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Call number: | 3433030499:ONLINE Show nearby items on shelf |
Title: | Handbook of Tunneel Engineering II - Basics and Additional Services for Design and Construction |
Author(s): |
Maidl |
Date: | 2014 |
Publisher: | Ernst & Sohn |
Size: | 1 online resource (459 p.) |
ISBN: | 9783433030493 |
Series: | eBooks |
Series: | Wiley Online Library |
Series: | Wiley 2016 package purchase |
Keywords: | Civil Engineering & Construction |
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Call number: | SPRINGER-2016-9781493930111:ONLINE Show nearby items on shelf |
Title: | Building a Roll-Off Roof or Dome Observatory A Complete Guide for Design and Construction |
Author(s): |
John Stephen Hicks |
Date: | 2016 |
Edition: | 2nd ed. 2016 |
Size: | 1 online resource (147 p.) |
Note: | 10.1007/978-1-4939-3011-1 |
Contents: | The Benefits of a Permanent Observatory -- Pros and Cons – Roll-off Roof Type versus a Domed Observatory -- Questions to ask before you begin -- The Prestige of Ownership -- Site Requirements -- Ownership situations -- Roll-Off Roof |
Observatory -- Detailed construction drawings -- Photographs of finished Roll-off Observatories -- Domed Observatory -- Construction Details -- Photographs of Finished Domed Observatory -- How to Request Full-size Plans | |
ISBN: | 9781493930111 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Construction , Observations, Astronomical , Astronomy , Astronomy , Physics , Astronomy, Observations and Techniques , Popular Science in Astronomy , Basics of Construction |
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Call number: | SPRINGER-2014-9783764385040:ONLINE Show nearby items on shelf |
Title: | Kripkes Worlds [electronic resource] : An Introduction to Modal Logics via Tableaux |
Author(s): |
Olivier Gasquet Andreas Herzig Bilal Said Franois Schwarzentruber |
Date: | 2014 |
Publisher: | Basel : Springer Basel : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Possible worlds models were introduced by Saul Kripke in the early 1960s. Basically, a possible worlds model is nothing but a graph with labelled nodes and labelled edges. Such graphs provide semantics for various modal logics(alethic, temporal, epis temic and doxastic, dynamic, deontic, description logics) and also turned out useful for other nonclassical logics (intuitionistic, conditional, several paraconsistent and relevant logics). All these logics havebeen studied intensively in philosophical an d mathematical logic and in computer science, and have been applied increasingly in domains such as program semantics, artificial intelligence, and more recently in the semantic web.Additionally, all these logics were also studied proof theoretically. The proof systems for modal logics come in various styles: Hilbert style, natural deduction, sequents, and resolution. However, it is fair to say that the mostuniform and most successful such systems are tableaux systems. Given a logic and a formula, they al low one to check whether there is a model in that logic. This basically amounts to trying to build a model for the formula by building atree. This book follows a more general approach by trying to build a graph, the advantage being that a graph is closer to a Kripke model than a tree. It provides a step-by-step introduction to possible worlds semantics (and by that tomodal and other nonclassical logics) via the tableaux method. It is accompanied by a piece of software called LoTREC (www.irit.fr/Lotrec). L oTREC allows to check whether a given formula is true at a given world of a given model and tocheck whether a given formula is satisfiable in a given logic. The latter can be done immediately if the tableau system for that logic has already been implement ed in LoTREC. If this is not yet the case LoTREC offers the possibility toimplement a tableau system in a relatively easy way via a simple, graph-based, interactive language. >dy> |
Contents: | Preface |
1 Modelling things with graphs | |
2 Talking about graphs | |
3 The basics of the model construction method | |
4 Logics with simple constraints on models | |
5 Logics with transitive accessibility relations | |
6 Model Checking | |
7 Modal logics with transitive closure | |
Bibliography | |
Index | |
ISBN: | 9783764385040 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Studies in Universal Logic |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Logic, Symbolic and mathematical |
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Call number: | SPRINGER-2014-9783319051109:ONLINE Show nearby items on shelf |
Title: | Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis [electronic resource] |
Author(s): |
