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Call number: | SPRINGER-2016-9783319304519:ONLINE Show nearby items on shelf |
Title: | Symmetries in Graphs, Maps, and Polytopes 5th SIGMAP Workshop, West Malvern, UK, July 2014 |
Author(s): | |
Date: | 2016 |
Edition: | 1st ed. 2016 |
Size: | 1 online resource (332 p.) |
Note: | 10.1007/978-3-319-30451-9 |
ISBN: | 9783319304519 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Springer Proceedings in Mathematics & Statistics: 159 |
Keywords: | Mathematics , Algebra , Field theory (Physics) , Topological groups , Lie groups , Graph theory , Mathematics , Graph Theory , Field Theory and Polynomials , Topological Groups, Lie Groups |
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Call number: | SPRINGER-2016-9783319273235:ONLINE Show nearby items on shelf |
Title: | Non-Archimedean Operator Theory |
Author(s): |
Toka Diagana |
Date: | 2016 |
Size: | 1 online resource (156 p.) |
Note: | 10.1007/978-3-319-27323-5 |
ISBN: | 9783319273235 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Algebra , Field theory (Physics) , Functional analysis , Operator theory , Functions of real variables , Mathematics , Operator Theory , Functional Analysis , Field Theory and Polynomials , Real Functions |
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Call number: | SPRINGER-2016-9783319259017:ONLINE Show nearby items on shelf |
Title: | Perturbative Algebraic Quantum Field Theory An Introduction for Mathematicians |
Author(s): |
Kasia Rejzner |
Date: | 2016 |
Edition: | 1st ed. 2016 |
Size: | 1 online resource (180 p.) |
Note: | 10.1007/978-3-319-25901-7 |
Contents: | Introduction -- Algebraic approach to quantum theory -- Algebraic quantum mechanics -- Causality -- Haag-Kastler axioms -- pAQFT axioms -- LCQFT -- Kinematical structure -- The space of field configurations -- Functionals on the |
configuration space -- Fermionic field configurations -- Vector fields -- Functorial interpretation -- Classical theory -- Dynamics -- Natural Lagrangians -- Homological characterization of the solution space -- The net of topological | |
Poisson algabras -- Analogy with classical mechanics -- Deformation quantization -- Star products -- The star product on the space of multivector fields -- Kähler structure -- Interaction -- Outline of the approach -- Scatering matrix | |
and time ordered products -- Renormalization group -- Interacting local nets -- Explicit construction -- Gauge theories -- Classical gauge theory -- Gauge-fixing -- BV formalism -- Effective quantum gravity -- From LCQFT to quantum | |
gravity -- Dynamics and symmetries -- Linearized theory -- Quantization -- Relational observables -- Background independence | |
ISBN: | 9783319259017 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Algebra , Field theory (Physics) , Mathematical physics , Quantum field theory , String theory , Physics , Quantum Field Theories, String Theory , Mathematical Physics , Field Theory and Polynomials |
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Call number: | SPRINGER-2014-9783319052540:ONLINE Show nearby items on shelf |
Title: | Trends in Contemporary Mathematics [electronic resource] |
Author(s): |
Vincenzo Ancona Elisabetta Strickland |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | This book covers a wide spectrum of hot topics and current trends in mathematics, including noncommutative algebra via deformation theory, optimal transportation, nonlinear potential theory,kinetic theory and gas dynamics,geometric numerical integrat ion, finite simple groups of small essential dimension, optimal control problems, extended Dynkin diagrams, spin glasses, aspherical closed manifolds, Boltzmann systems, birational geometry of projectivevarieties and directed graphs, nonlinear diffusion, geometric constructions of extremal metrics on complex manifolds, and Pells equation in polynomials. The book comprises a selection of contributions by leading internationalmathematicians who were speakers at the INdAM Day, an initiative dating back to 20 04 at which the most recent developments in contemporary mathematics are presented |
Contents: | 1 F. Guerra: Interpolation and comparison methods in the mean field spin glass model |
2 A. De Sole, V.G. Kac, D. Valeri: Integrability of dirac reduced Bi | |
Hamiltonian equations | |
3 W. Luck: Some open problems about aspherical closed manifolds abstract | |
4 P. Etingof: Exploring noncommutative algebras via deformation theory | |
5 G. Lancia: Mathematical models and solutions for the analysis of human genotypes | |
6 M. Manetti: Kodaira | |
Spencer formality of products of complex manifolds | |
7 O. Debarre, B. Lass: Monomial transformations of the projective space | |
8 J.L. Vazquez: Progress in the | |
ISBN: | 9783319052540 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Springer INdAM Series, 2281-518X : v8 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Geometry, algebraic , Global analysis (Mathematics) , Differential equations, partial , Computer science Mathematics |
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Call number: | SPRINGER-2014-9783319035185:ONLINE Show nearby items on shelf |
Title: | Networks of Networks: The Last Frontier of Complexity [electronic resource] |
Author(s): |
Gregorio D'Agostino Antonio Scala |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | The present work is meant as a reference to provide an organic and comprehensive view of the most relevant results in the exciting new field of Networks of Networks (NetoNets). Seminal papers have recently been published posingthe basis to study what happens when different networks interact, thus providing evidence for the emergence of new, unexpected behaviors and vulnerabilities. From those seminal works, the awareness on the importance understandingNetworks of Networks (NetoNets) has spread to the entire community of Complexity Science. The reader will benefit from the experience of some of the most well-recognized leaders in this field. The contents have been aggregated underfour headings General Theory, Phenomenology, Applications and Risk Asses sment. The reader will be impressed by the different applications of the general paradigm that span from physiology, to financial risk, to transports. We arecurrently making the first steps to reduce the distance between the language and the way of thinki ng of the two communities of experts in real infrastructures and the complexity scientists. Although this path may prove to be long, itis extremely promising, both in extending our understanding of complex systems and in finding concrete applications that can enhance the life quality of millions of people |
Contents: | Part I Theoretical Approaches |
Network of Interdependent Networks: Overview of Theory and Applications (18 April 2013) | |
Avalanches in Multiplex and Interdependent Networks | |
Multiple Networks | |
Modeling Interconnected Networks as Random Graphs: Connectivity and Systemic Risk | |
Thresholds and Complex Dynamics of Interdependent Cascading Infrastructure Systems | |
Part II Applications | |
Characterizing Relevant Network Structure with Reliability Polynomials | |
Spatial Effects: Transport on Interdependent Networks | |
Electrical Networks An Introduction | |
Smart Grid as Multi | |
Layer In | |
ISBN: | 9783319035185 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Understanding Complex Systems, 1860-0832 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Engineering , Economics, Mathematical |
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Call number: | SPRINGER-2014-9781493909254:ONLINE Show nearby items on shelf |
Title: | Commutative Algebra [electronic resource] : Recent Advances in Commutative Rings, Integer-Valued Polynomials, and Polynomial Functions |
Author(s): |
Marco Fontana Sophie Frisch Sarah Glaz |
Date: | 2014 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | This volume presents a multi-dimensional collection of articles highlighting recent developments in commutative algebra. It also includes an extensive bibliography and lists a substantial number of open problems that point tofuture directions of rese arch in the represented subfields. The contributions cover areas in commutative algebra that have flourished in the last few decades and are not yet well represented in book form. Highlighted topics andresearch methods include Noetherian and non- Noetheri an ring theory as well as integer-valued polynomials and functions. Specific topics include: Homological dimensions of Prfer-like rings Quasi complete rings Total graphs of rings Properties of prime ideals over various rings Bases for integer-valued p olynomials Boolean subrings The portable property of domains Probabilistic topics inIntn(D) Closure operations in Zariski-Riemann spaces of valuation domains Stability of domains Non-Noetherian grade Homotopy in integer-valued polynomials Localiza tions of global propertiesof rings Topics in integral closure Monoids and submonoids of domains The book includes twenty articles written by many of the most prominent researchers in the field. Most contributions are authored by attendees ofthe conferen ce in commutative algebra held at the Graz University of Technology in December 2012. There is also a small collection of invited articles authored by those who did not attend the conference. Following the model of the Grazconference, the volume contains a number of comprehensive survey articles along with related research articles featuring recent results that have not yet been published elsewhere |
Contents: | Preface |
Weak global dimension of Prfer | |
like rings (K. Adarbeh, S | |
E. Kabbaj) | |
Quasi | |
complete semilocal rings and modules (D.D. Anderson) | |
On the total graph of a ring and its related graphs: A survey (A. Badawi) | |
Prime ideals in polynomials and power series rings over Noetherian domains | |
Integer | |
valued polynomials: Looking for regular bases (J | |
L. Chabert) | |
On Boolean subrings of rings (I. Chajda, G. Eigenthaler) | |
On a new class of integral domains with the portable property (D.E. Dobbs, G. Picavet, M. Picavet | |
L'Hermitte) | |
The probability that Intn(D) is free (J. Elliott | |
ISBN: | 9781493909254 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Algebra , Algebraic topology |
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Call number: | SPRINGER-2014-9781493902583:ONLINE Show nearby items on shelf |
Title: | Analytic Number Theory, Approximation Theory, and Special Functions [electronic resource] : In Honor of Hari M. Srivastava |
Author(s): |
Gradimir V Milovanovi Michael Th Rassias |
Date: | 2014 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | This book, in honor of Hari M. Srivastava, discusses essential developments in mathematical research in a variety of problems. It contains thirty-five articles, written by eminent scientists from the international mathematicalcommunity, including bot h research and survey works. Subjects covered include analytic number theory, combinatorics, special sequences of numbers and polynomials, analytic inequalities and applications, approximation of functions andquadratures, orthogonality, and special and co mplex functions. The mathematical results and open problems discussed in this book are presented in a simple and self-contained manner. The book contains an overview of old and new results,methods, and theories toward the solution of longstanding problems in a wide scientific field, as well as new results in rapidly progressing areas of research. The book will be useful for researchers and graduate students in the fieldsof mathematics, physics, and other computational and applied sciences |
Contents: | Part I. Analytic Number Theory, Combinatorics, and Special Sequences of Numbers and Polynomials |
The mean values of the Riemann Zeta function on the critical line (A. Ivi) | |
Explicit bounds concerning non | |
trivial zeros of the Riemann Zeta function (M. Hassani) | |
On the value | |
distribution of logarithmic derivatives of Dirichlet L | |
functions (Y. Ihara, K. Matsumoto) | |
Multiple Gamma functions and their applications (J. Choi) | |
On partition functions of hyperbolic three | |
geometry and associated Hilbert schemes (A.A. Bytsenko and E. Elizalde) | |
Families of twisted Bernoulli numbers, twisted | |
ISBN: | 9781493902583 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Functional equations , Functional analysis , Number theory |
