geometry -- 2.6 Algorithmic Aspects of
the Theory of Algebras -- 2.7 Computational Group Theory -- 2.8 Algorithms of Representation Theory -- 2.9 Algebraic Methods for Constructing Discrete Structures -- 2.10 Summation and Integration -- 2.11 Symbohc Methods for
DiflFerential Equations -- 2.12 Symbolic/Numeric Methods -- 2.13 Algebraic Complexity Theory -- 2.14 Coding Theory and Cryptography -- 2.15 Algorithmic Methods inUniversal Algebra and Logic -- 2.16 Knowledge Representation and Abstract
Data Types -- 2.17 On the Design of Computer Algebra Systems -- 2.18 Parahel Computer Algebra Systems -- 2.19 Interfaces and Standardization -- 2.20 Hardware Implementation of Computer Algebra Algorithms -- 3 Applications of Computer
Algebra -- 3.1 Physics -- 3.2 Mathematics -- 3.3 Computer Science -- 3.4 Engineering -- 3.5 Chemistry -- 3.6 Computer Algebra in Education -- 4 Computer Algebra Systems -- 4.1 General Purpose Systems -- 4.2 Special Purpose Systems --
4.3 Packages -- 5 Meetings and Publications -- 5.1 Conferences and Proceedings -- 5.2 Books on Computer Algebra -- Cited References -- Index for Authors’ Contributions
ISBN:9783642558269
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Computer science , Algebra , Algorithms , Computer software , Mathematics , Mathematical Software , Algebra , Algorithms , Symbolic and Algebraic Manipulation
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Call number:SPRINGER-2003-9783034880817:ONLINE Show nearby items on shelf
Title:Matrix Riccati Equations in Control and Systems Theory
Author(s): Hisham Abou-Kandil
Date:2003
Size:1 online resource (572 p.)
Note:10.1007/978-3-0348-8081-7
Contents:1 Basic results for linear equations -- 1.1 Linear differential equations and linear algebraic equations -- 1.2 Exponential dichotomy and L2evolutions -- 2 Hamiltonian Matrices and Algebraic Riccati equations -- 2.1 Solutions of
algebraic Riccati equations and graph subspaces -- 2.2 Indefinite scalar products and a canonical form of Hamiltonian matrices -- 2.3 Hermitian algebraic Riccati equations -- 2.4 Positive semi-definite solutions of standard algebraic
Riccati equations -- 2.5 Hermitian discrete-time algebraic Riccati equations -- 3 Global aspects of Riccati differential and difference equations -- 3.1 Riccati differential equations and associated linear systems -- 3.2 A
representation formula -- 3.3 Flows on Graßmann manifolds: The extended Riccati differential equation -- 3.4 General representation formulae for solutions of RDE and PRDE, the time-continuous and periodic Riccati differential equation,
and dichotomy -- 3.5 A representation formula for solutions of the discrete time Riccati equation -- 3.6 Global existence results -- 4 Hermitian Riccati differential equations -- 4.1 Comparison results for HRDE -- 4.2 Monotonicity and
convexity results: A Fréchet derivative based approach -- 4.3 Convergence to the semi-stabilizing solution -- 4.4 Dependence of HRDE on a parameter -- 4.5 An existence theorem for general HRDE -- 4.6 A special property of HRDE -- 5 The
periodic Riccati equation -- 5.1 Linear periodic differential equations -- 5.2 Preliminary notation and results for linear periodic systems -- 5.3 Existence results for periodic Hermitian Riccati equations -- 5.4 Positive semi-definite
periodic equilibria of PRDE -- 6 Coupled and generalized Riccati equations -- 6.1 Some basic concepts in dynamic games -- 6.2 Non-symmetric Riccati equations in open loop Nash differential games -- 6.3 Discrete-time open loop Nash
Riccati equations -- 6.4 Non-symmetric Riccati equations in open loop Stackelberg differential games -- 6.5 Discrete-time open loop Stackelberg equations -- 6.6 Coupled Riccati equations in closed loop Nash differential games -- 6.7
Rational matrix differential equations arising in stochastic control -- 6.8 Rational matrix difference equations arising in stochastic control -- 6.9 Coupled Riccati equations in Markovian jump systems -- 7 Symmetric differential
Riccati equations: an operator based approach -- 7.1 Popov triplets: definition and equivalence -- 7.2 Associated objects -- 7.3 Associated operators -- 7.4 Existence of the stabilizing solution -- 7.5 Positivity theory and
applications -- 7.6 Differential Riccati inequalities -- 7.7 The signature condition -- 7.8 Differential Riccati theory: A Hamiltonian descriptor operator approach -- 8 Applications to Robust Control Systems -- 8.1 The Four Block
Nehari Problem -- 8.2 Disturbance Attenuation -- 9 Non-symmetric Riccati theory and applications -- 9.1 Non-symmetric Riccati theory -- 9.2 Application to open loop Nash games -- 9.3 Application to open loop Stackelberg games -- A
Appendix -- A.1 Basic facts from control theory -- A.2 The implicit function theorem -- References -- List of Figures
ISBN:9783034880817
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Science , Operator theory , Differential equations , Game theory , System theory , Education , Mathematics , Systems Theory, Control , Science, general , Popular Science in Education , Operator Theory , Ordinary Differential Equations , Game Theory, Economics, Social and Behav. Sciences
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Call number:SPRINGER-2003-9783034880169:ONLINE Show nearby items on shelf
Title:The Problem of Integrable Discretization: Hamiltonian Approach
Author(s): Yuri B Suris
Date:2003
Size:1 online resource (1070 p.)
Note:10.1007/978-3-0348-8016-9
Contents:I General Theory -- 1 Hamiltonian Mechanics -- 2 R-matrix Hierarchies -- II Lattice Systems -- 3 Toda Lattice -- 4 Volterra Lattice -- 5 Newtonian Equations of the Toda Type -- 6 Relativistic Toda Lattice -- 7 Relativistic Volterra
Lattice -- 8 Newtonian Equations of the Relativistic Toda Type -- 9 Explicit Discretizations for Toda Systems -- 10 Explicit Discretizations of Newtonian Toda Systems -- 11 Bruschi-Ragnisco Lattice -- 12 Multi-field Toda-like Systems
-- 13 Multi-field Relativistic Toda Systems -- 14 Belov-Chaltikian Lattices -- 15 Multi-field Volterra-like Systems -- 16 Multi-field Relativistic Volterra Systems -- 17 Bogoyavlensky Lattices -- 18 Ablowitz-Ladik Hierarchy -- III
Systems of Classical Mechanics -- 19 Peakons System -- 20 Standard-like Discretizations -- 21 Lie-algebraic Toda Systems -- 22 Gamier System -- 23 Hénon-Heiles System -- 24 Neumann System -- 25 Lie-algebraic Generalizations of the
Gamier Systems -- List of Notations
ISBN:9783034880169
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Mathematics : 219
Keywords: Mathematics , Algebra , Ordered algebraic structures , Dynamics , Ergodic theory , Computer mathematics , Physics , Solid state physics , Mathematics , Order, Lattices, Ordered Algebraic Structures , Dynamical Systems and Ergodic Theory , Computational Mathematics and Numerical Analysis , Theoretical, Mathematical and Computational Physics , Numerical and Computational Physics , Solid State Physics
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Call number:SPRINGER-2003-9783034880039:ONLINE Show nearby items on shelf
Title:Factorization and Integrable Systems Summer School in Faro, Portugal, September 2000
Author(s):
Date:2003
Size:1 online resource (220 p.)
Note:10.1007/978-3-0348-8003-9
Contents:An Overview of Matrix Factorization Theory and Operator Applications -- 0 Introduction -- 1 General theorems -- 2 Factorization in decomposing Banach algebras -- 3 Generalized Lp factorization -- 4 State space method -- References --
Matrix Riemann-Hilbert Problems Related to Branched Coverings of ??1 -- 1 Introduction -- 2 Riemann-Hilbert problem with quasi-permutation monodromies and algebraic curves -- 3 Riemann surfaces. Rauch variational formulas -- 4 Solution
of Riemann-Hilbert problems with quasi-permutation monodromies and Szegö kernel -- 5 Isomonodromic tau-function and Cauchy-Riemann determinants -- Acknowledgements -- References -- Quantum Groups and Integrable Models -- 1 Introduction
-- 2 Algebraic Bethe Ansatz and QISM -- 3 Yang-Baxter equation -- 4 Thermodynamic limits -- 5 Conclusion -- Acknowledgements -- References -- Integrable Systems and Factorization Problems -- 1 Introduction -- 2 A few preliminaries:
Poisson brackets, coadjoint orbits, etc. -- 3 Classical r-matrices and Lax equations -- 4 Classical Yang-Baxter identity -- 5 A finite-dimensional example -- 6 Loop algebras and the Riemann problem -- 7 More examples -- 8 Zero
curvature equations -- 9 Difference equations and Poisson-Lie groups -- Acknowledgements -- References -- Programme of the Summer School on Factorization and Integrable Systems
ISBN:9783034880039
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Operator Theory: Advances and Applications : 141
Keywords: Mathematics , Operator theory , Partial differential equations , Physics , Mathematics , Operator Theory , Partial Differential Equations , Mathematical Methods in Physics
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Call number:SPRINGER-2003-9781461220664:ONLINE Show nearby items on shelf
Title:Coxeter Matroids
Author(s): Alexandre V Borovik
Date:2003
Size:1 online resource (266 p.)