Daniel Alpay Maria Elena Luna-Elizarrars Michael Shapiro Daniele C Struppa |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | This book provides the foundations for a rigorous theory of functional analysis with bicomplex scalars. It begins with a detailed study of bicomplex and hyperbolic numbers, and then defines the notion of bicomplex modules. Afterintroducing a number o f norms and inner products on such modules (some of which appear in this volume for the first time), the authors develop the theory of linear functionals and linear operators on bicomplex modules. All of this mayserve for many different developments, just like the usual functional analysis with complex scalars, and in this book it serves as the foundational material for the construction and study of a bicomplex version of the well known Schuranalysis |
Contents: | 1. Bicomplex and hyperbolic numbers |
2. Bicomplex functions and matrices | |
3. BC | |
modules | |
4. Norms and inner products on BC | |
modules | |
5. Linear functionals and linear operators on BC | |
modules | |
6. Schur analysis | |
ISBN: | 9783319051109 |
Series: | eBooks |
Series: | SpringerLink |
Series: | SpringerBriefs in Mathematics, 2191-8198 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Functional analysis , Functions of complex variables , Operator theory , Systems theory |
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Call number: | SPRINGER-2013-9781461448181:ONLINE Show nearby items on shelf |
Title: | Essential Statistical Inference [electronic resource] : Theory and Methods |
Author(s): |
Dennis D Boos L. A Stefanski |
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: | This book is for students and researchers who have had a first year graduate level mathematicalstatistics course. It covers classical likelihood, Bayesian, and permutation inferencean introduction to basic asymptoticdistribution theory and modern top ics like M-estimation,the jackknife, and the bootstrap. R code is woven throughout the text, and there are a large numberof examples and problems. An important goal has been to make the topicsaccessible to a wide audience, with little overt relianceon mea sure theory. A typical semester course consists of Chapters 1-6 (likelihood-based estimationand testing, Bayesian inference, basic asymptotic results) plus selectionsfrom M-estimation and related testing and resampling methodology. Dennis Boos and Len Ste fanski are professors in the Department of Statistics at North Carolina State.Their research has been eclectic, often with a robustness angle,although Stefanski is also known forresearch concentrated on measurement error, including a co-authored book on n on-linear measurementerror models. In recent years the authors have jointly worked on variable selection methods. |
Note: | Springer eBooks |
Contents: | Roles of Modeling in Statistical Inference |
Likelihood Construction and Estimation | |
Likelihood | |
Based Tests and Confidence Regions | |
Bayesian Inference | |
Large Sample Theory: The Basics | |
Large Sample Results for Likelihood | |
Based Methods | |
M | |
Estimation (Estimating Equations) | |
Hypothesis Tests under Misspecification and RelaxedAssumptions | |
Monte Carlo Simulation Studies | |
Jackknife | |
Bootstrap | |
Permutation and Rank Tests | |
Appendix: Derivative Notation and Formulas | |
References | |
Author Index | |
Example Index | |
R | |
code Index | |
Subject Index. | |
ISBN: | 9781461448181 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Texts in Statistics, 1431-875X : v120 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Statistics , Mathematical statistics |
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Call number: | SPRINGER-2013-9781447148357:ONLINE Show nearby items on shelf |
Title: | Dynamical Systems [electronic resource] : An Introduction |
Author(s): |
Luis Barreira Claudia Valls |
Date: | 2013 |
Publisher: | London : Springer London : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The theory of dynamical systems is a broad and active research subject with connections to most parts of mathematics. Dynamical Systems: An Introduction undertakes the difficult task to provide a self-contained and compactintroduction. Topics covered include topological, low-dimensional, hyperbolic and symbolic dynamics, as well as a brief introduction to ergodic theory. In particular, the authors consider topological recurrence, topological entropy,homeomorphisms and diffeomorphisms of the circle, S harkovski's ordering, the Poincar-Bendixson theory, and the construction of stable manifolds, as well as an introduction to geodesic flows and the study of hyperbolicity (the latteris often absent in