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Call number: | SPRINGER-2013-9789491216862:ONLINE Show nearby items on shelf |
Title: | Single Variable Differential and Integral Calculus [electronic resource] : Mathematical Analysis |
Author(s): |
Elimhan Mahmudov |
Date: | 2013 |
Publisher: | Paris : Atlantis Press : Imprint: Atlantis Press |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The book Single variable Differential and Integral Calculus is an interesting text book for students of mathematics and physics programs, and a reference book for graduate students in any engineering field. This book isunique in the field of mathemat ical analysis in content and in style. It aims to define, compare and discuss topics in single variable differential and integral calculus, as well as giving application examples in important businessfields. Some elementary concepts such as the power of a set, cardinality, measure theory, measurable functions are introduced. It also covers real and complex numbers, vector spaces, topological properties of sets, series and sequencesof functions (including complex-valued functions and functions of a complex variable), polynomials and interpolation and extrema of functions. Although analysis is based on the single variable models and applications, theorems andexamples are all set to be converted to multi variable extensions. For example, Newton, Riemann, Sti eltjes and Lebesque integrals are studied together and compared |
Note: | Springer eBooks |
Contents: | Introduction to Numbers and Set Theory |
Sequences and Series | |
Limits and Continuity of Functions | |
Differential Calculus | |
Some Basic Properties of Differentiable Functions | |
Polynomials and Interpolations | |
Applications of Differential Calculus to Limit Calculations and Extremum Problems | |
The Indefinite Integral | |
The Definite Integral | |
Applications of the Definite Integral | |
ISBN: | 9789491216862 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Global analysis (Mathematics) , Differential Equations |
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Call number: | SPRINGER-2013-9781461469711:ONLINE Show nearby items on shelf |
Title: | Graphs on Surfaces [electronic resource] : Dualities, Polynomials, and Knots |
Author(s): |
Joanna A Ellis-Monaghan Iain Moffatt |
Date: | 2013 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Graphs on Surfaces: Dualities, Polynomials, and Knots offers an accessible and comprehensive treatment of recent developments on generalized duals of graphs on surfaces, and their applications. The authors illustrate theinterdependency between dualit y, medial graphs and knots how this interdependency is reflected in algebraic invariants of graphs and knots and how it can be exploited to solve problems in graph and knot theory. Taking aconstructive approach, the authors emphasize how generalized duals and related ideas arise by localizing classical constructions, such as geometric duals and Tait graphs, and then removing artificial restrictions in these constructionsto obtain full extensions of them to embedded graphs. The authors demonstrate the bene fits of these generalizations to embedded graphs in chapters describing their applications to graph polynomials and knots. Graphs on Surfaces:Dualities, Polynomials, and Knots also provides a self-contained introduction to graphs on surfaces, generalized duals, topological graph polynomials, and knot polynomials that is accessible both to graph theorists and to knottheorists. Directed at those with some familiarity with basic graph theory and knot theory, this book is appropriate for graduate students an d researchers in either area. Because the area is advancing so rapidly, the authors give acomprehensive overview of the topic and include a robust bibliography, aiming to provide the reader with the necessary foundations to stay abreast of the field. The reader will come away from the text convinced of advantages ofconsidering these higher genus analogues of constructions of plane and abstract graphs, and with a good understanding of how they arise |
Note: | Springer eBooks |
Contents: | 1. Embedded Graphs |
2. Generalised Dualities | |
3. Twisted duality, cycle family graphs, and embedded graph equivalence | |
4. Interactions with Graph Polynomials | |
5. Applications to Knot Theory | |
References | |
Index | |
ISBN: | 9781461469711 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | SpringerBriefs in Mathematics, 2191-8198 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Topology , Algebraic topology |
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Call number: | SPRINGER-2013-9781461466789:ONLINE Show nearby items on shelf |
Title: | The Fundamentals of Atomic and Molecular Physics [electronic resource] |
Author(s): |
Robert L Brooks |
Date: | 2013 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The Fundamentals of Atomic and Molecular Physics is intended as an introduction to the field for advanced undergraduates who have taken quantum mechanics. Each chapter builds upon the previous, using the same tools and methodsthroughout. As the stude nts progress through the book, their ability to use these tools will steadily increase, along with their confidence in their efficacy. The book treats the two-electron atom as the simplest example of themany-electron atomas opposed to using techniques tha t are not applicable to many-electron atomsso that it is unnecessary to develop additional equations when turning to multielectron atoms, such as carbon. External fields aretreated using both perturbation theory and direct diagonalization and spontaneous emission is developed from first principles. Only diatomic molecules are considered with the hydrogen molecular ion and neutral molecule treated in somedetail. This comprehensive coverage of the quantum mechanics of complex atoms and simple diatomic molec ules, developed from the very basic components, is extremely useful for students considering graduate studies in any area ofphysics |
Note: | Springer eBooks |
Contents: | Part I: Atoms |
Central Forces and Angular Momentum | |
Complex Atoms | |
Electro | |
and Magnetostatic Interactions | |
Transition Probabilities | |
Part II: Molecules | |
Electronic Structure of Diatomic Molecules | |
Vibrations and Rotations of Diatomic Molecules | |
Appendix A. Some Atomic Constants | |
Appendix B. Polynomials and Spherical Harmonics | |
Appendix C. Some Tensor Background | |
Appendix D. Magnetic Dipole Interaction Energy | |
ISBN: | 9781461466789 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Undergraduate Lecture Notes in Physics, 2192-4791 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Chemistry , Mathematical physics |
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Call number: | SPRINGER-2013-9781461463931:ONLINE Show nearby items on shelf |
Title: | Advances in Applied Mathematics and Approximation Theory [electronic resource] : Contributions from AMAT 2012 |
Author(s): |
George A Anastassiou Oktay Duman |
Date: | 2013 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Advances in Applied Mathematics and Approximation Theory: Contributions from AMAT 2012 is a collection of the bestarticlespresented at Applied Mathematics and Approximation Theory 2012, an international conference heldin Ankara, Turkey, May 17-20, 20 12. This volume brings together key work from authors in the field covering topics such as ODEs, PDEs, difference equations, applied analysis, computational analysis, signal theory, positive operators,statistical approximation, fuzzy approximation, fracti onal analysis, semigroups, inequalities, special functions and summability. The collection willbe a useful resource for researchers in applied mathematics, engineering andstatistics |
Note: | Springer eBooks |
Contents: | Approximation by Neural Networks Iterates. George A. Anastassiou |
Univariate Hardy Type Fractional Inequalities. George A. Anastassiou | |
Statistical Convergence on Time Scales and its Characterizations. Ceylan Turan and Oktay Duman | |
On the g | |
Jacobi Matrix Functions Bayram C ekim and Esra Erkus | |
Duman | |
Linear Combinations of Genuine Szasz | |
Mirakjan | |
Durrmeyer Operators. Margareta Heilmann and Gancho Tachev | |
Extensions of Schurs Inequality for the Leading Coefficient of Bounded Polynomials with Two Prescribed Zeros. Heinz | |
Joachim Rack | |
An Example of Optimal Nodes for Interpolati | |
ISBN: | 9781461463931 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Proceedings in Mathematics & Statistics, 2194-1009 : v41 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential Equations , Differential equations, partial |
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Call number: | SPRINGER-2013-9781447148630:ONLINE Show nearby items on shelf |
Title: | Symmetries, Integrable Systems and Representations [electronic resource] |
Author(s): |
Kenji Iohara Sophie Morier-Genoud Bertrand Rmy |
Date: | 2013 |
Publisher: | London : Springer London : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This volume is the result of two international workshops Infinite Analysis 11 Frontier of Integrability held at University of Tokyo, Japan in July 25th to 29th, 2011, and Symmetries, Integrable Systems andRepresentations held at Universit Claude Be rnard Lyon 1, France in December 13th to 16th, 2011. Included are research articles based on the talks presented at the workshops, latest results obtained thereafter, and some reviewarticles. The subjects discussed range across diverse areas such as algeb raic geometry, combinatorics, differential equations, integrable systems, representation theory, solvable lattice models and special functions. Through thesetopics, the readerwill find some recent developments in the field of mathematical physics and thei r interactions with several other domains |
Note: | Springer eBooks |
Contents: | A presentation of the deformed W1+1 algebra |
Generating series of the Poincar polynomials of quasihomogeneous Hilbert schemes | |
PBW filtration over Z and compatible bases for VZ(_) in type An and Cn | |
On the subgeneric restricted blocks of affine category O at the critical level | |
Slavnov determinants, Yang | |
Mills structure constants, and discrete KP | |
Monodromy of partial KZ functors for rational Cherednik algebras | |
Category of finite dimensional modules over an orthosymplectic Lie superalgebra: small rank examples | |
Monoidal categorifications of cluster algebras of type A and D | |
ISBN: | 9781447148630 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Proceedings in Mathematics & Statistics, 2194-1009 : v40 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Algebra , Functions, special , Combinatorics , Mathematical physics |
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Call number: | SPRINGER-2012-9783642348853:ONLINE Show nearby items on shelf |
Title: | Analytic Tools for Feynman Integrals [electronic resource] |
Author(s): |
Vladimir A. Smirnov |
Date: | 2012 |
Publisher: | Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Monograph |
Note: | Springer 2012 Physics and Astronomy eBook collection |
Note: | Springer e-book platform |
ISBN: | 9783642348853 |
Series: | Springer Tracts in Modern Physics |
Series: | e-books |
Keywords: | Particle and Nuclear Physics , Quantum Physics , Field Theory and Polynomials , Numerical and Computational Physics |
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Call number: | SPRINGER-2012-9783642252952:ONLINE Show nearby items on shelf |
Title: | Mathematical Modeling for Complex Fluids and Flows [electronic resource] |
Author(s): |
Michel O Deville Thomas B Gatski |
Date: | 2012 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Mathematical Modeling for Complex Fluids and Flows provides researchers and engineering practitioners encountering fluid flows with state-of-the-art knowledge in continuum concepts and associated fluid dynamics. In doing so itsupplies the means to de sign mathematical models of these flows that adequately express the engineering physics involved. It exploits the implicit link between the turbulent flow of classical Newtonian fluids and the laminar andturbulent flow of non-Newtonian fluids such as thos e required in food processing and polymeric flows. The book develops a descriptive mathematical model articulated through continuum mechanics concepts for these non-Newtonian,viscoelastic fluids and turbulent flows. Each complex fluid and flow is examined in this continuum context as well as in combination with the turbulent flow of viscoelastic fluids. Some details are also explored via kinetic theory,especially viscoelastic fluids and their treatment with the Boltzmann equation. Both solution and modeli ng strategies for turbulent flows are laid out using continuum concepts, including a description of constructing polynomialrepresentations and accounting for non-inertial and curvature effects. Ranging from fundamental concepts to practical methodology, a nd including discussion of emerging technologies, this book is ideal for those requiring asingle-source assessment of current practice in this intricate yet vital field |