Note:10.1007/978-1-4612-2066-4
Contents:1 Matroids and Flag Matroids -- 1.1 Matroids -- 1.2 Representable matroids -- 1.3 Maximality Property -- 1.4 Increasing Exchange Property -- 1.5 Sufficient systems of exchanges -- 1.6 Matroids as maps -- 1.7 Flag matroids -- 1.8 Flag
matroids as maps -- 1.9 Exchange properties for flag matroids -- 1.10 Root system -- 1.11 Polytopes associated with flag matroids -- 1.12 Properties of matroid polytopes -- 1.13 Minkowski sums -- 1.14 Exercises for Chapter 1 -- 2
Matroids and Semimodular Lattices -- 2.1 Lattices as generalizations of projective geometry -- 2.2 Semimodular lattices -- 2.3 Jordan—Hölder permutation -- 2.4 Geometric lattices -- 2.5 Representations of matroids -- 2.6 Representation
of flag matroids -- 2.7 Every flag matroid is representable -- 2.8 Exercises for Chapter 2 -- 3 Symplectic Matroids -- 3.1 Definition of symplectic matroids -- 3.2 Root systems of type Cn -- 3.3 Polytopes associated with symplectic
matroids -- 3.4 Representable symplectic matroids -- 3.5 Homogeneous symplectic matroids -- 3.6 Symplectic flag matroids -- 3.7 Greedy Algorithm -- 3.8 Independent sets -- 3.9 Symplectic matroid constructions -- 3.10 Orthogonal
matroids -- 3.11 Open problems -- 3.12 Exercises for Chapter 3 -- 4 Lagrangian Matroids -- 4.1 Lagrangian matroids -- 4.2 Circuits and strong exchange -- 4.3 Maps on orientable surfaces -- 4.4 Exercises for Chapter 4 -- 5 Reflection
Groups and Coxeter Groups -- 5.1 Hyperplane arrangements -- 5.2 Polyhedra and polytopes -- 5.3 Mirrors and reflections -- 5.4 Root systems -- 5.5 Isotropy groups -- 5.6 Parabolic subgroups -- 5.7 Coxeter complex -- 5.8 Labeling of the
Coxeter complex -- 5.9 Galleries -- 5.10 Generators and relations -- 5.11 Convexity -- 5.12 Residues -- 5.13 Foldings -- 5.14 Bruhat order -- 5.15 Splitting the Bruhat order -- 5.16 Generalized permutahedra -- 5.17 Symmetric group as a
Coxeter group -- 5.18 Exercises for Chapter 5 -- 6 Coxeter Matroids -- 6.1 Coxeter matroids -- 6.2 Root systems -- 6.3 The Gelfand—Serganova Theorem -- 6.4 Coxeter matroids and polytopes -- 6.5 Examples -- 6.6 W-matroids -- 6.7
Characterization of matroid maps -- 6.8 Adjacency in matroid polytopes -- 6.9 Combinatorial adjacency -- 6.10 The matroid polytope -- 6.11 Exchange groups of Coxeter matroids -- 6.12 Flag matroids and concordance -- 6.13 Combinatorial
flag variety -- 6.14 Shellable simplicial complexes -- 6.15 Shellability of the combinatorial flag variety -- 6.16 Open problems -- 6.17 Exercises for Chapter 6 -- 7 Buildings -- 7.1 Gaussian decomposition -- 7.2 BN-pairs -- 7.3
Deletion Property -- 7.4 Deletion property and Coxeter groups -- 7.5 Reflection representation of W -- 7.6 Classification of finite Coxeter groups -- 7.7 Chamber systems -- 7.8 W-metric -- 7.9 Buildings -- 7.10 Representing Coxeter
matroids in buildings -- 7.11 Vector-space representations and building representations -- 7.12 Residues in buildings -- 7.13 Buildings of type An-1 = Symn -- 7.14 Combinatorial flag varieties, revisited -- 7.15 Open Problems -- 7.16
Exercises for Chapter 7 -- References
ISBN:9781461220664
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Mathematics : 216
Keywords: Mathematics , Algebra , Algebraic geometry , Combinatorics , Mathematics , Algebraic Geometry , Mathematics, general , Algebra , Combinatorics
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Call number:SPRINGER-2002-9783642562020:ONLINE Show nearby items on shelf
Title:Complex Geometry Collection of Papers Dedicated to Hans Grauert
Author(s):
Date:2002
Size:1 online resource (340 p.)
Note:10.1007/978-3-642-56202-0
Contents:Even Sets of Eight Rational Curves on a K3-surface -- 0 Introduction -- 1 Double Sextics with Eight Nodes -- 2 Double Sextics with Eight Tritangents -- 3 Quartic Surfaces with Eight Nodes -- 4 Quartic Surfaces with Eight Lines -- 5
Double Quadrics with Eight Nodes -- 6 Double Quadrics with Eight Double Tangents -- 7 Comments -- References -- A Reduction Map for Nef Line Bundles -- 1 Introduction -- 2 A Reduction Map for Nef Line Bundles -- 3 A Counterexample --
References -- Canonical Rings of Surfaces Whose Canonical System has Base Points -- 0 Introduction -- 1 Canonical Systems with Base Points -- 2 The Canonical Ring of Surfaces with K2 = 7, pg = 4 Birational to a Sextic: From Algebra to
Geometry -- 3 The Canonical Ring of Surfaces with K2 = 7, pg = 4 Birational to a Sextic: Explicit Computations -- 4 An Explicit Family -- References -- Appendix 1 -- Appendix 2 -- Attractors -- 1 Introduction -- 2 Endomorphisms -- 3
Hyperbolic Diffeomorphisms -- 4 Holomorphic Endomorphisms of ?k -- References -- A Bound on the Irregularity of Abelian Scrolls in Projective Space -- 0 Introduction -- 1 Non-Existence of Scrolls -- 2 Existence of Scrolls -- References
-- On the Frobenius Integrability of Certain Holomorphic p-Forms -- 1 Main Results -- 2 Proof of the Main Theorem -- References -- Analytic Moduli Spaces of Simple (Co)Framed Sheaves -- 1 Introduction -- 2 Preparations -- 3 Simple
F-Coframed Sheaves -- 4 Proof of Theorem 1.1 -- References -- Cycle Spaces of Real Forms of SLn(?) -- 1 Background -- 2 Schubert Slices -- 3 Cycle Spaces of Open Orbits of SLn(?) and SLn(?) -- References -- On a Relative Version of
Fujita’s Freeness Conjecture -- 1 Introduction -- 2 Review on the Hodge Bundles -- 3 Parabolic Structure in Several Variables -- 4 Base Change and a Relative Vanishing Theorem -- 5 Proof of Theorem 1.7 -- References -- Characterizing
the Projective Space after Cho, Miyaoka and Shepherd-Barron -- 1 Introduction -- 2 Setup -- 3 Proof of the Characterization Theorem -- References -- Manifolds With Nef Rank 1 Subsheaves in $$ \Omega_X^1 $$ -- 1 Introduction -- 2
Generalities -- 3 The Case Where ?(X) = 1 -- 4 The Case Where ?(X) = 0 -- References -- The Simple Group of Order 168 and K3 Surfaces -- 0 Introduction -- 1 The Niemeier Lattices -- 2 Proof of the Main Theorem -- References -- A
Precise L2 Division Theorem -- 0 Introduction -- 1 L2 Extension Theorem on Complex Manifolds -- 2 Extension and Division -- 3 Proof of Theorem -- References -- Irreducible Degenerations of Primary Kodaira Surfaces -- 0 Introduction --
1 Smooth Kodaira Surfaces -- 2 D-semistable Surfaces with Trivial Canonical Class -- 3 Hopf Surfaces -- 4 Ruled Surfaces over Elliptic Curves -- 5 Rational Surfaces and Honeycomb Degenerations -- 6 The Completed Moduli Space and its
Boundary -- References -- Extension of Twisted Pluricanonical Sections with Plurisubharmonic Weight and Invariance of Semipositively Twisted Plurigenera for Manifolds Not Necessarily of General Type -- 0 Introduction -- 1 Review of
Existing Argument for Invariance of Plurigenera -- 2 Global Generation of Multiplier Ideal Sheaves with Estimates -- 3 Extension Theorems of Ohsawa-Takegoshi Type from Usual Basic Estimates with Two Weight Functions -- 4 Induction
Argument with Estimates -- 5 Effective Version of the Process of Taking Powers and Roots of Sections -- 6 Remarks on the Approach of Generalized Bergman Kernels -- References -- Base Spaces of Non-Isotrivial Families of Smooth Minimal
Models -- 1 Differential Forms on Moduli Stacks -- 2 Mild Morphisms -- 3 Positivity and Ampleness -- 4 Higgs Bundles and the Proof of 1.4 -- 5 Base Spaces of Families of Smooth Minimal Models -- 6 Subschemes of Moduli Stacks of
Canonically Polarized Manifolds -- 7 A Vanishing Theorem for Sections of Symmetric Powers of Logarithmic One Forms -- References -- Uniform Vector Bundles on Fano Manifolds and an Algebraic Proof of Hwang-Mok Characterization of
Grassmannians -- 0 Introduction -- 1 M-Uniform Manifolds -- 2 Atiyah Extension and Twisted Trivial Bundles -- 3 Characterization of Grassmann Manifolds -- 4 Characterization of Isotropic Grassmann Manifolds -- References
ISBN:9783642562020
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebraic geometry , Functions of complex variables , Geometry , Mathematics , Algebraic Geometry , Geometry , Several Complex Variables and Analytic Spaces
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Call number:SPRINGER-2002-9781461200918:ONLINE Show nearby items on shelf
Title:Energy Methods for Free Boundary Problems Applications to Nonlinear PDEs and Fluid Mechanics
Author(s): S. N Antontsev
Date:2002
Size:1 online resource (332 p.)