a first introduction). Moreover, the authors introduce the basics of symbolic dynamics, the construction of symbolic codings, invariant measures, Poincar's recurrence theorem and Birkhoff's ergodic theorem. Theexposition is mathematically rigorous, concise and direct: all statements (except for some results f rom other areas) are proven. At the same time, the text illustrates the theory with many examples and 140 exercises of variable levelsof difficulty. The only prerequisites are a background in linear algebra, analysis and elementary topology. This is a tex tbook primarily designed for a one-semester or two-semesters course at the advanced undergraduate or beginninggraduate levels. It can also be used for self-study and as a starting point for more advanced topics |
Note: | Springer eBooks |
Contents: | Introduction |
Basic Notions and Examples | |
Topological Dynamics | |
Low | |
Dimensional Dynamics | |
Hyperbolic Dynamics I | |
Hyperbolic Dynamics II | |
Symbolic Dynamics | |
Ergodic Theory | |
ISBN: | 9781447148357 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Universitext, 0172-5939 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differentiable dynamical systems , Global analysis , Differential Equations |
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Call number: | SPRINGER-2012-9781461440420:ONLINE Show nearby items on shelf |
Title: | Lecture Notes on O-Minimal Structures and Real Analytic Geometry [electronic resource] |
Author(s): |
Chris Miller Jean-Philippe Rolin Patrick Speissegger |
Date: | 2012 |
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: | This volume was produced in conjunction with the Thematic Program in o-Minimal Structures and Real Analytic Geometry, held from January to June of 2009 at the Fields Institute. Five of the six contributions consist of notes fromgraduate courses assoc iated with the program: Felipe Cano on a new proof of resolution of singularities for planar analytic vector fields Chris Miller on o-minimality and Hardy fields Jean-Philippe Rolin on the construction ofo-minimal structures from quasianalytic classes Fer nando Sanz on non-oscillatory trajectories of vector fields and Patrick Speissegger on pfaffian sets. The sixth contribution, by Antongiulio Fornasiero and Tamara Servi, is anadaptation to the nonstandard setting of A.J. Wilkie's construction of o-minimal structures from infinitely differentiable functions. Most of this material is either unavailable elsewhere or spread across many different sources such asresearch papers, conference proceedings and PhD theses. This book will be a useful tool for graduate students or researchers from related fields who want to learn about expansions of o-minimal structures by solutions, or imagesthereof, of definable systems of differential equations |
Note: | Springer eBooks |
Contents: | Preface |
Blowings | |
up of Vector Fields (F. Cano) | |
Basics of o | |
Minimality and Hardy Fields (C. Miller) | |
Construction of o | |
Minimal Structures from Quasianalytic Classes (J | |
P. Rolin) | |
Course on Non | |
Oscillatory Trajectories | |
F.S. Snchez) | |
Pfaffian Sets and o | |
Minimality (P. Speissegger) | |
Theorems of the Complement (A. Fornasiero, T. Servi) | |
ISBN: | 9781461440420 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Fields Institute Communications, 1069-5265 : v62 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Algebra , Group theory , Logic, Symbolic and mathematical |
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Call number: | SPRINGER-2012-9780817646622:ONLINE Show nearby items on shelf |
Title: | Self-adjoint Extensions in Quantum Mechanics [electronic resource] : General Theory and Applications to Schrdinger and Dirac Equations with Singular Potentials |
Author(s): |
D.M Gitman I.V Tyutin B.L Voronov |
Date: | 2012 |
Publisher: | Boston : Birkhuser Boston |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Quantization of physical systems requires a correct definition of quantum-mechanical observables, such as the Hamiltonian, momentum, etc., as self-adjoint operators in appropriate Hilbert spaces and their spectral analysis.Though a nave treatment exi sts for dealing with such problems, it is based on finite-dimensional algebra or even infinite-dimensional algebra with bounded operators, resulting in paradoxes and inaccuracies. A propertreatment of these problems requires invoking certain nontrivial n otions and theorems from functional analysis concerning the theory of unbounded self-adjoint operators and the theory of self-adjoint extensions of symmetric operators.Self-adjoint Extensions in Quantum Mechanics begins by considering quantization problem s in