Note: | Springer eBooks |
Contents: | 1. Introduction |
2. Tensor Analysis, Invariants, and Representations | |
3. Kinematics and Dynamics | |
4. Constitutive Equations: General Principles | |
5. Non | |
Newtonian and Viscoelastic Fluids | |
6. Turbulent Flows | |
7. The Boltzmann Equation | |
8. Properties of the Hermite Polynomials | |
Table of symbols | |
References | |
ISBN: | 9783642252952 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer simulation |
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Call number: | SPRINGER-2012-9783034804318:ONLINE Show nearby items on shelf |
Title: | A Comprehensive Treatment of q-Calculus [electronic resource] |
Author(s): |
Thomas Ernst |
Date: | 2012 |
Publisher: | Basel : Springer Basel : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | To date, the theoretical development of q-calculus has rested on a non-uniform basis. Generally, the bulky Gasper-Rahman notation was used, but the published works on q-calculus looked different depending on where and by whom theywere written. This c onfusion of tongues not only complicated the theoretical development but also contributed to q-calculus remaining a neglected mathematical field. This book overcomes these problems by introducing a new andinteresting notation for q-calculus based on logar ithms. For instance, q-hypergeometric functions are now visually clear and easy to trace back to their hypergeometric parents. With this new notation it is also easy to see theconnection between q-hypergeometric functions and the q-gamma function, somethi ng that until now has been overlooked. The book covers many topics on q-calculus, including special functions, combinatorics, and q-difference equations.Beyond a thorough review of the historical development of q-calculus, italso presents the domains of m odern physics for which q-calculus is applicable, such as particle physics and supersymmetry, to name just a few |
Note: | Springer eBooks |
Contents: | 1 Introduction |
2 The different languages of q | |
3 Pre q | |
Analysis | |
4 The q | |
umbral calculus and the semigroups. The Nrlund calculus of finite diff | |
5 q | |
Stirling numbers | |
6 The first q | |
functions | |
7 An umbral method for q | |
hypergeometric series | |
8 Applications of the umbral calculus | |
9 Ciglerian q | |
Laguerre polynomials | |
10 q | |
Jacobi polynomials | |
11 q | |
Legendre polynomials and Carlitz | |
AlSalam polynomials | |
12 q | |
functions of many variables | |
13 Linear partial q | |
difference equations | |
14 q | |
Calculus and physics | |
15 Appendix: Other philosophies | |
ISBN: | 9783034804318 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Functions, special , Number theory |
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Call number: | SPRINGER-2011-9783642194924:ONLINE Show nearby items on shelf |
Title: | Combinatorial Aspects of Commutative Algebra and Algebraic Geometry [electronic resource] : The Abel Symposium 2009 |
Author(s): |
Gunnar Flystad Trygve Johnsen Andreas Leopold Knutsen |
Date: | 2011 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
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Note: | The Abel Symposium 2009 Combinatorial aspects of Commutative Algebra and Algebraic Geometry, held at Voss, Norway, featured talks by leading researchers in the field. This is the proceedings of the Symposium, presentingcontributions on syzygies, trop ical geometry, Boij-Sderberg theory, Schubert calculus, and quiver varieties. The volume also includes an introductory survey on binomial ideals with applications to hypergeometric series, combinatorialgames and chemical reactions. The contributions pose interesting problems, and offer up-to-date research on some of the most active fields of commutative algebra and algebraic geometry with a combinatorial flavour |
Note: | Springer eBooks |
Contents: | The Cone of Betti Diagrams of Bigraded Artinian Modules of Codimension Two: M.Boij, G.Flystad |
Koszul Cycles: W.Bruns, A.Conca, T.Rmer | |
Boij | |
Sderberg Theory: D.Eisenbud, F | |
O.Schreyer | |
Powers of Componentwise Linear Ideals: J.Herzog, T.Hibi, H.Ohsugi | |
Modules With 1 | |
Dimensional Socle and Components of Lusztig Quiver Varieties in Type A.: J.Kamnitzer, C.Sadanand | |
Realization Spaces for Tropical Fans: E.Katz, S.Payne | |
A Relation Between Symmetric Polynomials and the Algebra of Classes, Motivated by Equivariant Schubert Calculus: D.Laksov | |
Theory and Applications of Lattice Po | |
ISBN: | 9783642194924 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Abel Symposia : v6 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Geometry, algebraic , Algebra , Combinatorics |
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Call number: | SPRINGER-2011-9783642156373:ONLINE Show nearby items on shelf |
Title: | The Mathematics of Knots [electronic resource] Theory and Application |
Author(s): |
Markus Banagl Denis Vogel |
Date: | 2011 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The present volume grew out of the Heidelberg Knot Theory Semester, organized by the editors in winter 2008/09 at Heidelberg University. The contributed papers bring the reader up to date on the currently most actively pursuedareas of mathematical kn ot theory and its applications in mathematical physics and cell biology. Both original research and survey articles are presented numerous illustrations support the text. The book will be of great interest toresearchers in topology, geometry, and mathemat ical physics, graduate students specializing in knot theory, and cell biologists interested in the topology of DNA strands |
Note: | Springer eBooks |
Contents: | Preface |
1 Knots, Singular Embeddings, and Monodromy | |
2 Lower Bounds on Virtual Crossing Number and Minimal Surface Genus | |
3 A Survey of Twisted Alexander Polynomials | |
4 On Two Categorifications of the Arrow Polynomial for Virtual Knots | |
5 An Adelic Extension of the Jones Polynomial | |
6 Legendrian Grid Number One Knots and Augmentations of their Differential Algebras | |
7 Embeddings of Four | |
Valent Framed Graphs into 2 | |
Surfaces | |
8 Geometric Topology and Field Theory on 3 | |
Manifolds | |
9 From Goeritz Matrices to Quasi | |
Alternating Links | |
10 An Overview of Property 2R | |
11 DNA, Knot | |
ISBN: | 9783642156373 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Contributions in Mathematical and Computational Sciences : v1 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Physiology Mathematics , Global differential geometry , Topology , Cell aggregation Mathematics |
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Call number: | SPRINGER-2010-9783834893291:ONLINE Show nearby items on shelf |
Title: | Discrete Mathematics in Statistical Physics [electronic resource] : Introductory Lectures |
Author(s): |
Martin Loebl |
Date: | 2010 |
Publisher: | Wiesbaden : Vieweg+Teubner |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The book first describes connections between some basic problems and technics of combinatorics and statistical physics. The discrete mathematics and physics terminology are related to each other. Using the establishedconnections, some exciting activi ties in one field are shown from a perspective of the other field. The purpose of the book is to emphasize these interactions as a strong and successful tool. In fact, this attitude has been a strongtrend in both research communities recently. It also nat urally leads to many open problems, some of which seem to be basic. Hopefully, this book will help making these exciting problems attractive to advanced students and researchers.Basic concepts - Introduction to Graph Theory - Trees and electrical networks Matroids - Geometric representations of graphs - Game of dualities - The zeta function and graph polynomials Knots - 2D Ising and dimer models -Advanced Graduate Students in Mathematics, Physics and Computer Sciences - Researchers Prof. Dr. Martin Loeb l, Dept. of Mathematics, Charles University, Prague |
Note: | Springer eBooks |
ISBN: | 9783834893291 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Algebra |
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Call number: | SPRINGER-2010-9783034601801:ONLINE Show nearby items on shelf |
Title: | Recent Advances in Operator Theory in Hilbert and Krein Spaces [electronic resource] |
Author(s): |
Jussi Behrndt Karl-Heinz Frster Carsten Trunk |
Date: | 2010 |
Publisher: | Basel : Birkhuser Basel |
Size: | 1 online resource |
Note: | Springer e-book platform |
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Note: | The present book is a memorial volume devoted to Peter Jonas. It displays recent advances in modern operator theory in Hilbert and Krein spaces and contains a collection of original research papers written by many well-knownspecialists in this field. The papers contain new results for problems close to the area of research of Peter Jonas: Spectral and perturbation problems for operators in inner product spaces, generalized Nevanlinna functions anddefinitizable functions, scattering theory, extension theory for symmetric operators, fixed points, hyperbolic matrix polynomials, moment problems, indefinite spectral and Sturm-Liouville problems, and invariant subspace problems. Thisbook is written for researchers and postgraduates interested in functional analysis and differential operators |
Note: | Springer eBooks |
ISBN: | 9783034601801 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Operator Theory: Advances and Applications : v198 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Operator theory |
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Call number: | SPRINGER-2010-9780817649388:ONLINE Show nearby items on shelf |
Title: | Representation Theory and Complex Geometry [electronic resource] |
Author(s): |
Neil Chriss Victor Ginzburg |
Date: | 2010 |
Edition: | 1st |
Publisher: | Boston : Birkhuser Boston |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This classic monograph provides an overview of modern advances in representation theory from a geometric standpoint. A geometrically-oriented treatment of the subject is very timely and has long been desired, especially since thediscovery of D-module s in the early 1980s and the quiver approach to quantum groups in the early 1990s. The techniques developed are quite general and can be successfully applied to other areas such as quantum groups, affine Liegroups, and quantum field theory. The first half of the book fills the gap between the standard knowledge of a beginner in Lie theory and the much wider background needed by the working mathematician. The book is largelyself-contained. . . . There is a nice introduction to symplectic geometry and a cha rming exposition of equivariant K-theory. Both are enlivened by examples related to groups. . . . An attractive feature is the attempt to convey someinformal 'wisdom' rather than only the precise definitions. As a number of results is due to the authors, one finds some of the original excitement. This is the only available introduction to geometric representation theory. . . it hasalready proved successful in introducing a new generation to the subject. --- Bulletin of the American Mathematical Society Th e authors have tried to help readers by adopting an informal and easily accessible style. . . . The book willprovide a guide to those who wish to penetrate into subject-matter which, so far, was only accessible in difficult papers. . . . The book is quite suitable as a basis for an advanced course or a seminar, devoted to the material of oneof the chapters of the book. --- Mededelingen van het Wiskundig Genootschap Represents an important and very interesting addition to the literature. --- Mathematical R eviews |