Note:10.1007/978-1-4612-0091-8
Contents:1 Localized Solutions of Nonlinear Stationary Problems -- 1 Introduction -- 2 Second-order elliptic equations -- 3 The weighted diffusion/absorption balance -- 4 Anisotropic equations: Diffusion/absorption balance -- 5 Systems of
second-order elliptic equations -- 6 Higher-order elliptic equations -- 7 Bibliographical notes and open problems -- 2 Stabilization in a Finite Time to a Stationary State -- 1 Introduction -- 2. Second-order parabolic equations -- 3
The weighted diffusion-absorption balance -- 4 The Cauchy problem -- 5 Equations with nonpower and isotropic nonlinearities -- 6 Systems of equations of combined type -- 7 Higher-order parabolic equations and other applications -- 8
Bibliographical notes and open problems -- 3 Space and Time Localization in Nonlinear Evolution Problems -- 1 Introduction -- 2 General second-order equations -- 3 The waiting time property -- 4 Shrinking of supports and formation of a
dead core -- 5 Equations with nonhomogeneous absorption terms -- 6 Equations with anisotropic nonlinearities -- 7 Systems of parabolic equations -- 8 Higher-order parabolic equations -- 9 Bibliographical notes -- 4 Applications to
Problems in Fluid Mechanics -- 1 Introduction -- 2 The balance laws of fluid mechanics -- 3 Stationary problems of gas dynamics with free boundaries -- 4 Two-phase filtration of immiscible incompressible fluids -- 5 Flows of gas with
density-dependent viscosity -- 6 Viscous-elastic media -- 7 Flows of nonhomogeneous non-Newtonian fluid -- 8 Boundary layers in dilatant fluid -- 9 Boussinesq system involving nonlinear thermal diffusion -- 10 Simultaneous motion in
the surface channel and the underground water -- 11 Solute transport through a porous medium with micro and macro structures -- 12 A quasilinear degenerate system arising in semiconductor theory -- 13 Blowup in solutions of the
thermistor problem -- The function spaces -- Elementary inequalities -- 2.1 Algebraic inequalities -- 2.2 Integral inequalities -- 3 Embedding theorems -- 3.1 Interpolation inequalities -- 3.2 Anisotropic function spaces -- References
ISBN:9781461200918
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Nonlinear Differential Equations and Their Applications : 48
Keywords: Engineering , Functional analysis , Partial differential equations , Applied mathematics , Engineering mathematics , Mechanics , Fluid mechanics , Engineering , Engineering Fluid Dynamics , Partial Differential Equations , Functional Analysis , Applications of Mathematics , Mechanics
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Call number:SPRINGER-2001-9783642568848:ONLINE Show nearby items on shelf
Title:Complex Semisimple Lie Algebras
Author(s): Jean-Pierre Serre
Date:2001
Size:1 online resource (74 p.)
Note:10.1007/978-3-642-56884-8
Contents:I Nilpotent Lie Algebras and Solvable Lie Algebras -- 1. Lower Central Series -- 2. Definition of Nilpotent Lie Algebras -- 3. An Example of a Nilpotent Algebra -- 4. Engel’s Theorems -- 5. Derived Series -- 6. Definition of Solvable
Lie Algebras -- 7. Lie’s Theorem -- 8. Cartan’s Criterion -- II Semisimple Lie Algebras (General Theorems) -- 1. Radical and Semisimpiicity -- 2. The Cartan-Killing Criterion -- 3. Decomposition of Semisimple Lie Algebras -- 4.
Derivations of Semisimple Lie Algebras -- 5. Semisimple Elements and Nilpotent Elements -- 6. Complete Reducibility Theorem -- 7. Complex Simple Lie Algebras -- 8. The Passage from Real to Complex -- III Cartan Subalgebras -- 1.
Definition of Cartan Subalgebras -- 2. Regular Elements: Rank -- 3. The Cartan Subalgebra Associated with a Regular Element -- 4. Conjugacy of Cartan Subalgebras -- 5. The Semisimple Case -- 6. Real Lie Algebras -- IV The Algebra SI2
and Its Representations -- 1. The Lie Algebra sl2 -- 2. Modules, Weights, Primitive Elements -- 3. Structure of the Submodule Generated by a Primitive Element -- 4. The Modules Wm -- 5. Structure of the Finite-Dimensional g-Modules --
6. Topological Properties of the Group SL2 -- V Root Systems -- 1. Symmetries -- 2. Definition of Root Systems -- 3. First Examples -- 4. The Weyl Group -- 5. Invariant Quadratic Forms -- 6. Inverse Systems -- 7. Relative Position of
Two Roots -- 8. Bases -- 9. Some Properties of Bases -- 10. Relations with the Weyl Group -- 11. The Cartan Matrix -- 12. The Coxeter Graph -- 13. Irreducible Root Systems -- 14. Classification of Connected Coxeter Graphs -- 15. Dynkin
Diagrams -- 16. Construction of Irreducible Root Systems -- 17. Complex Root Systems -- VI Structure of Semisimple Lie Algebras -- 1. Decomposition of g -- 2. Proof of Theorem 2 -- 3. Borei Subalgebras -- 4. Weyl Bases -- 5. Existence
and Uniqueness Theorems -- 6. Chevalley’s Normalization -- Appendix. Construction of Semisimple Lie Algebras by Generators and Relations -- VII Linear Representations of Semisimple Lie Algebras -- 1. Weights -- 2. Primitive Elements --
3. Irreducible Modules with a Highest Weight -- 4. Finite-Dimensional Modules -- 5. An Application to the Weyl Group -- 6. Example: sl n+1 -- 7. Characters -- 8. H. Weyl’s formula -- VIII Complex Groups and Compact Groups -- 1. Cartan
Subgroups -- 2. Characters -- 3. Relations with Representations -- 4. Berel Subgroups -- 5. Construction of Irreducible Representations from Boret Subgroups -- 6. Relations with Algebraic Groups -- 7. Relations with Compact Groups
ISBN:9783642568848
Series:eBooks
Series:SpringerLink (Online service)
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Keywords: Mathematics , Topological groups , Lie groups , Mathematics , Topological Groups, Lie Groups
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Call number:SPRINGER-2001-9783540445760:ONLINE Show nearby items on shelf
Title:Integrable Systems in the realm of Algebraic Geometry
Author(s): Pol Vanhaecke
Date:2001
Edition:Second Edition
Size:1 online resource (264 p.)
Note:10.1007/3-540-44576-5
Contents:Introduction -- Integrable Hamiltonian systems on affine Poisson varietie: Affine Poisson varieties and their morphisms Integrable Hamiltonian systems and their morphisms Integrable Hamiltonian systems on other spaces -- Integrable
Hamiltonian systems and symmetric products of curves: The systems and their integrability The geometry of the level manifolds -- Interludium: the geometry of Abelian varieties: Divisors and line bundles Abelian varieties Jacobi
varieties Abelian surfaces of type (1,4) -- Algebraic completely integrable Hamiltonian systems: A.c.i. systems Painlev analysis for a.c.i. systems The linearization of two-dimensional a.c.i. systems Lax equations -- The Mumford
systems: Genesis Multi-Hamiltonian structure and symmetries The odd and the even Mumford systems The general case -- Two-dimensional a.c.i. systems and applications: The genus two Mumford systems Application: generalized Kummersurfaces
The Garnier potential An integrable geodesic flow on SO(4)..
ISBN:9783540445760
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1638
Keywords: Mathematics , Algebraic geometry , Dynamics , Ergodic theory , Global analysis (Mathematics) , Manifolds (Mathematics) , Physics , Mathematics , Dynamical Systems and Ergodic Theory , Global Analysis and Analysis on Manifolds , Algebraic Geometry , Theoretical, Mathematical and Computational Physics
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Call number:SPRINGER-2001-9783034882682:ONLINE Show nearby items on shelf
Title:European Congress of Mathematics Barcelona, July 10–14, 2000, Volume I
Author(s):
Date:2001
Size:1 online resource (582 p.)
Note:10.1007/978-3-0348-8268-2
Contents:Table of Contents of Volume I -- Articles by Plenary Speakers -- The Mathematics of M-Theory -- Probabilistic Aspects of Financial Risk -- Flags and Lattice Basis Reduction -- Moduli, Motives, Mirrors -- The Role of Oscillations in
Some Nonlinear Problems -- New Families of Solutions in N-Body Problems -- Irreducible Modular Representations of a Reductive p-Adic Group and Simple Modules for Hecke Algebras -- Dequantization of Real Algebraic Geometry on
Logarithmic Paper -- Articles by Parallel Speakers -- Advances on Extremal Problems in Number Theory and Combinatorics -- Spectral Analysis of Nonrelativistic Quantum Electrodynamics -- Spectrum and Statistical Properties of Chaotic
Dynamics -- Sampling in Complex and Harmonic Analysis -- Lower Bounds for Shape Resonance Widths of Schrödinger Operators -- A Conjecture of De Giorgi on Symmetry for Elliptic Equations in ?n -- The Random Graph Revisited -- Difference
Fields: Model Theory and Applications to Number Theory -- Geometric Aspects of Polynomial Interpolation in More Variables and of Waring’s Problem -- The Calibration Method for Free Discontinuity Problems -- Geometry on Arc Spaces of
Algebraic Varieties -- Stacks for Everybody -- Multiple ?-Values, Galois Groups, and Geometry of Modular Varieties -- Heat Kernels on Manifolds, Graphs and Fractals -- Local Langlands Correspondences and Vanishing Cycles on Shimura
Varieties -- Burgers Turbulence and Dynamical Systems -- Random Growth and Random Matrices -- Sobolev Spaces and Quasiconformal Mappings on Metric Spaces -- Understanding Skyrmions Using Rational Maps -- Models for the Leaf Space of a
Foliation -- Multivariable Hypergeometric Functions -- Contact Structures, Rational Curves and Mori Theory -- Analytic Topology -- Towards Ryser’s Conjecture -- The Dynamics of Algebraic ? d-Actions -- Self-Interacting Random Motions
-- Harmonic Analysis on Reductive Symmetric Spaces
ISBN:9783034882682
Series:eBooks
Series:SpringerLink (Online service)
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Series:Progress in Mathematics : 201
Keywords: Mathematics , Mathematics , Mathematics, general
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Call number:SPRINGER-2001-9783034882668:ONLINE Show nearby items on shelf
Title:European Congress of Mathematics Barcelona, July 10–14, 2000 Volume II
Author(s):
Date:2001
Size:1 online resource (641 p.)