general, emphasizing the nontriviality of consistent operator construction by presenting paradoxes of the nave treatment. The necessarymathematical background is then built by developing the theory of self-adjoint extensions. Through examination of v arious quantum-mechanical systems, the authors show how quantization problems associated with the correct definitionof observables and their spectral analysis can be treated consistently for comparatively simple quantum-mechanical systems. Systems that ar e examined include free particles on an interval, particles in a number of potential fieldsincluding delta-like potentials, the one-dimensional Calogero problem, the AharonovBohm problem, and the relativistic Coulomb problem. This well-organized text is m ost suitable for graduate students and postgraduates interested indeepening their understanding of mathematical problems in quantum mechanics beyond the scope of those treated in standard textbooks. The book may also serve as a useful resource for mathema ticians and researchers in mathematical andtheoretical physics |
Note: | Springer eBooks |
Contents: | Introduction |
Linear Operators in Hilbert Spaces | |
Basics of Theory of s.a. Extensions of Symmetric Operators | |
Differential Operators | |
Spectral Analysis of s.a. Operators | |
Free One | |
Dimensional Particle on an Interval | |
One | |
Dimensional Particle in Potential Fields | |
Schrdinger Operators with Exactly Solvable Potentials | |
Dirac Operator with Coulomb Field | |
Schrdinger and Dirac Operators with Aharonov | |
Bohm and Magnetic | |
Solenoid Fields | |
ISBN: | 9780817646622 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Progress in Mathematical Physics : v62 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Operator theory , Quantum theory , Mathematical physics |
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Call number: | SPRINGER-2010-9783034602907:ONLINE Show nearby items on shelf |
Title: | Classification of Higher Dimensional Algebraic Varieties [electronic resource] |
Author(s): |
Christopher D Hacon Sndor Kovcs |
Date: | 2010 |
Publisher: | Basel : Birkhuser Basel |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book focuses on recent advances in the classification of complex projective varieties. It is divided into two parts. The first part gives a detailed account of recent results in the minimal model program. In particular, itcontains a complete pro of of the theorems on the existence of flips, on the existence of minimal models for varieties of log general type and of the finite generation of the canonical ring. The second part is an introduction to thetheory of moduli spaces. It includes topics suc h as representing and moduli functors, Hilbert schemes, the boundedness, local closedness and separatedness of moduli spaces and the boundedness for varieties of general type. The book isaimed at advanced graduate students and researchers in algebraic geo metry |
Note: | Springer eBooks |
Contents: | I Basics |
1 Introduction | |
2 Preliminaries | |
3 Singularities | |
3 Canonical singularities | |
II Recent advances in the MMP | |
4 Introduction | |
5 The main result | |
6 Multiplier ideal sheaves | |
7 Finite generation of the restricted algebra | |
7 Rationality of the restricted algebra | |
8 Log terminal models | |
9 Non | |
vanishing | |
10 Finiteness of log terminal models | |
11 Solutions and hints to some of the exercises | |
III Compact moduli spaces | |
12 Moduli problems | |
13 Hilbert schemes | |
14 The construction of the moduli space | |
15 Families and moduli functors | |
16 Subvarieties of modu | |
ISBN: | 9783034602907 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Oberwolfach Seminars : v41 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Geometry, algebraic |
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Call number: | SPRINGER-2009-9780817648770:ONLINE Show nearby items on shelf |
Title: | Delay Compensation for Nonlinear, Adaptive, and PDE Systems [electronic resource] |
Author(s): |
Miroslav Krstic |
Date: | 2009 |