Note: | Springer eBooks |
Contents: | Preface |
Chapter 0. Introduction | |
Chapter 1. Symplectic Geometry | |
Chapter 2. Mosaic | |
Chapter 3. Complex Semisimple Groups | |
Chapter 4. Springer Theory | |
Chapter 5. Equivariant K | |
Theory | |
Chapter 6. Flag Varieties, K | |
Theory, and Harmonic Polynomials | |
Chapter 7. Hecke Algebras and K | |
Theory | |
Chapter 8. Representations of Convolution Algebras | |
Bibliography | |
ISBN: | 9780817649388 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Modern Birkhuser Classics |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Geometry, algebraic , Topological Groups , Cell aggregation Mathematics |
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Call number: | SPRINGER-2010-9780387894881:ONLINE Show nearby items on shelf |
Title: | Stochastic Partial Differential Equations [electronic resource] : A Modeling, White Noise Functional Approach |
Author(s): |
Helge Holden Bernt ksendal Jan Ube Tusheng Zhang |
Date: | 2010 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The first edition of Stochastic Partial Differential Equations: A Modeling, White Noise Functional Approach, gave a comprehensive introduction to SPDEs driven by space-time Brownian motion noise. In this, the second edition, theauthors extend the the ory to include SPDEs driven by space-time Lvy process noise, and introduce new applications of the field. Because the authors allow the noise to be in both space and time, the solutions to SPDEs are usually ofthe distribution type, rather than a classical random field. To make this study rigorous and as general as possible, the discussion of SPDEs is therefore placed in the context of Hida white noise theory. The key connection betweenwhite noise theory and SPDEs is that integration with respect to Browni an random fields can be expressed as integration with respect to the Lebesgue measure of the Wick product of the integrand with Brownian white noise, and similarlywith Lvy processes. The first part of the book deals with the classical Brownian motion case . The second extends it to the Lvy white noise case. For SPDEs of the Wick type, a general solution method is given by means of the Hermitetransform, which turns a given SPDE into a parameterized family of deterministic PDEs. Applications of this theory a re emphasized throughout. The stochastic pressure equation for fluid flow in porous media is treated, as areapplications to finance. Graduate students in pure and applied mathematics as well as researchers in SPDEs, physics, and engineering will find this introduction indispensible. Useful exercises are collected at the end of each chapter.From the reviews of the first edition: The authors have made significant contributions to each of the areas. As a whole, the book is well organized and very carefully w ritten and the details of the proofs are basically spelled out...This is a rich and demanding book It will be of great value for students of probability theory or SPDEs with an interest in the |
Note: | Springer eBooks |
Contents: | Preface to the Second Edition |
Preface to the First Edition | |
Introduction | |
Framework | |
Applications to stochastic ordinary differential equations | |
Stochastic partial differential equations driven by Brownian white noise | |
Stochastic partial differential equations driven by Lvy white noise | |
Appendix A. The Bochner | |
Minlos theorem | |
Appendix B. Stochastic calculus based on Brownian motion | |
Appendix C. Properties of Hermite polynomials | |
Appendix D. Independence of bases in Wick products | |
Appendix E. Stochastic calculus based on Lvy processes | |
References | |
List of frequently | |
ISBN: | 9780387894881 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Universitext |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential Equations , Differential equations, partial , Distribution (Probability theory) |
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Call number: | SPRINGER-2009-9783642008375:ONLINE Show nearby items on shelf |
Title: | Lectures on Topological Fluid Mechanics [electronic resource] |
Author(s): |
Mitchell A Berger Louis H Kauffman Boris Khesin H. Keith Moffatt Renzo L Ricca De Witt Sumners Renzo L Ricca |
Date: | 2009 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Helmholtz's seminal paper on vortex motion (1858) marks the beginning of what is now called topological fluid mechanics.After 150 years of work, the field has grown considerably. In the last several decades unexpected developmentshave given topologic al fluid mechanics new impetus, benefiting from the impressive progress in knot theory and geometric topology on the one hand, and in mathematical and computational fluid dynamics on the other. This volume containsa wide-ranging collection of up-to-date, valuable research papers written by some of the most eminent experts in the field. Topics range from fundamental aspects of mathematical fluid mechanics, including topological vortex dynamicsand magnetohydrodynamics, integrability issues, Hamiltonian stru ctures and singularity formation, to DNA tangles and knotted DNAs in sedimentation. A substantial introductory chapter on knots and links, covering elements of modernbraid theory and knot polynomials, as well as more advanced topics in knot classification , provides an invaluable addition to this material |
Note: | Springer eBooks |
Contents: | Braids and Knots |
Topological Quantities: Calculating Winding, Writhing, Linking, and Higher Order Invariants | |
Tangles, Rational Knots and DNA | |
The Group and Hamiltonian Descriptions of Hydrodynamical Systems | |
Singularities in Fluid Dynamics and their Resolution | |
Structural Complexity and Dynamical Systems | |
Random Knotting: Theorems, Simulations and Applications | |
ISBN: | 9783642008375 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Mathematics, 0075-8434 : v1973 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Differentiable dynamical systems , Differential equations, partial , Topology , Thermodynamics |
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Call number: | SPRINGER-2009-9780387894928:ONLINE Show nearby items on shelf |
Title: | Functional Equations and Inequalities with Applications [electronic resource] |
Author(s): |
Palaniappan Kannappan |
Date: | 2009 |
Publisher: | Boston, MA : Springer US |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Functional Equations and Inequalities with Applications presents a comprehensive, nearly encyclopedic, study of the classical topic of functional equations. Nowadays, the field of functional equations is an ever-growing branch ofmathematics with far- reaching applications it is increasingly used to investigate problems in mathematical analysis, combinatorics, biology, information theory, statistics, physics, the behavioral sciences, and engineering. Thisself-contained monograph explores all aspects of functional equations and their applications to related topics, such as differential equations, integral equations, the Laplace transformation, the calculus of finite differences, andmany other basic tools in analysis. Each chapter examines a particular f amily of equations and gives an in-depth study of its applications as well as examples and exercises to support the material. The book is intended as a referencetool for any student, professional (researcher), or mathematician studying in a field where fu nctional equations can be applied. It can also be used as a primary text in a classroom setting or for self-study. Finally, it could be aninspiring entre into an active area of mathematical exploration for engineers and other scientists who would benefit from this careful, rigorous exposition |
Note: | Springer eBooks |
Contents: | Basic Equations: Cauchy and Pexider Equations |
Matrix Equations | |
Trigonometric Functional Equations | |
Quadratic Functional Equations | |
Characterization of Inner Product Spaces | |
Stability | |
Characterization of Polynomials | |
Nondifferentiable Functions | |
Characterization of Groups, Loops, and Closure Conditions | |
Functional Equations from Information Theory | |
Abel Equations and Generalizations | |
Regularity ConditionsChristensen Measurability | |
Difference Equations | |
Characterization of Special Functions | |
Miscellaneous Equations | |
General Inequalities | |
Applications | |
ISBN: | 9780387894928 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Monographs in Mathematics, 1439-7382 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Functional equations , Functional analysis |
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Call number: | SPRINGER-2009-9780387747255:ONLINE Show nearby items on shelf |
Title: | A Concrete Introduction to Higher Algebra [electronic resource] |
Author(s): |
Lindsay N Childs |
Date: | 2009 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book is an informal and readable introduction to higher algebra at the post-calculus level. The concepts of ring and field are introduced through study of the familiar examples of the integers and polynomials. A strongemphasis on congruence clas ses leads in a natural way to finite groups and finite fields. The new examples and theory are built in a well-motivated fashion and made relevant by many applications - to cryptography, error correction,integration, and especially to elementary and compu tational number theory. The later chapters include expositions of Rabin's probabilistic primality test, quadratic reciprocity, the classification of finite fields, and factoringpolynomials over the integers. Over 1000 exercises, ranging from routine examp les to extensions of theory, are found throughout the book hints and answers for many of them are included in an appendix. The new edition includes topicssuch as Luhn's formula, Karatsuba multiplication, quotient groups and homomorphisms, Blum-Blum-Shub p seudorandom numbers, root bounds for polynomials, Montgomery multiplication, and more. At every stage, a wide variety ofapplications is presented...The user-friendly exposition is appropriate for the intended audience - T.W. Hungerford, Mathematical Revie ws The style is leisurely and informal, a guided tour through the foothills, the guide unable toresist numerous side paths and return visits to favorite spots... - Michael Rosen, American Mathematical Monthly |
Note: | Springer eBooks |
Contents: | Preface |
Numbers | |
Induction | |
Euclid's Algorithm | |
Unique Factorization | |
Congruence | |
Congruence Classes | |
Rings and Fields | |
Matrices and Codes | |
Fermat's and Euler's Theorems | |
Applications of Fermat's and Euler's Theorems | |
Groups | |
The Chinese Remainder Theorem | |
Polynomials | |
Unique Factorization | |
The Fundamental Theorem of Algebra | |
Polynomials in Q[x] | |
Congruences and the CRT | |
Fast Polynomial Multiplication | |
Cyclic Groups and Cryptography | |
Carmichael Numbers | |
Quadratic Reciprocity | |
Quadratic Applications | |
Congruence Classes Modulo a Polynomial | |
Homom | |
ISBN: | 9780387747255 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Undergraduate Texts in Mathematics, 0172-6056 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Algebra |
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Call number: | SPRINGER-2009-9780387689029:ONLINE Show nearby items on shelf |
Title: | Maximum Penalized Likelihood Estimation [electronic resource] : Volume II: Regression |
Author(s): |
Vincent N LaRiccia Paul P Eggermont |
Date: | 2009 |