Note:10.1007/978-3-0348-8266-8
Contents:Table of Contents of Volume II -- Articles by Prize Winners -- Classification Results on Valuations on Convex Sets -- Towards a Microscopic Theory of Phase Coexistence -- Constructing Compact 8-Manifolds with Holonomy Spin(7) from
Calabi-Yau Orbifolds -- Banach KK-Theory and the Baum-Connes Conjecture -- An Introduction to Non-Commutative Mori Theory -- Geometric Methods in Complex Analysis -- Vanishing Cycles and Mutation -- Critical Exponents, Conformal
Invariance and Planar Brownian Motion -- Mini-Symposium on Computer Algebra -- Computer Algebra Algorithms for Linear Ordinary Differential and Difference Equations -- Some Introductory Remarks on Computer Algebra -- A Study of
Iteration Formulas for Root Finding, Where Mathematics, Computer Algebra and Software Engineering Meet -- Industrial Applications of Computer Algebra: Climbing Up a Mountain, Going Down a Hill -- Applications of Computer Algebra to
Algebraic Geometry, Singularity Theory and Symbolic-Numerical Solving -- Mini-Symposium on Curves over Finite Fields and Codes -- Explicit Towers of Drinfeld Modular Curves -- Curves over Finite Fields Attaining the Hasse-Weil Upper
Bound -- Asymptotically Good Towers of Global Fields -- Explicit Constructions of Towers of Function Fields with Many Rational Places -- Curves over Finite Fields and Codes -- Authentication Codes and Algebraic Curves -- Mini-Symposium
on Free Boundary Problems -- Some Aspects of Mean Curvature Flow in Presence of Nonsmooth Anisotropies -- A Phase-Field Model for Diffusion-Induced Grain Boundary Motion -- Evolution of a Closed Interface between Two Liquids of
Different Types -- Applications of a Local Energy Method to Systems of PDE’s Involving Free Boundaries -- Phase Boundaries in Alloys with Elastic Misfit -- Some Aspects of the Thin Film Equation -- A Brief Overview on the Obstacle
Problem -- The Impact of Monotonicity Formulas in Regularity of Free Boundaries -- A Free Boundary Problem: Contributions from Modern Analysis -- Mini-Symposium on Mathematical Finance- Theory and Practice -- Risk Sensitive Control
with Applications to Fixed Income Portfolio Management -- Wavelet Based PDE Valuation of Derivatives -- Some Analytic Facts on the Generalized Hyperbolic Model -- Functionals of Brownian Motion in Path-Dependent Option Valuation --
Optimal Portfolios under a Value at Risk Constraint -- Mini-Symposium on Quantum Chaology -- Trace Formulas and Spectral Statistics of Diffractive Systems -- Semiclassical Results in the Linear Response Theory -- The Berry- Tabor
Conjecture -- On Quantum Unique Ergodicity for Linear Maps of the Torus -- Mini-Symposium on Quantum Computing -- Bound Information: The Classical Analog to Bound Quantum Entanglement -- Mini-Symposium on String Theory and M-Theory --
D-Branes on Calabi-Yau Manifolds -- Knot Invariants and Chern-Simons Theory -- Topological Quantum Field Theory and Four-Manifolds -- D-Brane Conformal Field Theory and Bundles of Conformal Blocks -- From Quiver Diagrams to Particle
Physics -- Mini-Symposium on Symplectic and Contact Geometry and Hamiltonian Dynamics -- From Symplectic Packing to Algebraic Geometry and Back -- New Invariants of Legendrian Knots -- Contact Topology in Dimension Greater than Three
-- The Hamiltonian Seifert Conjecture: Examples and Open Problems -- The Fine Geometry of the Cantor Families of Invariant Tori in Hamiltonian Systems -- Symplectic and Contact Geometry and Hamiltonian Dynamics -- Simple Coisotropic
Projections and Caustics -- Mini-Symposium on Wavelet Applications in Signal Processing -- Reassigned Scalograms and Singularities -- The Impact of Wavelet Coefficient Correlations on Fractionally Differenced Process Estimation --
Wavelet-Based Modelling of Persistent Periodicities -- Network Traffic Modeling Using a Multifractal Wavelet Model -- Denoising Via Block Wiener Filtering in Wavelet Domain -- Wavelet Analysis of Discrete Time Series
ISBN:9783034882668
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Mathematics : 202
Keywords: Mathematics , Mathematics , Mathematics, general
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Call number:SPRINGER-2001-9781461505877:ONLINE Show nearby items on shelf
Title:Probabilistic Analysis of Belief Functions
Author(s): Ivan Kramosil
Date:2001
Size:1 online resource (214 p.)
Note:10.1007/978-1-4615-0587-7
Contents:1 Introduction -- 1.1 Uncertainty in the World Around -- 1.2 Classical Probability Theory - Uncertainty as Randomness -- 1.3 Dempster-Shafer Approach to Uncertainty Processing -- 1.4 Relations to the Theory of General Systems -- 2
Preliminaries on Axiomatic Probability Theory -- 2.1 Probability Spaces and Random Variables -- 2.2 Some Intuition and Motivation Behind -- 2.3 Conditional Probabilities and Stochastic Independence -- 2.4 The Most Simple Setting of the
Strong Law of Large Numbers -- 3 Probabilistic Model of Decision Making under Uncertainty -- 3.1 An Intuitive Background to Decision Making Theory -- 3.2 Decision Making under Uncertainty -- 3.3 Statistical Decision Functions -- 3.4
The Bayesian and the Minimax Principles -- 3.5 An Example and Some Problems Involved -- 4 Basic Elements of Dempster-Shafer Theory -- 4.1 From Intuition to Compatibility Relations -- 4.2 From Compatibility Relations to Belief Functions
-- 4.3 Some Remarks and Comments -- 4.4 Semantical Consistence and Correctness of Belief Functions -- 5 Elementary Properties of Belief Functions -- 5.1 Plausibility Functions -- 5.2 Basic Probability Assignments and Belief Functions
-- 5.3 Super-Additivity of Belief Functions -- 5.4 Some Particular Cases of Belief Functions -- 5.5 Belief Functions and the Case of Total Ignorance -- 6 Probabilistic Analysis of Dempster Combination Rule -- 6.1 Knowledge Acquisition
as Dynamical Process -- 6.2 Combining Compatibility Relations -- 6.3 Towards Dempster Combination Rule -- 6.4 Elementary Properties of Dempster Combination Rule -- 6.5 Dual Combination Rule -- 7 Nonspecificity Degrees of Basic
Probability Assignments -- 7.1 The Most Simple Case of Nonspecificity Degrees -- 7.2 Nonspecificity Degrees of Dempster Products -- 7.3 Quasi-Deconditioning -- 7.4 The Case of Dual Combination Rule -- 8 Belief Functions Induced by
Partial Compatibility Relations -- 8.1 Compatibility Relations over Sets of States and Sets of Empirical Values -- 8.2 Partial Generalized Compatibility Relations -- 8.3 Belief Functions Defined by Partial Generalized Compatibility
Relations -- 8.4 Partial Generalized Compatibility Relations with the Same Compatibility Relation -- 8.5 Approximations of Belief Functions by the Partial Generalized Ones -- 9 Belief Functions over Infinite State Spaces -- 9.1 Towards
Infinite Basic Spaces -- 9.2 Definability of Degrees of Belief for Subsets of Infinite Spaces -- 9.3 Extensions of Degrees of Belief to Non-Regular Subsets -- 9.4 Elementary Properties of Extended Belief Functions -- 9.5 Bounds of
Application of Extended Belief Functions -- 9.6 Survey of Approximations of Degrees of Belief over Infinite Spaces -- 10 Boolean Combinations of Set-Valued Random Variables -- 10.1 Combining Set-Valued Random Variables -- 10.2 Belief
Functions Defined by Unions of Set-Valued Random Variables -- 10.3 Belief Functions Defined by Intersections of Set-Valued Random Variables -- 11 Belief Functions with Signed and Nonstandard Values -- 11.1 The Inversion Problem for
Degrees of Belief and Belief Functions -- 11.2 Signed Measures -- 11.3 Degrees of Belief Are Leaving the Unit Interval of Reals -- 11.4 Dempster Combination Rule for Basic Signed Measure Assignments -- 11.5 Inversion Rule for Basic
Signed Measure Assignments -- 11.6 Almost Invertibility of Basic Signed Measure Assignments -- 11.7 Degrees of Belief with Nonstandard Values -- 11.8 An Abstract Algebraic Approach to the Inversion Problem -- 12 Jordan Decomposition of
Signed Belief Functions -- 12.1 Hahn Decomposition Theorem for Signed Measures -- 12.2 Jordan Decomposition of Signed Belief Functions -- 12.3 Generalizing Conditioned Belief Functions -- 13 Monte-Carlo Estimations for Belief Functions
-- 13.1 Strong Law of Large Numbers Applied to Belief Functions -- 13.2 Towards Monte-Carlo Algorithms for Belief Functions -- 13.3 Asymptotic Properties of Monte-Carlo Estimations of Belief Functions -- 13.4 Chebyshev Inequality for
Monte-Carlo Estimations of Belief Functions -- 14 Boolean-Valued and Boolean-Like Processed Belief Functions -- 14.1 Intuition, Motivation and Preliminaries on Boolean Algebras -- 14.2 Boolean-Valued Probability Measures -- 14.3
Boolean-Valued Belief and Plausibility Functions -- 14.4 Boolean-Like Structure over The Unit Interval of Real Numbers -- 14.5 Probability Measures with Values in Boolean-Like Structured Unit Interval of Real Numbers -- 14.6 Basic
Nonstandard Probability Assignments -- 15 References -- 16 Index
ISBN:9781461505877
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:International Federation for Systems Research International Series on Systems Science and Engineering: 16
Keywords: Mathematics , Artificial intelligence , System theory , Probabilities , Mathematics , Probability Theory and Stochastic Processes , Systems Theory, Control , Artificial Intelligence (incl. Robotics)
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Call number:SPRINGER-2001-9781461301653:ONLINE Show nearby items on shelf
Title:Codes, Systems, and Graphical Models
Author(s):
Date:2001
Size:1 online resource (513 p.)