Publisher: | Boston : Birkhuser Boston |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Some of the most common dynamic phenomena that arise in engineering practiceactuator and sensor delaysfall outside the scope of standard finite-dimensional system theory. The first attempt at infinite-dimensional feedbackdesign in the field of contro l systemsthe Smith predictorhas remained limited to linear finite-dimensional plants over the last five decades. Shedding light on new opportunities in predictor feedback, this book significantlybroadens the set of techniques available to a mathematician or engineer working on delay systems. The book is a collection of tools and techniques that make predictor feedback ideas applicable to nonlinear systems, systems modeled byPDEs, systems with highly uncertain or completely unknown input/output delays, and systems whose actuator or sensor dynamics are modeled by more general hyperbolic or parabolic PDEs, rather than by pure delay. Specific features andtopics include: * A construction of explicit Lyapunov functionals, which can be used in control design or stability analysis, leading to a resolution of several long-standing problems in predictor feedback. * A detailed treatment ofindividual classes of problemsnonlinear ODEs, parabolic PDEs, first-order hyperbolic PDEs, second-order hyperbolic PDEs, known ti me-varying delays, unknown constant delayswill help the reader master the techniques presented. *Numerous examples ease a student new to delay systems into the topic. * Minimal prerequisites: the basics of function spaces and Lyapunov theory for ODEs. * T he basics of Poincar and Agmon inequalities, Lyapunov and input-to-statestability, parameter projection for adaptive control, and Bessel functions are summarized in appendices for the readers convenience. Delay Compensation for Nonlinear, Adaptive, and PD E Systems is an excellent reference for graduatestudents, researchers, and practitioners in mathematics, systems control, as well as chemical, mechanical, electrical, computer, ae |
Note: | Springer eBooks |
Contents: | Preface |
Introduction | |
Part I. Linear Delay | |
ODE Cascades | |
Basic Predictor Feedback | |
Predictor Observers | |
Inverse Optimal Redesign | |
Robustness to Delay Mismatch | |
Time | |
Varying Delay | |
Part II. Adaptive Control | |
Delay | |
Adaptive Full | |
State Predictor Feedback | |
Delay | |
Adaptive Predictor with Estimation of Actuator State | |
Trajectory Tracking Under Unknown Delay and ODE Parameters | |
Part III. Nonlinear Systems | |
Nonlinear Predictor Feedback | |
Forward | |
Complete Systems | |
Strict | |
Feedforward Systems | |
Linearizable Strict | |
Feedforward Systems | |
Part IV. PDE | |
ODE Cascades | |
ODEs wit | |
ISBN: | 9780817648770 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Systems & Control: Foundations & Applications |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential Equations , Differential equations, partial , Systems theory |
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Call number: | SPRINGER-2009-9780387891033:ONLINE Show nearby items on shelf |
Title: | A Comprehensive Guide to Factorial Two-Level Experimentation [electronic resource] |
Author(s): |
Robert Mee |
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: | Factorial designs enable researchers to experiment with many factors. The 50 published examples re-analyzed in this guide attest to the prolific use of two-level factorial designs. As a testimony to this universal applicability,the examples come from diverse fields: Analytical Chemistry Animal Science Automotive Manufacturing Ceramics and Coatings Chromatography Electroplating Food Technology Injection Molding Marketing Microarray Processing Modeling andNeural Networks Organic Chemistry Product Testi ng Quality Improvement Semiconductor Manufacturing Transportation Focusing on factorial experimentation with two-level factors makes this book unique, allowing the only comprehensivecoverage of two-level design construction and analysis. Furthermore, sinc e two-level factorial experiments are easily analyzed using multiple regression models, this focus on two-level designs makes the material understandable to awide audience. This book is accessible to non-statisticians having a grasp of least squares estim ation for multiple regression and exposure to analysis of variance. Robert W. Mee is Professor of Statistics at the University ofTennessee. Dr. Mee is a Fellow of the American Statistical Association. He has served on the Journal of Quality Technology (JQ T) Editorial Review Board and as Associate Editor for Technometrics. He received the 2004 Lloyd Nelson award,which recognizes the years best article for practitioners in JQT. This book contains a wealth of information, including recent results on the desi gn of two-level factorials and various aspects of analysis The examples areparticularly clear and insightful. (William Notz, Ohio State University One of the strongest points of this book for an audience of practitioners is the excellent collection of pub lished experiments, some of which didnt comeout as expected A statistically literate non-statistician who deals with experimental design will have plenty of motivation to read this |
Note: | Springer eBooks |
Contents: | Full Factorial Designs |