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 the second volume of a text on the theory and practice of maximum penalized likelihood estimation. It is intended for graduate students in statistics, operations research and applied mathematics, as well as for researchersand practitioners in the field. The present volume deals with nonparametric regression. The emphasis in this volume is on smoothing splines of arbitrary order, but other estimators (kernels, local and global polynomials) pass review aswell. Smoothing splines and local polyno mials are studied in the context of reproducing kernel Hilbert spaces. The connection between smoothing splines and reproducing kernels is of course well-known. The new twist is that letting theinnerproduct depend on the smoothing parameter opens up new p ossibilities. It leads to asymptotically equivalent reproducing kernel estimators (without qualifications), and thence, via uniform error bounds for kernel estimators, touniform error bounds for smoothing splines and via strong approximations, to confiden ce bands for the unknown regression function. The reason for studying smoothing splines of arbitrary order is that one wants to use them for dataanalysis. Regarding the actual computation, the usual scheme based on spline interpolation is useful for cubic smoothing splines only. For splines of arbitrary order, the Kalman filter is the most important method, the intricacies ofwhich are explained in full. The authors also discuss simulation results for smoothing splines and local and global polynomials for a variety of test problems as well as results on confidence bands for the unknown regression functionbased on undersmoothed quintic smoothing splines with remarkably good coverage probabilities. P.P.B. Eggermont and V.N. LaRiccia are with the Statistics P rogram of the Department of Food and Resource Economics in the College ofAgriculture and Natural Resources at the University of Delaware, and the authors of Maximum Penalized Likelihood Estimation: Volu |
Note: | Springer eBooks |
Contents: | Smoothing splines of arbitrary order |
Deterministic and random designs | |
Reproducing kernel Hilbert spaces, equivalent reproducing kernel estimators | |
Strong approximation and confidence bands | |
Computing: the Bayesian model and the Kalman filter | |
Other estimators: kernels, sieves, local polynomials, least | |
absolute deviations, total | |
variation penalized least squares | |
Simulations and examples | |
ISBN: | 9780387689029 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Series in Statistics, 0172-7397 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Statistics , Biometrics , Statistical methods , Computer science Mathematics , Mathematical statistics , Econometrics |
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Call number: | SPRINGER-2008-9783540683490:ONLINE Show nearby items on shelf |
Title: | Interpolation Processes [electronic resource] : Basic Theory and Applications |
Author(s): |
Giuseppe Mastroianni Gradimir V Milovanovi |
Date: | 2008 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The classical books on interpolation address numerous negative results, i.e., results on divergent interpolation processes, usually constructed over some equidistant systems of nodes. The authors present, with complete proofs,recent results on conver gent interpolation processes, for trigonometric and algebraic polynomials of one real variable, not yet published in other textbooks and monographs on approximation theory and numerical mathematics. In thisspecial, but fundamental and important field of r eal analysis the authors present the state of art. Some 500 references are cited, including many new results of the authors. Basic tools in this field (orthogonal polynomials, moduli ofsmoothness, K-functionals, etc.) as well as some selected applications in numerical integration, integral equations, moment-preserving approximation and summation of slowly convergent series are also given. Beside the basic propertiesof the classical orthogonal polynomials the book provides new results on nonclassical ortho gonal polynomials including methods for their numerical construction |
Note: | Springer eBooks |
Contents: | 1. Constructive Elements and Approaches in Approximation Theory |
1.1 Introduction to Approximation Theory | |
1.2 Basic Facts on Trigonometric Approximation | |
1.3 Chebyshev Systems and Interpolation | |
1.4 Interpolation by Algebraic Polynomials | |
2. Orthogonal Polynomials and Weighted Polynomial Approximation | |
2.1 Orthogonal Systems and Polynomials | |
2.2 Orthogonal Polynomials on the Real Line | |
2.3 Classical Orthogonal Polynomials | |
2.4 Nonclassical Orthogonal Polynomials | |
2.5 Weighted Polynomial Approximation | |
3. Trigonometric Approximation | |
3.1 Approximating Properties of Oper | |
ISBN: | 9783540683490 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Monographs in Mathematics, 1439-7382 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Fourier analysis , Integral equations , Sequences (Mathematics) , Functions, special |
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Call number: | SPRINGER-2008-9783211742808:ONLINE Show nearby items on shelf |
Title: | Diophantine Approximation [electronic resource] : Festschrift for Wolfgang Schmidt |
Author(s): |
Hans Peter Schlickewei Klaus Schmidt Robert F Tichy |
Date: | 2008 |
Publisher: | Vienna : Springer Vienna |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This volume contains 21 research and survey papers on recent developments in the field of diophantine approximation. This includes contributions to Wolfgang Schmidt's subspace theorem and its applications to diophantine equationsand to the study of l inear recurring sequences. The articles are either in the spirit of more classical diophantine analysis or of geometric or combinatorial flavour. Several articles deal with estimates for the number of solutions ofdiophantine equations as well as with cong ruences and polynomials. Furthermore, the volume contains transcendence results for special functions and contributions to metric diophantine approximation and discrepancy theory. The articlesare based on lectures given at a conference at the Erwin Schrdi nger-Institute (Vienna, 2003), where many leading experts in the field of diophantine approximation participated |
Note: | Springer eBooks |
ISBN: | 9783211742808 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Developments in Mathematics, 1389-2177 : v16 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Algebra , Computer science Mathematics , 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 |
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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-2007-9780387498942: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-2006-9781846281815:ONLINE Show nearby items on shelf |
Title: | Fields and Galois Theory [electronic resource] |
Author(s): |
John M Howie |
Date: | 2006 |
Publisher: | London : Springer London |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The pioneering work of Abel and Galois in the early nineteenth century demonstrated that the long-standing quest for a solution of quintic equations by radicals was fruitless: no formula can be found. The techniques they usedwere, in the end, more im portant than the resolution of a somewhat esoteric problem, for they were the genesis of modern abstract algebra. This book provides a gentle introduction to Galois theory suitable for third- and fourth-yearundergraduates and beginning graduates. The appr oach is unashamedly unhistorical: it uses the language and techniques of abstract algebra to express complex arguments in contemporary terms. Thus the insolubility of the quintic byradicals is linked to the fact that the alternating group of degree 5 is s imple - which is assuredly not the way Galois would have expressed the connection. Topics covered include: rings and fields integral domains and polynomialsfield extensions and splitting fields applications to geometry finite fields the Galois group equat ions Group theory features in many of the arguments, and is fully explained in the text. Clear and careful explanations are backed upwith worked examples and more than 100 exercises, for which full solutions are provided |
Note: | Springer eBooks |
Contents: | Rings and Fields |
Integral Domains Polynomials | |
Field Extensions | |
Applications to Geometry | |
Splitting Fields | |
Finite Fields | |
The Galois Group | |
Equations and Groups | |
Some Group Theory | |
Groups and Equations | |
Regular Polygons | |
Solutions | |
Bibliography | |
List of Symbols | |
Index | |
ISBN: | 9781846281815 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Undergraduate Mathematics Series, 1615-2085 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Algebra , Field theory (Physics) |
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Call number: | SPRINGER-2006-9780817645298:ONLINE Show nearby items on shelf |
Title: | Basic Algebra [electronic resource] |
Author(s): |
Anthony W Knapp |
Date: | 2006 |
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 Basic Algebra: *Linear algebra and group theory build on each other continually *Chapters on modern algebra treat groups, rings, fields, modules, andGalois groups, with emphasis on methods of compu tation throughout *Three prominent themes recur and blend together at times: the analogy between integers and polynomials in one variable over a field, the interplay between linearalgebra and group theory, and the relationship between number theory and ge ometry *Many examples and hundreds of problems are included, along with a separate 90-page section giving hints or complete solutions for most of the problems*The exposition proceeds from the particular to the general, often providing examples well before a theory that incorporates them includes blocks of problems that introduce additional topics and applications for further study*Applications to science and engineering (e.g., the fast Fourier transform, the theory of error-correcting codes, the use of th e Jordan canonical form in solving linear systems of ordinary differential equations, and constructions ofinterest in mathematical physics) appear in sequences of problems Basic Algebra presents the subject matter in a forward-looking way that takes into account its historical development. It is suitable as a text in a two-semesteradvanced undergraduate or first-year graduate sequence in algebra, possibly supplemented by some material from Advanced Algebra at the graduate level. It requires of the reader only familiarity with matrix algebra, an understanding ofthe geometry and reduction of linear equations, and an acquaintance with proofs |
Note: | Springer eBooks |
Contents: | Preliminaries about the Integers, Polynomials, and Matrices |
Vector Spaces over ?, ?, and ? | |
Inner | |
Product Spaces | |
Groups and Group Actions | |
Theory of a Single Linear Transformation | |
Multilinear Algebra | |
Advanced Group Theory | |
Commutative Rings and Their Modules | |
Fields and Galois Theory | |
Modules over Noncommutative Rings | |
ISBN: | 9780817645298 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Cornerstones |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Algebra , Field theory (Physics) , Group theory , Matrix theory |
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Call number: | SPRINGER-2006-9780387367170:ONLINE Show nearby items on shelf |
Title: | Multiplicative Ideal Theory in Commutative Algebra [electronic resource] : A Tribute to the Work of Robert Gilmer |
Author(s): |
James W Brewer Sarah Glaz William J Heinzer Bruce M Olberding |
Date: | 2006 |
Publisher: | Boston, MA : Springer US |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | For over forty years, Robert Gilmers numerous articles and books have had a tremendous impact on research in commutative algebra. It is not an exaggeration to say that most articles published today in non-Noetherian ringtheory, and some in Noetherian ring theory as well, originated in a topic that Gilmer either initiated or enriched by his work. This volume, a tribute to his work, consists of twenty-four articles authored by Robert Gilmers mostprominent students and followers. These articles combine surveys of past work by Gilmer and others, recent results which have never before seen print, open problems, and extensive bibliographies. In a concluding article, Robert Gilmerpoints out directions for future research, highlighting the open problems in t he areas he considers of importance. Robert Gilmers article is followed by the complete list of his published works, his mathematical genealogical tree,information on the writing of his four books, and reminiscences about Robert Gilmers contributions to t he stimulating research environment in commutative algebra at Florida State in the middle 1960s. The entire collection providesan in-depth overview of the topics of research in a significant and large area of commutative algebra. Audience This book is int ended for researchers and graduate students in the field of commutative algebra |
Note: | Springer eBooks |
Contents: | Commutative rngs |
Robert Gilmers work on semigroup rings | |
Numerical semigroup algebras | |
Prfer rings | |
Subrings of zero | |
dimensional rings | |