Note:10.1007/978-1-4613-0165-3
Contents:1. Overviews -- An introduction to the analysis of iterative coding systems -- Connections between linear systems and convolutional codes -- Multi-dimensional symbolic dynamical systems -- 2. Codes on Graphs -- Linear-congruence
constructions of low-density parity-check codes -- On the effective weights of pseudocodewords for codes defined on graphs with cycles -- Evaluation of Gallager codes for short block length and high rate applications -- Two small
Gallager codes -- Mildly non-linear codes -- Capacity-achieving sequences -- Hypertrellis: A generalization of trellis and factor graph -- 3: Decoding Techniques -- BSC thresholds for code ensembles based on “typical pairs” decoding --
Properties of the tailbiting BCJR decoder -- Iterative decoding of tail-biting trellises and connections with symbolic dynamics -- Algorithms for decoding and interpolation -- An algebraic description of iterative decoding schemes --
Recursive construction of Gröbner bases for the solution of polynomial congruences -- On iterative decoding of cycle codes of graphs -- 4. Convolutional Codes and Codes Over Rings -- Convolutional codes over finite Abelian groups: Some
basic results -- Symbolic dynamics and convolutional codes -- Linear codes and their duals over artinian rings -- Unit memory convolutional codes with maximum distance -- Basic properties of multidimensional convolutional codes -- 5.
Symbolic Dynamics and Automata Theory -- Length distributions and regular sequences -- Handelman’s theorem on polynomials with positive multiples -- Topological dynamics of cellular automata -- A spanning tree invariant for Markov
shifts -- List of workshop participants
ISBN:9781461301653
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:The IMA Volumes in Mathematics and its Applications: 123
Keywords: Computer science , Coding theory , Computers , Mathematics , Mathematical analysis , Analysis (Mathematics) , Applied mathematics , Engineering mathematics , Electrical engineering , Computer Science , Theory of Computation , Mathematics, general , Analysis , Applications of Mathematics , Coding and Information Theory , Electrical Engineering
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Call number:SPRINGER-2001-9781447103493:ONLINE Show nearby items on shelf
Title:Control of Complex Systems
Author(s):
Date:2001
Size:1 online resource (482 p.)
Note:10.1007/978-1-4471-0349-3
Contents:1. Introduction -- 1.1 Complex Systems and Control -- 1.2 Complex Engineering Systems -- 1.3 The Role of Feedback -- 1.4 Dynamics and Control -- 1.5 The Nature of Failures -- 1.6 Research Challenges -- 1.7 About the Book -- 2.
Modeling Complex Physical Systems -- 2.1 Introduction -- 2.2 The Modelica Project -- 2.3 Composition Diagrams -- 2.4 Modelica Details -- 2.5 Non-causal Modeling -- 2.6 Advanced Modeling Features -- 2.7 Standard Libraries -- 2.8 Future
Development -- 2.9 Conclusions -- 3. Passivity-based Control of Non-linear Systems -- 3.1 Introduction -- 3.2 Passivity and Stability Analysis of Feedback Interconnections -- 3.3 Feedback Passivity and Stabilization -- 3.4
Euler-Lagrange Systems -- 3.5 Disturbance Attenuation and R oo Control -- 4. An Introduction to Forwarding -- 4.1 Introduction -- 4.2 C1 Dissipative Systems -- 4.3 C1 Dis sipative Systems via Reduction or Extension -- 4.4 Exact Change
of Coordinates -- 4.5 Approximate Change of Coordinates -- 5. Iterative Identification and Control Design -- 5.1 Introduction -- 5.2 Youla Parametrization -- 5.3 A Generic Two-degree of Freedom Controller -- 5.4 Optimization of the
Generic Scheme -- 5.5 A New Closed-loop System Parametrization -- 5.6 Asymptotic Variances for K-B-Parametrization -- 5.7 Iterative Controller Refinement -- 5.8 Robustness and Sensitivity -- 5.9 Product Inequalities -- 6. Learning
Control of Complex Systems -- 6.1 Introduction -- 6.2 Model Structures for Learning -- 6.3 Control Structures for Learning -- 6.4 Learning Paradigms -- 6.5 A General Framework for On-line Learning -- 6.6 Validation -- 6.7 Conclusions
-- 7. Software for Complex Controllers -- 7.1 Introduction -- 7.2 An Evolving Paradigm -- 7.3 Emerging Software Concepts -- 7.4 On to Standardization -- 7.5 Sample Complex Software Controllers -- 7.6 The Future of Software for Control
-- 8. Fault-tolerant Control Systems -- 8.1 Introduction -- 8.2 Basic Definitions -- 8.3 Analysis of Fault Propagation -- 8.4 Analysis of Structure -- 8.5 Recoverability -- 8.6 Autonomous Fault-tolerant Control -- 8.7 An Example: Ship
Propulsio -- 8.8 Summary -- 9. Fault Detection and Isolation -- 9.1 The Principle of Model-based Fault Diagnosis -- 9.2 Signal-based FDI Approach -- 9.3 Quantitative Model-based FDI Approach -- 9.4 Qualitative Model-based FDI Approach
-- 9.5 Summary -- 10. Residual Generation for FDI in Non-linear Systems -- 10.1 Introduction -- 10.2 Algebraic Approach -- 10.3 Geometric Approach -- 10.4 Conclusion -- 11. Predictive Methods for FTC -- 11.1 Introduction -- 11.2
Predictive Control -- 11.3 Embedding Fault Tolerance in Predictive Control -- 11.4 Model Adaptation and Management -- 11.5 Modifying Control Objectives -- 11.6 Current Industrial Practice -- 11.7 Conclusions -- 12. Three-tank Control
Reconfiguration -- 12.1 The Benchmark Problem -- 12.2 Reconfigurability Analysis -- 12.3 Reconfiguration Based on a Qualitative Model -- 12.4 A Hybrid Approach to Reconfigurable Control -- 12.5 A Multi-model-based Reconfigurable
Control -- 12.6 A Neural Observer-based Approach -- 12.7 Conclusions -- 13. Ship Propulsion Control and Reconfiguration -- 13.1 Introduction -- 13.2 Ship Propulsion System -- 13.3 Structural Analysis -- 13.4 Fault Detection: A Fuzzy
Observer Approach -- 13.5 Fault Detection: Non-linear Approach - 1 -- 13.6 Fault Detection: Non-linear Approach - 2 -- 13.7 Reconfiguration Using Software Redundancy -- 13.8 Reconfiguration Using Predictive Control -- 13.9 Summary and
Conclusions -- 14. Learning Control of Thermal Systems -- 14.1 Introduction -- 14.2 On Thermal System Learning Control -- 14.3 Controlling Kiln Heat Processing -- 14.4 Controlling Reheat Furnace Processes -- 14.5 Hierarchical Control
for Quality Ceramic Tiles -- 14.6 Learning Control ofFBC Combustion -- 14.7 Conclusions and Future Research -- 15. Vibration Control of High-rise Buildings -- 15.1 Introduction -- 15.2 Energy and Information -- 15.3 Analytical
Mechanics and HRB Modelling -- 15.4 Disturbance Decoupling -- 15.5 Passivity Based Control -- 15.6 Engineering Constraints and Feedback -- 15.7 Feedback Control and Testing -- 15.8 Conclusions and Future Research -- 16. Control of
Helicopters -- 16.1 Introduction -- 16.2 Project History -- 16.3 The COSY Program -- 16.4 Hardware System -- 16.5 Software -- 16.6 Design of the Autopilot -- 16.7 Future Development -- 16.8 Conclusions -- 17. Satellite Attitude Control
-- 17.1 Introduction to the Attitude Control Problem -- 17.2 Fault-tolerant Control of the 0RSTED Satellite -- 17.3 Stabilization of the Angular Velocity of a Rigid Body -- 17.4 Optimal Slew Maneuvers via Geometric Control Theory --
17.5 Attitude Control using Magnetorquers as Sole Actuators -- 17.6 Predictive Attitude Control of Small Satellites -- 17.7 Attitude Determination without Sensor Redundancy -- 17.8 Summary -- Appendix A. List of Contributors --
Appendix B. List of Abbreviations -- References
ISBN:9781447103493
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Physical measurements , Measurement , Engineering design , Control engineering , Physics , Measurement Science and Instrumentation , Control , Engineering Design
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Call number:SPRINGER-2000-9783662130643:ONLINE Show nearby items on shelf
Title:Strong Shape and Homology
Author(s): Sibe Mardešić
Date:2000
Size:1 online resource (489 p.)
Note:10.1007/978-3-662-13064-3
Contents:I. Coherent Homotopy -- 1. Coherent mappings -- 2. Coherent homotopy -- 3. Coherent homotopy of sequences -- 4. Coherent homotopy and localization -- 5. Coherent homotopy as a Kleisli category -- II. Strong Shape -- 6. Resolutions --
7. Strong expansions -- 8. Strong shape -- 9. Strong shape of metric compacta -- 10. Selected results on strong shape -- III. Higher Derived Limits -- 11. The derived functors of lim -- 12. limn and the extension functors Extn -- 13.
The vanishing theorems -- 14. The cofinality theorem -- 15. Higher limits on the category pro-Mod -- IV. Homology Groups -- 16. Homology pro-groups -- 17. Strong homology groups of systems -- 18. Strong homology on CH(pro-Top) -- 19.