to Full Factorial Designs with Two | |
Level Factors | |
Analysis of Full Factorial Experiments | |
Common Randomization Restrictions | |
More Full Factorial Design Examples | |
Fractional Factorial Designs | |
Fractional Factorial Designs: The Basics | |
Fractional Factorial Designs for Estimating Main Effects | |
Designs for Estimating Main Effects and Some Two | |
Factor Interactions | |
Resolution V Fractional Factorial Designs | |
Augmenting Fractional Factorial Designs | |
Fractional Factorial Designs with Randomization Restrictions | |
More Fractional Factorial Design Examples | |
ISBN: | 9780387891033 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Statistics , Chemistry , Mechanical engineering , Industrial engineering , Marketing , Materials |
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Call number: | SPRINGER-2008-9783540776956:ONLINE Show nearby items on shelf |
Title: | Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms [electronic resource] |
Author(s): |
Rufus Bowen Jean-Ren Chazottes |
Date: | 2008 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | For this printing of R. Bowen's book, J.-R. Chazottes has retyped it in TeX for easier reading, thereby correcting typos and bibliographic details. From the Preface by D. Ruelle: Rufus Bowen has left us a masterpiece ofmathematical exposition... Here a number of results which were new at the time are presented in such a clear and lucid style that Bowen's monograph immediately became a classic. More than thirty years later, many new results have beenproved in this area, but the volume is as useful as ever because it remains the best introduction to the basics of the ergodic theory of hyperbolic systems. |
Note: | Springer eBooks |
Contents: | Preface to the 2nd edition by David Ruelle |
0. Introduction | |
1.Gibbs measures | |
A.Gibbs measures | |
B.Ruelle's Perron | |
Frobenius Theorem | |
C.Construction of Gibbs measures | |
D.Variational principle | |
E.Further properties | |
References | |
2.General thermodynamic formalism | |
A.Entropy | |
B.Pressure | |
C.Variational principle | |
D.Equilibrium states | |
References | |
3.Axiom A diffeomorphisms | |
A.Definition | |
B. Spectral decomposition | |
C.Markov partitions | |
D.Symbolic dynamics | |
References | |
4.Ergodic theory of Axiom A diffeomorphisms | |
A.Equilibrium states for basic sets | |
B.The | |
ISBN: | 9783540776956 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Mathematics, 0075-8434 : v470 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differentiable dynamical systems , Distribution (Probability theory) , Cell aggregation Mathematics |
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Call number: | SPRINGER-2008-9781402069499:ONLINE Show nearby items on shelf |
Title: | Handbook of Continued Fractions for Special Functions [electronic resource] |
Author(s): |
Annie Cuyt Vigdis Brevik Petersen Brigitte Verdonk Haakon Waadeland William B Jones |
Date: | 2008 |
Publisher: | Dordrecht : Springer Netherlands |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Special functions are pervasive in all fields of science and industry. The most well-known application areas are in physics, engineering, chemistry, computer science and statistics. Because of their importance, several books andwebsites (see for inst ance http: functions.wolfram.com) and a large collection of papers have been devoted to these functions. Of the standard work on the subject, namely the Handbook of Mathematical Functions with formulas, graphs andmathematical tables edited by Milton Abram owitz and Irene Stegun, the American National Institute of Standards claims to have sold over 700 000 copies! But so far no project has been devoted to the systematic study of continuedfraction representations for these functions. This handbook is the res ult of such an endeavour. We emphasise that only 10% of the continued fractions contained in this book, can also be found in the Abramowitz and Stegun project or atthe Wolfram website! |
Note: | Springer eBooks |
Contents: | Basic Theory |
Basics | |
Continued fraction representation of functions | |
Convergence criteria | |
Pad approximants | |
Moment theory and orthogonal functions | |
Numerics | |
Continued fraction construction | |
Truncation error bounds | |
Continued fraction evaluation | |
Special Functions | |
On tables and graphs | |
Mathematical constants | |
Elementary functions | |
Gamma function and related functions | |
Error function and related integrals | |
Exponential integrals and related functions | |
Hypergeometric functions | |
Confluent hypergeometric functions | |
Bessel functions | |
Probability functions | |