Old problems and new questions around integer | |
valued polynomials and factorial sequences | |
Robert Gilmers contributions to the theory of integer | |
valued polynomials | |
Progress on the dimension question for power series rings | |
Some research on chains of prime ideals influenced by the writings of Robert Gilmer | |
Direct | |
sum decompositions over one | |
dimensional Cohen | |
Macaulay local rings | |
An historical overview of Kronecker function rings, | |
ISBN: | 9780387367170 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Algebra , Group theory |
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Call number: | SPRINGER-2006-9780387276786:ONLINE Show nearby items on shelf |
Title: | Field Theory [electronic resource] |
Author(s): |
Steven Roman |
Date: | 2006 |
Edition: | Second Edition |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book presents the basic theory of fields, starting more or less from the beginning. It is suitable for a graduate course in field theory, or independent study. The reader is expected to have taken an undergraduate course inabstract algebra, not so much for the material it contains but in order to gain a certain level of mathematical maturity. For this new edition, the author has rewritten the text based on his experiences teaching from the first edition.There are new exercises, a new chapter on Galois theory from an historical perspective, and additional topics sprinkled throughout the text, including a proof of the Fundamental Theorem of Algebra, a discussion of casus irreducibilis,Berlekamp's algorithm for factoring polynomials over Zp and nat ural and accessory irrationalities. From the reviews of the first edition: The book is written in a clear and explanatory style...the book is recommended for a graduatecourse in field theory as well as for independent study. - T. Albu, Mathematical Review s ...[the author] does an excellent job of stressing the key ideas. This book should not only work well as a textbook for a beginning graduatecourse in field theory, but also for a student who wishes to take a field theory course as independent study. - J .N.Mordeson, Zentralblatt |
Note: | Springer eBooks |
Contents: | Preliminaries |
Preliminaries | |
Field Extensions | |
Polynomials | |
Field Extensions | |
Embeddings and Separability | |
Algebraic Independence | |
Galois Theory | |
Galois Theory I: An Historical Perspective | |
Galois Theory II: The Theory | |
Galois Theory III: The Galois Group of a Polynomial | |
A Field Extension as a Vector Space | |
Finite Fields I: Basic Properties | |
Finite Fields II: Additional Properties | |
The Roots of Unity | |
Cyclic Extensions | |
Solvable Extensions | |
The Theory of Binomials | |
Binomials | |
Families of Binomials | |
ISBN: | 9780387276786 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Graduate Texts in Mathematics, 0072-5285 : v158 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Algebra , Field theory (Physics) , Number theory |
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Call number: | SPRINGER-2005-9780817644482:ONLINE Show nearby items on shelf |
Title: | Approximation Theory [electronic resource] : From Taylor Polynomials to Wavelets |
Author(s): |
Ole Christensen Khadija L Christensen |
Date: | 2005 |
Publisher: | Boston, MA : Birkhuser Boston : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This concisely written book gives an elementary introduction to a classical area of mathematicsapproximation theoryin a way that naturally leads to the modern field of wavelets. The exposition, driven by ideas rather thantechnical details and proofs, demonstrates the dynamic nature of mathematics and the influence of classical disciplines on many areas of modern mathematics and applications. Key features and topics: * Description of wavelets in wordsrather than mathematical symbols * Elementary intro duction to approximation using polynomials (Weierstrass and Taylors theorems) * Introduction to infinite series, with emphasis on approximation-theoretic aspects * Introductionto Fourier analysis * Numerous classical, illustrative examples and constructio ns * Discussion of the role of wavelets in digital signal processing and data compression, such as the FBIs use of wavelets to store fingerprints *Minimal prerequisites: elementary calculus * Exercises that may be used in undergraduate and graduate course s on infinite series and Fourier series Approximation Theory: From Taylor Polynomials to Wavelets will be an excellent textbookor self-study reference for students and instructors in pure and applied mathematics, mathematical physics, and engineering. Rea ders will find motivation and background material pointing toward advanced literature and research topicsin pure and applied harmonic analysis and related areas |
Note: | Springer eBooks |
Contents: | Preface |
Approximation with Polynomials | |
Infinite Series | |
Fourier Analysis | |
Wavelets and Applications | |
Wavelets and their Mathematical Properties | |
Appendix A | |
Appendix B | |
References | |
Index | |
ISBN: | 9780817644482 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Applied and Numerical Harmonic Analysis |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Harmonic analysis , Fourier analysis , Functional analysis |
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Call number: | SPRINGER-2005-9780817644475:ONLINE Show nearby items on shelf |
Title: | Number Fields and Function FieldsTwo Parallel Worlds [electronic resource] |
Author(s): |
Gerard Geer Ben Moonen Ren Schoof |
Date: | 2005 |
Publisher: | Boston, MA : Birkhuser Boston |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Ever since the analogy between number fields and function fields was discovered, it has been a source of inspiration for new ideas, and a long history has not in any way detracted from the appeal of the subject. As a deeperunderstanding of this analo gy could have tremendous consequences, the search for a unified approach has become a sort of Holy Grail. The arrival of Arakelov's new geometry that tries to put the archimedean places on a par with thefinite ones gave a new impetus and led to spectacula r success in Faltings' hands. There are numerous further examples where ideas or techniques from the more geometrically-oriented world of function fields have led to new insights inthe more arithmetically-oriented world of number fields, or vice versa. Th ese invited articles by leading researchers in the field explore various aspects of the parallel worlds of function fields and number fields. Topics range fromArakelov geometry, the search for a theory of varieties over the field with one element, via Eis enstein series to Drinfeld modules, and t-motives. This volume is aimed at a wide audience of graduate students, mathematicians, andresearchers interested in geometry and arithmetic and their connections. Contributors: G. Bckle T. van den Bogaart H. Brenn er F. Breuer K. Conrad A. Deitmar C. Deninger B. Edixhoven G. Faltings U. Hartl R. de Jong K.Khler U. Khn J.C. Lagarias V. Maillot R. Pink D. Roessler and A. Werner |
Note: | Springer eBooks |
Contents: | Arithmetic over Function Fields: A Cohomological Approach |
Algebraic Stacks Whose Number of Points over Finite Fields is a Polynomial | |
On a Problem of Miyaoka | |
Monodromy Groups Associated to Non | |
Isotrivial Drinfeld Modules in Generic Characteristic | |
Irreducible Values of Polynomials: A Non | |
Analogy | |
Schemes over | |
Line Bundles and p | |
Adic Characters | |
Arithmetic Eisenstein Classes on the Siegel Space: Some Computations | |
Uniformizing the Stacks of Abelian Sheaves | |
Faltings Delta | |
Invariant of a Hyperelliptic Riemann Surface | |
A Hirzebruch Proportionality Principle in Arakelov | |
ISBN: | 9780817644475 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Progress in Mathematics : v239 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Geometry, algebraic , Number theory , Mathematical physics |
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Call number: | SPRINGER-2005-9780387274751:ONLINE Show nearby items on shelf |
Title: | Undergraduate Algebra [electronic resource] |
Author(s): |
Serge Lang |
Date: | 2005 |
Edition: | Third Edition |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
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Note: | Undergraduate Algebra is a text for the standard undergraduate algebra course. It concentrates on the basic structures and results of algebra, discussing groups, rings, modules, fields, polynomials, finite fields, Galois Theory,and other topics. The author has also included a chapter on groups of matrices which is unique in a book at this level. Throughout the book, the author strikes a balance between abstraction and concrete results, which enhance eachother. Illustrative examples accompany the gene ral theory. Numerous exercises range from the computational to the theoretical, complementing results from the main text. For the third edition, the author has included new material onproduct structure for matrices (e.g. the Iwasawa and polar decompositio ns), as well as a description of the conjugation representation of the diagonal group. He has also added material on polynomials, culminating in Noah Snydersproof of the Mason-Stothers polynomial abc theorem. About the First Edition: The exposition is dow n-to-earth and at the same time very smooth. The book can be covered easily in a one-year course and can be also used in a one-termcourse...the flavor of modern mathematics is sprinkled here and there. - Hideyuki Matsumura, Zentralblatt |
Note: | Springer eBooks |
Contents: | Foreword |
The Integers | |
Groups | |
Rings | |
Polynomials | |
Vector Spaces and Modules | |
Some Linear Groups | |
Field Theory | |
Finite Fields | |
The Real and Complex Numbers | |
Sets | |
Appendix | |
Index | |
ISBN: | 9780387274751 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Undergraduate Texts in Mathematics, 0172-6056 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Algebra , Field theory (Physics) |
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Call number: | SPRINGER-2005-9780387235349:ONLINE Show nearby items on shelf |
Title: | Progress in Galois Theory [electronic resource] : Proceedings of John Thompsons 70th Birthday Conference |
Author(s): |
Helmut Voelklein Tanush Shaska |
Date: | 2005 |
Publisher: | Boston, MA : Springer US |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | A recent trend in the field of Galois theory is to tie the previous theory of curve coverings (mostly of the Riemann sphere) and Hurwitz spaces (moduli spaces for such covers) with the theory of algebraic curves and their modulispaces. A general surv ey of this is given in the article by Voelklein. Further exemplifications come in the articles of Guralnick on automorphisms of modular curves in positive characteristic, of Zarhin on the Galois module structureof the 2-division points of hyperelliptic cu rves and of Krishnamoorthy, Shashka and Voelklein on invariants of genus 2 curves. Abhyankar continues his work on explicit classes of polynomials in characteristic p>0 whose Glaois groupscomprise entire families of Lie type groups in characteristic p. In his article, he proves a characterization of sympletic groups required for the identification of the Galois group of certain polynomials. The more abstract aspectscome into play when considering the totality of Galois extensions of a given field. This le ads to the study of absolute Galois groups and (profinite) fundamental groups. Haran and Jarden present a result on the problem of finding agroup-theoretic characterization of absolute Galois groups. In a similar spirit, Boston studies infinite p-extensio ns of number fields unramified at p and makes a conjecture about a group-theoretic characterization of their Galoisgroups. He notes connections with the Fontaine-Mazur conjecture, knot theory and quantum field theory. Nakamura continues his work on relati onships between the absolute Galois group of the rationals and the Grothendieck-Teichmllergroup. Finally, Fried takes us on a tour of places where classical tropics like modular curves and j-line covers connect to the genus zero problems which was the sta rting point of the Guralnick-Thompson Conjecture. Audience This volumeis suitable for graduate students and researchers in the field |
Note: | Springer eBooks |
Contents: | Preface |