Strong homology of spaces -- 20. Spectral sequences. Abelian groups -- 21. Strong homology of compact spaces -- 22. Generalized strong homology -- References -- List of Special Symbols -- Author Index
ISBN:9783662130643
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebra , K-theory , Algebraic topology , Mathematics , Algebraic Topology , Mathematics, general , Algebra , K-Theory
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Call number:SPRINGER-2000-9783662041666:ONLINE Show nearby items on shelf
Title:Formal Power Series and Algebraic Combinatorics 12th International Conference, FPSAC’00, Moscow, Russia, June 2000, Proceedings
Author(s):
Date:2000
Size:1 online resource (808 p.)
Note:10.1007/978-3-662-04166-6
Contents:Exact Asymptotics of Meander Numbers -- Algorithms of Integral Representation of Combinatorial Sums and Their Applications -- Quasi-Symmetric Functions -- Equations over Free and Fully Residually Free Groups -- Recurring Sequences --
On Modules Supported in the Nullcone -- Towards Topological Classification of Univariate Complex Polynomials -- Applicability of Zeilberger’s Algorithm to Rational Functions -- Bases explicites et conjecture n! -- A Generalized Cover
Time for Random Walks on Graphs -- On the Square Root of Languages -- A General Cyclic Lemma for Multiset Permutation Inversions -- Enumeration of Some Labelled Trees -- On Aperiodic and Star-free Formal Power Series in Partially
Commuting Variables -- Some Generalizations of Quasi-symmetric Functions and Noncommutative Symmetric Functions -- The Skeleton of a Reduced Word and a Correspondence of Edelman and Greene -- Analytic Combinatorics of Chord Diagrams --
Specifying 2-trees -- About the Dynamics of Some Systems Based on Integer Partitions and Compositions -- Hecke Algebras of Type A at q = 0 and Quasi-differential Operators -- Central Characters and Conjugacy Classes of the Symmetric
Group -- The Füredi-Hajnal Conjecture Implies the Stanley-Wilf Conjecture -- Generalized Integer Partitions, Tilings of Zonotopes and Lattices -- Topology of Colors -- The Number of Subgroups in the Fundamental Groups of Some
Non-orientable 3-Manifolds -- Unranking of Labelled Combinatorial Structures -- On Gelfand-Tsetlin Bases for Representations of Classical Lie Algebras -- A Common Asymptotic Behavior for Different Classes of Sparse Labelled Graphs with
Given Number of Vertices and Edges -- On Functions Which are Limits of Domino Tilings -- Jeux de tableaux -- The Kronecker Product of Schur Functions Indexed by Two-Row Shapes or Hook Shapes -- Special Formal Series Solutions of Linear
Ordinary Differential Equations -- New Expressions for Level-restricted Kostka Polynomials -- A Combinatorial Interpretation of the Quotient-Difference Algorithm -- Regular Unicellular Dessins d’Enfants and Weil Curves -- Quantum
Division Ring -- On the Integer Models of Plane Trees -- Congruences Compatible with the Shuffle Product -- Arithmetical Properties of [pk]-Series Associated to p-Typical Formal Group Laws and Applications -- A Note on Linear
Preservers of a Certain Matrix Partial Order -- Trees of Diameter 4 -- The Makar-Limanov’s Construction of Algebraically Closed Skew Field via Mal’cev—Newmann Series -- About Nilpotency of Engel Algebras -- Belyi Functions Related to
Plane Graphs: Multiplicities and Parasitic Solutions -- Construction of the Annihilator of a Linear Recurring Sequence over Finite Module with the help of the Berlekamp—Massey Algorithm -- Polylinear Recurring Sequences over a Bimodule
-- An Improved Version of Standard Bases -- Effective Matrix Methods in Commutative Domains -- Polylinear Shift Registers and Standard Bases -- Burnside Matrices and Subgroup Embeddings in Finite Groups -- Distribution of Elements on
Cycles of Linear Recurrences over Galois Field -- On Witt’s Formula and Invariants for Free Lie Superalgebras -- Gröbner-Shirshov Bases for Kac-Moody Algebras An(1) and Bn(1) -- On Some Classes of Linear Representable Matroids -- On a
Class of Families of Belyi Functions -- Finite Basis Property of S-Ideals of Finite Dimensional Forms -- Peak Reduction Technique in Commutative Algebra -- On Algebraic Degrees and Multiplicities for Parameters of Some Finite Group
Rings -- Some Ring and Module Properties of Skew Power Series -- Some Ring and Module Properties of Skew Laurent Series -- Extending a Partially Ordered Set: Links with its Lattice of Ideals -- From Rational Functions to Regular
Languages -- Proving a Class of Hypergeometric Identities by Means of Generating Functions -- Séries génératrices exponentielles pour les ECO-systèmes signés -- New Statistics on Non-crossing Trees -- Expected Number of Inversions
After a Sequence of Random Adjacent Transpositions -- The Variety of Associative Rings, Which Satisfy the Identity x32 = 0, is Not Specht -- Polynomials of Bounded Tree Width -- Permutations Containing and Avoiding Certain Patterns --
On the Center of the Quantum Pseudoplactic Algebra -- ECO-Approximation of Algebraic Functions -- Methods for Computing the Concurrency Degree of Commutation Monoids -- An Application of Dumont’s Statistic -- On Wohlfahrt Formula for
Finite Abelian Groups -- Induction and Auslander-Reiten Sequences Over Crossed Products -- On Acceleration of Multiprecision Computation of Products and Sums of Products of Rational Numbers -- Combinatorial Aspects of Capelli
Identities and Structure of Algebras -- Generators and the Template Method Pattern. A Paradigm for Combinatorial Experimentation -- A Software to Solve Strip Tiling Problems -- Author Index
ISBN:9783662041666
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Computer science , Discrete mathematics , Combinatorics , Mathematics , Discrete Mathematics , Combinatorics , Mathematics of Computing
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Call number:SPRINGER-2000-9783642583124:ONLINE Show nearby items on shelf
Title:Multigrid Methods VI Proceedings of the Sixth European Multigrid Conference Held in Gent, Belgium, September 27–30, 1999
Author(s):
Date:2000
Size:1 online resource (292 p.)
Note:10.1007/978-3-642-58312-4
Contents:Invited Contributions -- Multigrid Strategies for CFD Problems on Non-Structured Meshes -- Detection of Strong Coupling in Algebraic Multigrid Solvers -- Steady Euler Solutions in O(N) Operations -- The Acceleration of Multigrid
Convergence by Recombination Techniques -- Other Contributions -- Turbomachinery Computations on Parallel Computers Using a Multigrid Method -- Approximate Schur Complement Multilevel Methods for General Sparse Systems -- A Multigrid
Approach to the Optimal Control of Solid Fuel Ignition Problems -- Convergent Adaptive Wavelet Methods for the Stokes Problem -- A Finite-Element/Equivalent-Circuit Two-Level Method for Magnetic Field Simulations -- Some Aspects of
Multigrid for Mixed Discretizations -- Fixed and Adaptive Cache Aware Algorithms for Multigrid Methods -- An Adaptive-Smoothing Multigrid Method for the Navier-Stokes Equations -- Multigrid on Massively Parallel Architectures --
Experiences with Multigrid—Prolongation for Two—Equation Turbulence Models in Flows with High Reynolds Numbers -- Additive Aspects of Hybrid Multigrid/Domain Decomposition Solution of Fluid Flow Problems on Parallel Computers --
Biharmonic and Bi-Helmholtz Type Scattered Data Interpolation using Quadtrees and Multigrid Technique -- Algebraic Multigrid for Solving Electromechanical Problems -- Multigrid Methods for Mortar Finite Elements -- The Sparse-Grid
Combination Technique Applied to Time-Dependent Advection Problems -- Multigrid Acceleration in a 3D Navier-Stokes Solver Using Unstructured Hexahedral Meshes with Adaptation -- Analysis of Several Multigrid Implicit Algorithms for the
Solution of the Euler Equations on Unstructured Meshes -- Efficient Large-Eddy Simulations of Compressible Flows Using Multigrid -- Application of Multigrid in Two-Equation Turbulence Modelling -- Evaluation of Multigrid as a Solver
for Stress Analysis Problems in Semiconductor Process Simulation -- Multilevel Techniques for the Solution of the Inverse Problem of Electrocardiography -- Robust Multigrid Algorithms for 3D Elliptic Equations on Structured Grids -- A
Multigrid Newton-Krylov Solver for Non-linear Systems -- Estimation of the Condition Number of Additive Preconditioners on Tensor Product Grids -- Multigrid Algorithms for the Tracking of Electron Beams -- Stable Semi-Iterative
Smoother for Cascadic and Multigrid Algorithms -- Scalability of Parallel Multigrid Adaption -- From Molecular Dynamics to Continuum Models -- Multigrid With an Immersed Interface -- Analysis of a Non-Standard Multigrid Preconditioner
by Spectral Portrait Computation -- Treatment of All Speed Flows and High Aspect Ratios in CFD Applications -- On the Algebraic Construction of Multilevel Transfer Operators (for Convection-Diffusion-Reaction Equations) -- Upwind
Prolongations for a Highly—Unstructured Euler Solver -- Fourier Analysis for Krylov Subspace Acceleration of Multigrid with Application to 3D Anisotropic Problems -- Parallel Adaptively Refined Sparse Grids -- Author Index
ISBN:9783642583124
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Computational Science and Engineering: 14
Keywords: Mathematics , Computer science , Numerical analysis , Mathematics , Numerical Analysis , Mathematics of Computing
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Call number:SPRINGER-2000-9783540454632:ONLINE Show nearby items on shelf
Title:Noise, Oscillators and Algebraic Randomness From Noise in Communication Systems of Number Theory Lectures of a School Held in Chapelle des Bois, France, April 5–10, 1999
Author(s):
Date:2000
Size:1 online resource (3 p.)