ISBN: | 9781402069499 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Science (General) , Computer science , Functions, special , Engineering , Engineering mathematics |
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Call number: | SPRINGER-2008-9780817646790:ONLINE Show nearby items on shelf |
Title: | Geometric Integration Theory [electronic resource] |
Author(s): |
Steven Krantz Harold Parks |
Date: | 2008 |
Publisher: | Boston : Birkhuser Boston |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This textbook introduces geometric measure theory through the notion of currents. Currentscontinuous linear functionals on spaces of differential formsare a natural language in which to formulate various types of extremalproblems arising in geometry, and can be used to study generalized versions of the Plateau problem and related questions in geometric analysis. Key features of Geometric Integration Theory: * Includes topics on the deformation theorem,the area and coarea formulas, the compactness the orem, the slicing theorem and applications to minimal surfaces * Applies techniques to complex geometry, partial differential equations, harmonic analysis, differential geometry, andmany other parts of mathematics * Provides considerable background materi al for the student Motivating key ideas with examples and figures, Geometric Integration Theory is a comprehensive introduction ideal for use in the classroom andfor self-study. The exposition demands minimal background, is self-contained and accessible, and thus is ideal for graduate students and researchers |
Note: | Springer eBooks |
Contents: | Preface |
Basics | |
Carathodorys Construction and Lower | |
Dimensional Measures | |
Invariant Meaures and the Construction of Haar Meaure | |
Covering Theorems and the Differentiation of Integrals | |
Analytical Tools: the Area Formula, the Coarea Formula, and Poincar Inequalities | |
The Calculus of Differential Forms and Stokess Theorem | |
Introduction to Currents | |
Currents and the Calculus of Variations | |
Regularity of Mass | |
Minimizing Currents | |
Appendix | |
References | |
Index of Notation | |
Index | |
ISBN: | 9780817646790 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Cornerstones |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Integral equations , Integral Transforms , Geometry , Discrete groups , Global differential geometry |
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Call number: | SPRINGER-2006-9783540334170:ONLINE Show nearby items on shelf |
Title: | Construction of Mappings for Hamiltonian Systems and Their Applications [electronic resource] |
Author(s): |
Sadrilla S Abdullaev |
Date: | 2006 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Based on the method of canonical transformation of variables and the classical perturbation theory, this innovative book treats the systematic theory of symplectic mappings for Hamiltonian systems and its application to the studyof the dynamics and c haos of various physical problems described by Hamiltonian systems. It develops a new, mathematically-rigorous method to construct symplectic mappings which replaces the dynamics of continuous Hamiltonian systemsby the discrete ones. Applications of the m apping methods encompass the chaos theory in non-twist and non-smooth dynamical systems, the structure and chaotic transport in the stochastic layer, the magnetic field lines in magneticallyconfinement devices of plasmas, ray dynamics in waveguides, etc. The book is intended for postgraduate students and researches, physicists and astronomers working in the areas of plasma physics, hydrodynamics, celestial mechanics,dynamical astronomy, and accelerator physics. It should also be useful for applied mathema ticians involved in analytical and numerical studies of dynamical systems |
Note: | Springer eBooks |
Contents: | Basics of Hamiltonian Mechanics |
Perturbation Theory for Nearly Integrable Systems | |
Mappings for Perturbed Systems | |
Method of Canonical Transformation for Constructing Mappings | |
Mappings Near Separatrix. Theory | |
Mappings Near Separatrix. Examples | |
The KAM Theory Chaos Nontwist and Nonsmooth Maps | |
Rescaling Invariance of Hamiltonian Systems Near Saddle Points | |
Chaotic Transport in Stochastic Layers | |
Magnetic Field Lines in Fusion Plasmas | |
Mapping of Field Lines in Ergodic Divertor Tokamaks | |
Mappings of Magnetic Field Lines in Poloidal Divertor Tokamaks | |
Miscellaneous | |
ISBN: | 9783540334170 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Physics, 0075-8450 : v691 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Mathematical physics , Plasma (Ionized gases) , Electrodynamics |