Supplementary Thoughts on Symplectic Groups | |
Automorphisms of the Modular Curve | |
Reducing the Fontaine | |
Mazur Conjecture to Group Theory | |
Relating Two Genus 0 Problems of John Thompson | |
Relatively Projective Groups as Absolute Galois Groups | |
Invariants of Binary Forms | |
Some Classical Views on the Parameters of GT | |
The Image of a Hurwitz Space under the Moduli Map | |
Very Simply Presentation: Variations on a Theme of Clifford | |
ISBN: | 9780387235349 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Developments in Mathematics, 1389-2177 : v12 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Algebra , Geometry, algebraic , Group theory |
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Call number: | SPRINGER-2004-9783662054123:ONLINE Show nearby items on shelf |
Title: | Proofs from THE BOOK |
Author(s): |
Martin Aigner |
Date: | 2004 |
Edition: | Third Edition |
Size: | 1 online resource (239 p.) |
Note: | 10.1007/978-3-662-05412-3 |
Contents: | Number Theory -- 1. Six proofs of the infinity of primes -- 2. Bertrand’s postulate -- 3. Binomial coefficients are (almost) never powers -- 4. Representing numbers as sums of two squares -- 5. Every finite division ring is a field -- |
6. Some irrational numbers -- 7. Three times ?2/6 -- Geometry -- 8. Hilbert’s third problem: decomposing polyhedra -- 9. Lines in the plane and decompositions of graphs -- 10. The slope problem -- 11. Three applications of Euler’s | |
formula -- 12. Cauchy’s rigidity theorem -- 13. Touching simplices -- 14. Every large point set has an obtuse angle -- 15. Borsuk’s conjecture -- Analysis -- 16. Sets, functions, and the continuum hypothesis -- 17. In praise of | |
inequalities -- 18. A theorem of Pólya on polynomials -- 19. On a lemma of Littlewood and Offord -- 20. Cotangent and the Herglotz trick -- 21. Buffon’s needle problem -- Combinatorics -- 22. Pigeon-hole and double counting -- 23. | |
Three famous theorems on finite sets -- 24. Shuffling cards -- 25. Lattice paths and determinants -- 26. Cayley’s formula for the number of trees -- 27. Completing Latin squares -- 28. The Dinitz problem -- 29. Identities versus | |
bijections -- Graph Theory -- 30. Five-coloring plane graphs -- 31. How to guard a museum -- 32. Turán’s graph theorem -- 33. Communicating without errors -- 34. Of friends and politicians -- 35. Probability makes counting (sometimes) | |
easy -- About the Illustrations | |
ISBN: | 9783662054123 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Computer science , Mathematical analysis , Analysis (Mathematics) , Geometry , Number theory , Combinatorics , Mathematics , Mathematics, general , Number Theory , Geometry , Combinatorics , Analysis , Computer Science, general |
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Call number: | SPRINGER-2004-9783540446460:ONLINE Show nearby items on shelf |
Title: | The Valuative Tree |
Author(s): |
Charles Favre |
Date: | 2004 |
Size: | 1 online resource (244 p.) |
Note: | 10.1007/b100262 |
Contents: | 1 Generalities -- 1.1 Setup -- 1.2 Valuations -- 1.3 Krull Valuations -- 1.4 Plane Curves -- 1.5 Examples of Valuations -- 1.6 Valuations Versus Krull Valuations -- 1.7 Sequences of Blowups and Krull Valuations -- 2 MacLane’s Method |
-- 2.1 Sequences of Key Polynomials -- 2.2 Classification -- 2.3 Graded Rings and Numerical Invariants -- 2.4 From Valuations to SKP’s -- 2.5 A Computation -- 3 Tree Structures -- 3.1 Trees -- 3.2 Nonmetric Tree Structure on V -- 3.3 | |
Parameterization of V by Skewness -- 3.4 Multiplicities -- 3.5 Approximating Sequences -- 3.6 Thinness -- 3.7 Value Semigroups and Approximating Sequences -- 3.8 Balls of Curves -- 3.9 The Relative Tree Structure -- 4 Valuations | |
Through Puiseux Series -- 4.1 Puiseux Series and Valuations -- 4.2 Tree Structure -- 4.3 Galois Action -- 4.4 A Tale of Two Trees -- 4.5 The Berkovich Projective Line -- 4.6 The Bruhat-Tits Metric -- 4.7 Dictionary -- 5 Topologies -- | |
5.1 The Weak Topology -- 5.2 The Strong Topology on V -- 5.3 The Strong Topology on Vqm -- 5.4 Thin Topologies -- 5.5 The Zariski Topology -- 5.6 The Hausdorff-Zariski Topology -- 5.7 Comparison of Topologies -- 6 The Universal Dual | |
Graph -- 6.1 Nonmetric Tree Structure -- 6.2 Infinitely Near Points -- 6.3 Parameterization and Multiplicity -- 6.4 The Isomorphism -- 6.5 Proof of the Isomorphism -- 6.6 Applications -- 6.7 The Dual Graph of the Minimal | |
Desingularization -- 6.8 The Relative Tree Structure -- 7 Tree Measures -- 7.1 Outline -- 7.2 More on the Weak Topology -- 7.3 Borel Measures -- 7.4 Functions of Bounded Variation -- 7.5 Representation Theorem I -- 7.6 Complex Tree | |
Potentials -- 7.7 Representation Theorem II -- 7.8 Atomic Measures -- 7.9 Positive Tree Potentials -- 7.10 Weak Topologies and Compactness -- 7.11 Restrictions to Subtrees -- 7.12 Inner Products -- 8 Applications of the Tree Analysis | |
-- 8.1 Zariski’s Theory of Complete Ideals -- 8.2 The Voûte étoilée -- A Infinitely Singular Valuations -- A.1 Characterizations -- A.2 Constructions -- B The Tangent Space at a Divisorial Valuation -- C Classification -- D | |
Combinatorics of Plane Curve Singularities -- D.1 Zariski’s Terminology for Plane Curve Singularities -- D.2 The Eggers Tree -- E.1 Completeness -- E.2 The Residue Field -- References | |
ISBN: | 9783540446460 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Mathematics: 1853 |
Keywords: | Mathematics , Algebraic geometry , Commutative algebra , Commutative rings , Topology , Discrete mathematics , Mathematics , Discrete Mathematics , Algebraic Geometry , Commutative Rings and Algebras , Topology |
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Call number: | SPRINGER-2004-9783034879347:ONLINE Show nearby items on shelf |
Title: | Polynomial Identity Rings |
Author(s): |
Vesselin Drensky |
Date: | 2004 |
Size: | 1 online resource (200 p.) |
Note: | 10.1007/978-3-0348-7934-7 |
Contents: | A Combinatorial Aspects in PI-Rings -- Vesselin Drensky -- 1 Basic Properties of PI-algebras -- 2 Quantitative Approach to PI-algebras -- 3 The Amitsur-Levitzki Theorem -- 4 Central Polynomials for Matrices -- 5 Invariant Theory of |
Matrices -- 6 The Nagata-Higman Theorem -- 7 The Shirshov Theorem for Finitely Generated PI-algebras -- 8 Growth of Codimensions of PI-algebras -- B Polynomial Identity Rings -- Edward Formanek -- 1 Polynomial Identities -- 2 The | |
Amitsur-Levitzki Theorem -- 3 Central Polynomials -- 4 Kaplansky’s Theorem -- 5 Theorems of Amitsur and Levitzki on Radicals -- 6 Posner’s Theorem -- 7 Every PI-ring Satisfies a Power of the Standard Identity -- 8 Azumaya Algebras -- 9 | |
Artin’s Theorem -- 10 Chain Conditions -- 11 Hilbert and Jacobson PI-Rings -- 12 The Ring of Generic Matrices -- 13 The Generic Division Ring of Two 2 x 2 Generic Matrices -- 14 The Center of the Generic Division Ring -- 15 Is the | |
Center of the Generic Division Ring a Rational Function Field? | |
ISBN: | 9783034879347 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Associative rings , Rings (Algebra) , Combinatorics , Mathematics , Associative Rings and Algebras , Combinatorics |
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Call number: | SPRINGER-2004-9781461302490:ONLINE Show nearby items on shelf |
Title: | Galois Theory and Modular Forms |
Author(s): | |
Date: | 2004 |
Size: | 1 online resource (394 p.) |
Note: | 10.1007/978-1-4613-0249-0 |
Contents: | I. Arithmetic geometry -- The arithmetic of Weierstrass points on modular curves X0(p) -- Semistable abelian varieties with small division fields -- Q-curves with rational j-invariants and jacobian surfaces of GL2-type -- Points |
defined over cyclic quartic extensions on an elliptic curve and generalized Kummer surfaces -- The absolute anabelian geometry of hyperbolic curves -- II. Galois groups and Galois extensions -- Regular Galois realizations of PSL2(p2) | |
over ?(T) -- Middle convolution and Galois realizations -- On the essential dimension of p-groups -- Explicit constructions of generic polynomials for some elementary groups -- On dihedral extensions and Frobenius extensions -- On the | |
non-existence of certain Galois extensions -- Frobenius modules and Galois groups -- III. Algebraic number theory -- On quadratic number fields each having an unramified extension which properly contains the Hilbert class field of its | |
genus field -- Distribution of units of an algebraic number field -- On capitulation problem for 3-manifolds -- On the Iwasawa ?-invariant of the cyclotomic ?p-extension of certain quartic fields -- IV. Modular forms and arithmetic | |
functions -- Quasimodular solutions of a differential equation of hypergeometric type -- Special values of the standard zeta functions -- p-adic properties of values of the modular j-function -- Thompson series and Ramanujan’s | |
identities -- Generalized Rademacher functions and some congruence properties | |
ISBN: | 9781461302490 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Developments in Mathematics: 11 |
Keywords: | Mathematics , Algebraic geometry , Algebra , Field theory (Physics) , Group theory , Mathematics , Field Theory and Polynomials , Algebraic Geometry , Group Theory and Generalizations |
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Call number: | SPRINGER-2004-9781461220589:ONLINE Show nearby items on shelf |
Title: | Approximation Theory Using Positive Linear Operators |
Author(s): |
Radu Păltănea |
Date: | 2004 |
Size: | 1 online resource (202 p.) |
Note: | 10.1007/978-1-4612-2058-9 |
Contents: | 1 Introduction -- 1.1 Operators and functionals. Moduli of continuity -- 1.2 Approximation of functions by sequences of positive linear operators -- 2 Estimates with Second Order Moduli -- 2.1 A general approach -- 2.2 Estimates with |
moduli ?2? and ?2? -- 2.3 Estimates with modulus ?2d -- 2.4 Estimates with modulus ?2dd -- 2.5 Estimates with Ditzian—Totik modulus -- 3 Absolute Optimal Constants -- 3.1 Introduction -- 3.2 Discrete functionals and the classical | |
second order modulus ?2 -- 3.3 General functionals and the second order modulus with parameter ?2? -- 4 Estimates for the Bernstein Operators -- 4.1 Various types of estimates -- 4.2 Best constant in the estimate with modulus ?2 -- 4.3 | |
Global smoothness preservation -- 5 Two Classes of Bernstein Type Operators -- 5.1 Generalized Brass type operators -- 5.2 Generalized Durrmeyer type operators -- 6 Approximation Operators for Vector-Valued Functions -- 6.1 | |
Approximation of functions with real argument -- 6.2 Approximation of functions with vector argument -- References | |
ISBN: | 9781461220589 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Algebra , Field theory (Physics) , Approximation theory , Functional analysis , Integral transforms , Operational calculus , Operator theory , Applied mathematics , Engineering mathematics , Mathematics , Approximations and Expansions , Field Theory and Polynomials , Functional Analysis , Integral Transforms, Operational Calculus , Operator Theory , Applications of Mathematics |
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Call number: | SPRINGER-2004-9781402026607:ONLINE Show nearby items on shelf |
Title: | P-adic Deterministic and Random Dynamics |
Author(s): |
Andrei Yu Khrennikov |
Date: | 2004 |
Size: | 1 online resource (270 p.) |
Note: | 10.1007/978-1-4020-2660-7 |
Contents: | 1. On Applications of P-Adic Analysis -- 2. P-Adic Numbers and P-Adic Analysis -- 3. P-Adic Dynamical Systems -- 4. Perturbation of Monomial Systems -- 5. Dynamical Systems in Finite Extensions of ? P -- 6. Conjugate Maps -- 7. P-Adic |
Ergodicity -- 8. P-Adic Neural Networks -- 9. Dynamics in Ultra-Pseudometric Spaces -- 10. Random Dynamics -- 11. Dynamics of Probability Distributions on the P-Adic Mental Space -- 12. Ultrametric Wavelets and Their Applications -- | |
13. Theory of P-Adic Valued Probability -- References | |
ISBN: | 9781402026607 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Mathematics and Its Applications : 574 |
Keywords: | Physics , Algebraic geometry , Algebra , Field theory (Physics) , Functional analysis , Mechanics , Cognitive psychology , Physics , Mechanics , Field Theory and Polynomials , Mathematical Methods in Physics , Cognitive Psychology , Functional Analysis , Algebraic Geometry |
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Call number: | SPRINGER-2004-9781402021879:ONLINE Show nearby items on shelf |