Note:10.1007/3-540-45463-2
Contents:Mathemagics -- Thermal and Quantum Noise in Active Systems -- Dipole at ? = 1 -- Stored Ion Manipulation Dynamics of Ion Cloud and Quantum Jumps with Single Ions -- 1/f Fluctuations in Cosmic Ray Extensive Air Showers -- Stochastic
Resonance and the Benefit of Noise in Nonlinear Systems -- Time is Money -- Oscillators and the Characterization of Frequency Stability: an Introduction -- Phase Noise Metrology -- Phonon Fine Structure in the 1/f Noise of Metals,
Semiconductors and Semiconductor Devices -- The General Nature of Fundamental 1/f Noise in Oscillators and in the High Technology Domain -- 1/f Frequency Noise in a Communication Receiver and the Riemann Hypothesis -- Detection of
Chaos in the Noise of Electronic Oscillators by Time Series Analysis Methods -- Geometry and Dynamics of Numbers Under Finite Resolution -- Diophantine Conditions and Real or Complex Brjuno Functions -- Algebraic and Analytic
Randomness -- From Symbolic Dynamics to a Digital Approach: Chaos and Transcendence -- Algebraic Dynamics and Transcendental Numbers -- Dynamics of Some Contracting Linear Functions Modulo 1 -- On the Modular Function and Its
Importance for Arithmetic -- On Generalized Markoff Equations and Their Interpretation
ISBN:9783540454632
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Physics: 550
Keywords: Physics , Applied mathematics , Engineering mathematics , Statistical physics , Dynamical systems , Physics , Mathematical Methods in Physics , Statistical Physics, Dynamical Systems and Complexity , Applications of Mathematics
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Call number:SPRINGER-2000-9781461544012:ONLINE Show nearby items on shelf
Title:Intelligent Systems and Interfaces
Author(s):
Date:2000
Size:1 online resource (452 p.)
Note:10.1007/978-1-4615-4401-2
Contents:1 : Intelligent Agents and Bio-Inspired Systems -- 1. A tutoring based approach to the development of intelligent agents -- 2. An object-oriented framework for building collaborative network agents -- 3. Navigation: Animals as
Autonomous Robots -- 4. From configurable circuits to bio-inspired systems -- 2: Intelligent Data Processing -- 5. Fuzzy data mining -- 6. Feature-oriented hybrid neural adaptive systems and applications -- 7. Algebraic neuro-fuzzy
systems and applications -- 3: Interfaces -- 8. Neuro-fuzzy approach to natural language understanding and processing. Part I: Neuro-fuzzy device -- 9. Neuro-fuzzy approach to natural language understanding and processing. Part II:
Neuro-fuzzy learning algorithms -- 10. Graph matching and similarity -- 4: Applications and High-tech Management -- 11. Diagnosis systems and strategies: principles, fuzzy and neural approaches -- 12. Intelligent non-destructive
testing and evaluation with industrial applications -- 13. Managing high-tech projects. Part I -- 14. Managing high-tech projects. Part II -- Index of Terms
ISBN:9781461544012
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:International Series in Intelligent Technologies: 15
Keywords: Mathematics , Computer science , System theory , Mathematical logic , Electrical engineering , Mathematics , Mathematical Logic and Foundations , Systems Theory, Control , Computer Science, general , Electrical Engineering
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Call number:SPRINGER-2000-9781461212720:ONLINE Show nearby items on shelf
Title:Quantum Mechanics
Author(s): K. T Hecht
Date:2000
Size:1 online resource (760 p.)
Note:10.1007/978-1-4612-1272-0
Contents:I Introduction to Quantum Mechanics -- 1 Background: The Duality of Nature -- 2 The Motion of Wave Packets: Fourier Analysis -- 3 The Schrödinger Wave Equation and Probability Interpretation -- 4 Schrödinger Theory: The Existence of
Discrete Energy Levels -- 5 Harmonic Oscillator Calculations -- 6 Further Interpretation of the Wave Function -- 7 The Eigenvalue Problem -- 8 Spherical Harmonics, Orbital Angular Momentum -- 9 ?-Step operators for the ? Equation -- 10
The Radial Functions for the Hydrogenic Atom -- 11 Shape-Invariant Potentials: Soluble One-Dimensional Potential Problems -- 12 The Darboux Method: Supersymmetric Partner Potentials -- 13 The Vector Space Interpretation of
Quantum-Mechanical Systems -- 14 The Angular Momentum Eigenvalue Problem (Revisited) -- 15 Rigid Rotators: Molecular Rotational Spectra -- 16 Transformation Theory -- 17 Another Example: Successive Polarization Filters for Beams of
Spin s = 1/2 Particles -- 18 Transformation Theory for Systems with Continuous Spectra -- 19 Time-Dependence of State Vectors, Algebraic Techniques, Coherent States -- II Time-Independent Perturbation Theory -- 20 Perturbation Theory
-- 21 Stationary-State Perturbation Theory -- 22 Example 1: The Slightly Anharmonic Oscillator -- 23 Perturbation Theory for Degenerate Levels -- 24 The Case of Nearly Degenerate Levels -- 25 Magnetic Field Perturbations -- 26 Fine
Structure and Zeeman Perturbations in Alkali Atoms -- III Angular Momentum Theory -- 27 Angular Momentum Coupling Theory -- 28 Symmetry Properties of Clebsch—Gordan Coefficients -- 29 Invariance of Physical Systems Under Rotations --
30 The Clebsch—Gordan Series -- 31 Spherical Tensor Operators -- 32 The Wigner—Eckart Theorem -- 33 Nuclear Hyperfine Structure in One-Electron Atoms -- *34 Angular Momentum Recompiling: Matrix Elements of Coupled Tensor Operators in
an Angular Momentum Coupled Basis -- *35 Perturbed Coulomb Problems via SO(2,1) Algebra -- 36 The WKB Approximation -- 37 Applications of the WKB Approximation -- IV Systems of Identical Particles -- 38 The Two-Electron Atom -- 39
n-Identical Particle States -- 40 The Variational Method -- V Scattering Theory -- 41 Introduction to Scattering Theory -- 42 The Rayleigh—Faxen—Holtzmark Partial Wave Expansion: Phase Shift Method -- 43 A Specific Example: Scattering
from Spherical Square Well Potentials -- 44 Scattering Resonances: Low-Energy Scattering -- 45 Integral Equation for Two-Body Relative Motion: Scattering Green’s Functions in Coordinate Representation -- 46 The Born Approximation -- 47
Operator Form of Scattering Green’s Function and the Integral Equation for the Scattering Problem -- 48 Inelastic Scattering Processes and Rearrangement Collisions -- 49 Differential Scattering Cross Sections for Rearrangement
Collisions: Born Approximation -- 50 A Specific Example of a Rearrangement Collision: The (d, p) Reaction on Nucleus A -- 51 The S Matrix -- 52 Scattering Theory for Particles with Spin -- 53 Scattering of Spin 1/2 Particles from
Spinless Target: Partial Wave Decomposition -- 54 The Polarization Vector -- 55 Density Matrices -- 56 Isospin -- VI Time-Dependent Perturbation Theory -- 57 Time-Dependent Perturbation Expansion -- 58 Oscillating Magnetic Fields:
Magnetic Resonance -- 59 Sudden and Adiabatic Approximations -- VII Atom—Photon Interactions -- 60 Interaction of Electromagnetic Radiation with Atomic Systems -- 61 Photons: The Quantized Radiation Field -- 62 Vector Spherical
Harmonics -- 63 The Emission of Photons by Atoms: Electric Dipole Approximation -- 64 The Photoelectric Effect: Hydrogen Atom -- 65 Spontaneous Photon Emission: General Case: Electric and Magnetic Multipole Radiation -- 66 Scattering
of Photons by Atomic Systems -- 67 Resonance Fluorescence Cross Section -- 68 Natural Line Width: Wigner—Weisskopf Treatment -- VIII Introduction to Relativistic Quantum Mechanics -- 69 Dirac Theory: Relativistic Quantum Theory of
Spin-1/2 Particles -- 70 Lorentz Covariance of the Dirac Equation -- 71 Bilinear Covariants -- 72 Simple Solutions: Free Particle Motion: Plane Wave Solutions -- 73 Dirac Equation for a Particle in an Electromagnetic Field -- 74 Pauli
Approximation to the Dirac Equation -- 75 The Klein Paradox: An Example from the History of Negative Energy State Difficulties: The Positron Interpretation -- 76 Exact Solutions for the Dirac Equation for Spherically Symmetric
Potentials -- 77 The MIT Bag Model: The Dirac Equation for a Quark Confined to a Spherical Region -- IX Introduction to Many-Body Theory -- 78 Many-Body Formalism -- 79 Many-Body Techniques: Some Simple Applications
ISBN:9781461212720
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Keywords: Physics , Mechanics , Physics , Mechanics
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Call number:SPRINGER-2000-9781461212584:ONLINE Show nearby items on shelf
Title:Coherent States, Wavelets and Their Generalizations
Author(s): Syed Twareque Ali
Date:2000
Size:1 online resource (418 p.)
Note:10.1007/978-1-4612-1258-4
Contents:1 Introduction -- 2 Canonical Coherent States -- 2.1 Minimal uncertainty states -- 2.2 The group-theoretical backdrop -- 2.3 Some functional analytic properties -- 2.4 A complex analytic viewpoint (?) -- 2.5 Some geometrical
considerations -- 2.6 Outlook -- 2.7 Two illustrative examples -- 3 Positive Operator-Valued Measures and Frames -- 3.1 Definitions and main properties -- 3.2 The case of a tight frame -- 3.3 Example: A commutative POV measure -- 3.4
Discrete frames -- 4 Some Group Theory -- 4.1 Homogeneous spaces, quasi-invariant, and invariant measures -- 4.2 Induced representations and systems of covariance -- 4.3 An extended Schur’s lemma -- 4.4 Harmonic analysis on locally
compact abelian groups -- 4.5 Lie groups and Lie algebras: A reminder -- 5 Hilbert Spaces with Reproducing Kernels and Coherent States -- 5.1 A motivating example -- 5.2 Measurable fields and direct integrals -- 5.3 Reproducing kernel
Hilbert spaces -- 5.4 Some properties of reproducing kernel Hilbert spaces -- 6 Square Integrable and Holomorphic Kernels -- 6.1 Square integrable kernels -- 6.2 Holomorphic kernels -- 6.3 Coherent states: The holomorphic case -- 7
Covariant Coherent States -- 7.1 Covariant coherent states -- 7.2 Example: The classical theory of coherent states -- 7.3 Square integrable covariant CS: The general case -- 8 Coherent States from Square Integrable Representations --
8.1 Square integrable group representations -- 8.2 Orthogonality relations -- 8.3 The Wigner map -- 8.4 Modular structures and statistical mechanics -- 9 Some Examples and Generalizations -- 9.1 A class of semidirect product groups --
9.2 A generalization: ?- and V-admissibility -- 10 CS of General Semidirect Product Groups -- 10.1 Squeezed states (?) -- 10.2 Geometry of semidirect product groups -- 10.3 CS of semidirect products -- 11 CS of the Relativity Groups --
11.1 The Poincaré groups (1, 3) and (1,1) -- 11.2 The Galilei groups (11) and (1, 3) (?) -- 11.3 The anti-de Sitter group SOo(1,2) and its contraction(s) (?) -- 12 Wavelets -- 12.1 A word of motivation -- 12.2 Derivation and properties
of the 1-D continuous wavelet transform (?) -- 12.3 A mathematical aside: Extension to distributions -- 12.4 Interpretation of the continuous wavelet transform -- 12.5 Discretization of the continuous WT: Discrete frames -- 12.6 Ridges
and skeletons -- 12.7 Applications -- 13 Discrete Wavelet Transforms -- 13.1 The discrete time or dyadic WT -- 13.2 Towards a fast CWT: Continuous wavelet packets -- 13.3 Wavelets on the finite field ?p (?) -- 13.4 Algebraic wavelets
-- 14 Multidimensional Wavelets -- 14.1 Going to higher dimensions -- 14.2 Mathematical analysis (?) -- 14.3 The 2-D case -- 15 Wavelets Related to Other Groups -- 15.1 Wavelets on the sphere and similar manifolds -- 15.2 The affine
Weyl-Heisenberg group (?) -- 15.3 The affine or similitude groups of space-time -- 16 The Discretization Problem: Frames, Sampling, and All That -- 16.1 The Weyl—Heisenberg group or canonical CS -- 16.2 Wavelet frames -- 16.3 Frames
for affine semidirect products -- 16.4 Groups without dilations: The Poincaré groups (?) -- 16.5 A group-theoretical approach to discrete wavelet transforms -- 16.6 Conclusion -- Conclusion and Outlook -- References
ISBN:9781461212584
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Keywords: Physics , Topological groups , Lie groups , Quantum physics , Quantum computers , Spintronics , Physics , Quantum Physics , Topological Groups, Lie Groups , Quantum Information Technology, Spintronics
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Call number:SPRINGER-2000-9781461211648:ONLINE Show nearby items on shelf
Title:Computer Networks and Systems Queueing Theory and Performance Evaluation
Author(s): Thomas G Robertazzi
Date:2000
Edition:Third Edition
Size:1 online resource (409 p.)
Note:10.1007/978-1-4612-1164-8
Contents:1: The Queueing Paradigm -- 1.1 Introduction -- 1.2 Queueing Theory -- 1.3 Queueing Models -- 1.4 Case Study I: Performance Model of a Distributed File Service By W.G. Nichols and J.S. Emer -- 1.5 Case Study II: Single-bus
Multiprocessor Modeling By B.L. Bodnar and A.C. Liu -- 1.6 Case Study III: TeraNet, A Lightwave Network -- 1.7 Case Study IV: Performance Model of a Shared Medium Packet Switch By R. Guerin -- 2: Single Queueing Systems -- 2.1
Introduction -- 2.2 The M/M/1 Queueing System -- 2.3 Little’s Law -- 2.4 Reversibility and Burke’s Theorem -- 2.5 The State Dependent M/M/1 Queueing System -- 2.6 The M/M/1/N Queueing System: The Finite Buffer Case -- 2.7 The M/M/?
Queueing System: Infinite Number of Servers -- 2.8 The M/M/m Queueing System: m Parallel Servers with a Queue -- 2.9 The M/M/m/m Queue: A Loss System -- 2.10 Central Server CPU Model -- 2.11 Transient Solution of the M/M/1/? Queueing
System -- 2.12 The M/G/1 Queueing System -- 2.13 Priority Systems for Multiclass Traffic -- To Look Further -- Problems -- 3: Networks of Queues -- 3.1 Introduction -- 3.2 The Product Form Solution -- 3.3 Algebraic Topological
Interpretation of the Product Form Solution -- 3.4 Recursive Solution of Nonproduct Form Networks -- 3.5 Queueing Networks with Negative Customers -- To Look Further -- Problems -- 4: Numerical Solution of Models -- 4.1 Introduction --
4.2 Closed Queueing Networks: Convolution Algorithm -- 4.3 Mean Value Analysis -- 4.4 PANACEA: Approach for Large Markovian Queueing Networks -- 4.5 Norton’s Equivalent for Queueing Networks -- 4.6 Simulation of Communication Networks
By J.F. Kurose and H.T. Mouftah -- To Look Further -- Problems -- 5: Stochastic Petri Nets -- 5.1 Introduction -- 5.2 Bus-oriented Multiprocessor Model -- 5.3 Toroidal MPN Lattices -- 5.4 The Dining Philosophers Problem -- 5.5 A
Station-oriented CSMA/CD Protocol Model -- 5.6 The Alternating Bit Protocol -- 5.7 SPN’s without Product Form Solutions -- 5.8 Conclusion -- To Look Further -- Problems -- 6: Discrete Time Queueing Systems -- 6.1 Introduction -- 6.2
Discrete Time Queueing Systems -- 6.3 Discrete Time Arrival Processes -- 6.4 The Geom/Geom/m/N Queueing System -- 6.5 The Geom/Geom/1/N and Geom/Geom/1 Queueing Systems -- 6.6 Case Study I: Queueing on a Space Division Packet Switch --
6.7 Case Study II: Queueing on a Single-buffered Banyan Network -- 6.8 Case Study III: DQDB Erasure Station Location -- To Look Further -- Problems -- 7: Network Traffic Modeling -- 7.1 Introduction -- 7.2 Continuous Time Models -- 7.3
Discrete Time Models -- 7.4 Solution Methods -- 7.5 Burstiness -- 7.6 Self-Similar Traffic -- To Look Further -- Appendix: Probability Theory Review -- A.1 Probability -- A.2 Densities and Distribution Functions -- A.3 Joint Densities
and Distributions -- A.4 Expectations -- A.5 Convolution -- A.6 Combinatorics -- A.7 Some Useful Summations -- A.8 Useful Moment-generating Function Identities -- References
ISBN:9781461211648
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Keywords: Statistics , Statistics , Statistics, general
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Call number:SPRINGER-2000-9781447103776:ONLINE Show nearby items on shelf
Title:Numerical Methods for Partial Differential Equations
Author(s): Gwynne A Evans
Date:2000
Size:1 online resource (290 p.)
Note:10.1007/978-1-4471-0377-6
Contents:1. Background Mathematics -- 1.1 Introduction -- 1.2 Vector and Matrix Norms -- 1.3 Gerschgorin’s Theorems -- 1.4 Iterative Solution of Linear Algebraic Equations -- 1.5 Further Results on Eigenvalues and Eigenvectors -- 1.6
Classification of Second Order Partial Differential Equations -- 2. Finite Differences and Parabolic Equations -- 2.1 Finite Difference Approximations to Derivatives -- 2.2 Parabolic Equations -- 2.3 Local Truncation Error -- 2.4
Consistency -- 2.5 Convergence -- 2.6 Stability -- 2.7 The Crank-Nicolson Implicit Method -- 2.8 Parabolic Equations in Cylindrical and Spherical Polar Coordinates -- 3. Hyperbolic Equations and Characteristics -- 3.1 First Order
Quasi-linear Equations -- 3.2 Lax-Wendroff and Wendroff Methods -- 3.3 Second Order Quasi-linear Hyperbolic Equations -- 3.4 Reetangular Nets and Finite Difference Methods for Second Order Hyperbolic Equations -- 4. Elliptic Equations
-- 4.1 Laplace’s Equation -- 4.2 Curved Boundaries -- 4.3 Solution of Sparse Systems of Linear Equations -- 5. Finite Element Method for Ordinary Differential Equations -- 5.1 Introduction -- 5.2 The Collocation Method -- 5.3 The Least
Squares Method -- 5.4 The Galerkin Method -- 5.5 Symmetrie Variational Forrnulation -- 5.6 Finite Element Method -- 5.7 Some Worked Examples -- 6. Finite Elements for Partial Differential Equations -- 6.1 Introduction -- 6.2
Variational Methods -- 6.3 Some Specific Elements -- 6.4 Assembly of the Elements -- 6.5 Worked Example -- 6.6 A General Variational Principle -- 6.7 Assembly and Solution -- 6.8 Solution of the Worked Example -- 6.9 Further
Interpolation Functions -- 6.10 Quadrature Methods and Storage Considerations -- 6.11 Boundary Element Method -- A. Solutions to Exercises -- References and Further Reading
ISBN:9781447103776
Series:eBooks
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Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Numerical analysis , Mathematics , Numerical Analysis , Analysis
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