Title: | Abel’s Theorem in Problems and Solutions Based on the lectures of Professor V.I. Arnold |
Author(s): |
V.B Alekseev |
Date: | 2004 |
Size: | 1 online resource (270 p.) |
Note: | 10.1007/1-4020-2187-9 |
Contents: | From the contents: Preface for the English edition V.I. Arnold -- Preface -- Introduction -- 1: Groups -- 2: The complex numbers -- 3: Hints, Solutions and Answers -- Appendix. Solvability of equations by explicit formulae A. |
Khovanskii -- Bibliography -- Appendix V.I. Arnold -- Index | |
ISBN: | 9781402021879 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Algebra , Field theory (Physics) , Group theory , Topological groups , Lie groups , Functions of complex variables , Mathematics , Group Theory and Generalizations , Functions of a Complex Variable , Field Theory and Polynomials , Topological Groups, Lie Groups |
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Call number: | SPRINGER-2004-9781402020292:ONLINE Show nearby items on shelf |
Title: | Resolution of Curve and Surface Singularities in Characteristic Zero |
Author(s): |
K Kiyek |
Date: | 2004 |
Size: | 1 online resource (486 p.) |
Note: | 10.1007/978-1-4020-2029-2 |
Contents: | I Valuation Theory -- 1 Marot Rings -- 2 Manis Valuation Rings -- 3 Valuation Rings and Valuations -- 4 The Approximation Theorem For Independent Valuations -- 5 Extensions of Valuations -- 6 Extending Valuations to Algebraic |
Overfields -- 7 Extensions of Discrete Valuations -- 8 Ramification Theory of Valuations -- 9 Extending Valuations to Non-Algebraic Overfields -- 10 Valuations of Algebraic Function Fields -- 11 Valuations Dominating a Local Domain -- | |
II One-Dimensional Semilocal Cohen-Macaulay Rings -- 1 Transversal Elements -- 2 Integral Closure of One-Dimensional Semilocal Cohen-Macaulay Rings -- 3 One-Dimensional Analytically Unramified and Analytically Irreducible CM-Rings -- 4 | |
Blowing up Ideals -- 5 Infinitely Near Rings -- III Differential Modules and Ramification -- 1 Introduction -- 2 Norms and Traces -- 3 Formally Unramified and Unramified Extensions -- 4 Unramified Extensions and Discriminants -- 5 | |
Ramification For Quasilocal Rings -- 6 Integral Closure and Completion -- IV Formal and Convergent Power Series Rings -- 1 Formal Power Series Rings -- 2 Convergent Power Series Rings -- 3 Weierstraß Preparation Theorem -- 4 The | |
Category of Formal and Analytic Algebras -- 5 Extensions of Formal and Analytic Algebras -- V Quasiordinary Singularities -- 1 Fractionary Power Series -- 2 The Jung-Abhyankar Theorem: Formal Case -- 3 The Jung-Abhyankar Theorem: | |
Analytic Case -- 4 Quasiordinary Power Series -- 5 A Generalized Newton Algorithm -- 6 Strictly Generated Semigroups -- VI The Singularity Zq = XYp -- 1 Hirzebruch-Jung Singularities -- 2 Semigroups and Semigroup Rings -- 3 Continued | |
Fractions -- 4 Two-Dimensional Cones -- 5 Resolution of Singularities -- VII Two-Dimensional Regular Local Rings -- 1 Ideal Transform -- 2 Quadratic Transforms and Ideal Transforms -- 3 Complete Ideals -- 4 Factorization of Complete | |
Ideals -- 5 The Predecessors of a Simple Ideal -- 6 The Quadratic Sequence -- 7 Proximity -- 8 Resolution of Embedded Curves -- VIII Resolution of Singularities -- 1 Blowing up Curve Singularities -- 2 Resolution of Surface | |
Singularities I: Jung’s Method -- 3 Quadratic Dilatations -- 4 Quadratic Dilatations of Two-Dimensional Regular Local Rings -- 5 Valuations of Algebraic Function Fields in Two Variables -- 6 Uniformization -- 7 Resolution of Surface | |
Singularities II: Blowing up and Normalizing -- Appendices -- A Results from Classical Algebraic Geometry -- 1 Generalities -- 1.1 Ideals and Varieties -- 1.2 Rational Functions and Maps -- 1.3 Coordinate Ring and Local Rings -- 1.4 | |
Dominant Morphisms and Closed Embeddings -- 1.5 Elementary Open Sets -- 1.6 Varieties as Topological Spaces -- 1.7 Local Ring on a Subvariety -- 2 Affine and Finite Morphisms -- 3 Products -- 4 Proper Morphisms -- 4.1 Space of | |
Irreducible Closed Subsets -- 4.3 Proper Morphisms -- 5 Algebraic Cones and Projective Varieties -- 6 Regular and Singular Points -- 7 Normalization of a Variety -- 8 Desingularization of a Variety -- 9 Dimension of Fibres -- 10 | |
Quasifinite Morphisms and Ramification -- 10.1 Quasifinite Morphisms -- 10.2 Ramification -- 11 Divisors -- 12 Some Results on Projections -- 13 Blowing up -- 14 Blowing up: The Local Rings -- B Miscellaneous Results -- 1 Ordered | |
Abelian Groups -- 1.1 Isolated Subgroups -- 1.2 Initial Index -- 1.3 Archimedean Ordered Groups -- 1.4 The Rational Rank of an Abelian Group -- 2 Localization -- 3 Integral Extensions -- 4 Some Results on Graded Rings and Modules -- | |
4.1 Generalities -- 4.3 Homogeneous Localization -- 4.4 Integral Closure of Graded Rings -- 5 Properties of the Rees Ring -- 6 Integral Closure of Ideals -- 6.1 Generalities -- 6.2 Integral Closure of Ideals -- 6.3 Integral Closure of | |
Ideals and Valuation Theory -- 7 Decomposition Group and Inertia Group -- 8 Decomposable Rings -- 9 The Dimension Formula -- 10 Miscellaneous Results -- 10.1 The Chinese Remainder Theorem -- 10.2 Separable Noether Normalization -- 10.3 | |
The Segre Ideal -- 10.4 Adjoining an Indeterminate -- 10.5 Divisor Group and Class Group -- 10.6 Calculating a Multiplicity -- 10.7 A Length Formula -- 10.8 Quasifinite Modules -- 10.9 Maximal Primary Ideals -- 10.10 Primary | |
Decomposition in Non-Noetherian Rings -- 10.11 Discriminant of a Polynomial -- Index of Symbols | |
ISBN: | 9781402020292 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Algebras and Applications: 4 |
Keywords: | Mathematics , Algebraic geometry , Commutative algebra , Commutative rings , Algebra , Field theory (Physics) , Functions of complex variables , Mathematics , Algebraic Geometry , Commutative Rings and Algebras , Field Theory and Polynomials , Several Complex Variables and Analytic Spaces |
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Call number: | SPRINGER-2004-9780817681708:ONLINE Show nearby items on shelf |
Title: | Arithmetic of Higher-Dimensional Algebraic Varieties |
Author(s): | |
Date: | 2004 |
Edition: | 1 |
Size: | 1 online resource (287 p.) |
Note: | 10.1007/978-0-8176-8170-8 |
Contents: | Diophantine equations: progress and problems -- Rational points and analytic number theory -- Weak approximation on algebraic varieties -- Counting points on varieties using universal torsors -- The Cox ring of a Del Pezzo surface -- |
Counting rational points on threefolds -- Remarques sur l’approximation faible sur un corps de fonctions d’une variable -- K3 surfaces over number fields with geometric Picard number one -- Jumps in Mordell-Weil rank and Arithmetic | |
Surjectivity -- Universal torsors and Cox rings -- Random diophantine equations -- Descent on simply connected surfaces over algebraic number fields -- Rational points on compactifications of semi-simple groups of rank 1 -- Weak | |
Approximation on Del Pezzo surfaces of degree 4 -- Transcendental Brauer-Manin obstruction on a pencil of elliptic curves | |
ISBN: | 9780817681708 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Progress in Mathematics: 226 |
Keywords: | Mathematics , Algebraic geometry , Algebra , Field theory (Physics) , Functions of complex variables , Number theory , Mathematics , Number Theory , Algebraic Geometry , Field Theory and Polynomials , Several Complex Variables and Analytic Spaces |
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Call number: | SPRINGER-2004-9780387218311:ONLINE Show nearby items on shelf |
Title: | Integers, Polynomials, and Rings A Course in Algebra |
Author(s): |
Ronald S Irving |
Date: | 2004 |
Size: | 1 online resource (288 p.) |
Note: | 10.1007/b97633 |
Contents: | Introduction: The McNugget Problem -- Introduction: The McNugget Problem -- Integers -- Induction and the Division Theorem -- The Euclidean Algorithm -- Congruences -- Prime Numbers -- Rings -- Euler’ Theorem -- Binomial Coefficients |
-- Polynomials -- Polynomials and Roots -- Polynomials with Real Coefficients -- Polynomials with Rational Coefficients -- Polynomial Rings -- Quadratic Polynomials -- Polynomial Congruence Rings -- All Together Now -- Euclidean Rings | |
-- The Ring of Gaussian Integers -- Finite Fields | |
ISBN: | 9780387218311 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Algebra , Associative rings , Rings (Algebra) , Field theory (Physics) , Mathematics , Algebra , Associative Rings and Algebras , Field Theory and Polynomials |
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Call number: | SPRINGER-2004-9780306485176:ONLINE Show nearby items on shelf |
Title: | Applications of Fibonacci Numbers Volume 9: Proceedings of The Tenth International Research Conference on Fibonacci Numbers and Their Applications |
Author(s): | |
Date: | 2004 |
Publisher: | Dordrecht : Springer Netherlands |
Size: | 1 online resource (311 p.) |
Note: | 10.1007/978-0-306-48517-6 |
Contents: | Universal Bernoulli Polynomials and P-Adic Congruences -- A Generalization of Durrmeyer-Type Polynomials and their Approximation Properties -- Fibinomial Identities -- Recounting Binomial Fibonacci Identities -- The Fibonacci Diatomic |
Array Applied to Fibonacci Representations -- On Purple Parrots, Fibonacci Numbers, and Color Theory -- Finding Fibonacci in a Fractal -- Positive Integers (a2 + b2)/(ab + 1) are Squares -- On the Fibonacci Length of Powers of Dihedral | |
Groups -- Some Sums Related to Sums of Oresme Numbers -- Some Thoughts on Rook Polynomials on Square Chessboards -- Pythagorean Quadrilaterals -- A General Lacunary Recurrence Formula -- Ordering Words and Sets of Numbers: The | |
Fibonacci Case -- Some Basic Properties of a Tribonacci Line-Sequence -- A Type of Sequence Constructed from Fibonacci Numbers -- Cullen Numbers in Binary Recurrent Sequences -- A Generalization of Euler’s Formula and its Connection to | |
Fibonacci Numbers -- Extensions of Generalized Binomial Coefficients -- Some Parity Results Regarding t-Core Partitions -- Generalized Pell Numbers and Polynomials -- A Further Note on Lucasian Numbers -- Some Constructions and | |
Theorems in Goldpoint Geometry -- Some Applications of Triangle Transformations in Fibonacci Geometry -- Cryptography and Lucas Sequence Discrete Logarithms -- Divisibility of an F-L Type Convolution -- Generating Functions of | |
Convolution Matrices -- F-L Representation of Division of Polynomials over a Ring | |
ISBN: | 9780306485176 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Computer science , Algebra , Field theory (Physics) , Special functions , Number theory , Combinatorics , Mathematics , Number Theory , Combinatorics , Special Functions , Field Theory and Polynomials , Discrete Mathematics in Computer Science |
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Call number: | SPRINGER-2003-9789401703376:ONLINE Show nearby items on shelf |
Title: | Proceedings of the Third International Algebra Conference June 16–July 1, 2002 Chang Jung Christian University, Tainan, Taiwan |
Author(s): |
Yuen Fong |
Date: | 2003 |
Size: | 1 online resource (268 p.) |
Note: | 10.1007/978-94-017-0337-6 |
ISBN: | 9789401703376 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Associative rings , Rings (Algebra) , Commutative algebra , Commutative rings , Algebra , Field theory (Physics) , Group theory , Nonassociative rings , Mathematics , Field Theory and Polynomials , Commutative Rings and Algebras , Associative Rings and Algebras , Non-associative Rings and Algebras , Group Theory and Generalizations |
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Call number: | SPRINGER-2003-9783540450962:ONLINE Show nearby items on shelf |
Title: | Almost Ring Theory |
Author(s): | |
Date: | 2003 |
Size: | 1 online resource (318 p.) |
Note: | 10.1007/b10047 |
Contents: | Introduction -- Homological Theory -- Almost Ring Theory -- Fine Study of Almost Projective Modules -- Henselian Pairs -- Valuation Theory -- Analytic Geometry -- Appendix -- References -- Index |
ISBN: | 9783540450962 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Mathematics: 1800 |
Keywords: | Mathematics , Algebra , Algebraic geometry , Category theory (Mathematics) , Homological algebra , Commutative algebra , Commutative rings , Field theory (Physics) , Mathematics , Algebra , Commutative Rings and Algebras , Algebraic Geometry , Category Theory, Homological Algebra , Field Theory and Polynomials |
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