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Call number: | SPRINGER-2004-9783662073582:ONLINE Show nearby items on shelf |
Title: | Fuzzy Randomness Uncertainty in Civil Engineering and Computational Mechanics |
Author(s): |
Bernd Möller |
Date: | 2004 |
Size: | 1 online resource (336 p.) |
Note: | 10.1007/978-3-662-07358-2 |
Contents: | 1 Introduction -- 2 Mathematical Basics for the Formal Description of Uncertainty -- 3 Description of Uncertain Structural Parameters as Fuzzy Variables -- 4 Description of Uncertain Structural Parameters as Fuzzy Random Variables -- |
5 Fuzzy and Fuzzy Stochastic Structural Analysis -- 6 Fuzzy Probabilistic Safety Assessment -- 7 Structural Design Based on Clustering -- References | |
ISBN: | 9783662073582 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Probabilities , Statistics , Computational intelligence , Mechanics , Mechanics, Applied , Buildings , Building , Construction , Engineering, Architectural , Mathematics , Probability Theory and Stochastic Processes , Theoretical and Applied Mechanics , Computational Intelligence , Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Scien , Building Construction |
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Call number: | SPRINGER-2004-9780817681869:ONLINE Show nearby items on shelf |
Title: | Introduction to Vertex Operator Algebras and Their Representations |
Author(s): |
James Lepowsky |
Date: | 2004 |
Size: | 1 online resource (318 p.) |
Note: | 10.1007/978-0-8176-8186-9 |
Contents: | 1 Introduction -- 1.1 Motivation -- 1.2 Example of a vertex operator -- 1.3 The notion of vertex operator algebra -- 1.4 Simplification of the definition -- 1.5 Representations and modules -- 1.6 Construction of families of examples |
-- 1.7 Some further developments -- 2 Formal Calculus -- 2.1 Formal series and the formal delta function -- 2.2 Derivations and the formal Taylor Theorem -- 2.3 Expansions of zero and applications -- 3 Vertex Operator Algebras: The | |
Axiomatic Basics -- 3.1 Definitions and some fundamental properties -- 3.2 Commutativity properties -- 3.3 Associativity properties -- 3.4 The Jacobi identity from commutativity and associativity -- 3.5 The Jacobi identity from | |
commutativity -- 3.6 The Jacobi identity from skew symmetry and associativity -- 3.7 S3-symmetry of the Jacobi identity -- 3.8 The iterate formula and normal-ordered products -- 3.9 Further elementary notions -- 3.10 Weak nilpotence | |
and nilpotence -- 3.11 Centralizers and the center -- 3.12 Direct product and tensor product vertex algebras -- 4 Modules -- 4.1 Definition and some consequences -- 4.2 Commutativity properties -- 4.3 Associativity properties -- 4.4 | |
The Jacobi identity as a consequence of associativity and commutativity properties -- 4.5 Further elementary notions -- 4.6 Tensor product modules for tensor product vertex algebras -- 4.7 Vacuum-like vectors -- 4.8 Adjoining a module | |
to a vertex algebra -- 5 Representations of Vertex Algebras and the Construction of Vertex Algebras and Modules -- 5.1 Weak vertex operators -- 5.2 The action of weak vertex operators on the space of weak vertex operators -- 5.3 The | |
canonical weak vertex algebra ?(W) and the equivalence between modules and representations -- 5.4 Subalgebras of ?(W) -- 5.5 Local subalgebras and vertex subalgebras of ?(W) -- 5.6 Vertex subalgebras of ?(W) associated with the | |
Virasoro algebra -- 5.7 General construction theorems for vertex algebras and modules -- 6 Construction of Families of Vertex Operator Algebras and Modules -- 6.1 Vertex operator algebras and modules associated to the Virasoro algebra | |
-- 6.2 Vertex operator algebras and modules associated to affine Lie algebras -- 6.3 Vertex operator algebras and modules associated to Heisenberg algebras -- 6.4 Vertex operator algebras and modules associated to even lattices—the | |
setting -- 6.5 Vertex operator algebras and modules associated to even lattices—the main results -- 6.6 Classification of the irreducible L?(?, O)-modules for g finite-dimensional simple and ? a positive integer -- References | |
ISBN: | 9780817681869 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Progress in Mathematics : 227 |
Keywords: | Mathematics , Algebra , Associative rings , Rings (Algebra) , Topological groups , Lie groups , Operator theory , Physics , Mathematics , Algebra , Associative Rings and Algebras , Operator Theory , Topological Groups, Lie Groups , Theoretical, Mathematical and Computational Physics |
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Call number: | SPRINGER-2004-9780387216362:ONLINE Show nearby items on shelf |
Title: | Concert Halls and Opera Houses Music, Acoustics, and Architecture |
Author(s): |
Leo Beranek |
Date: | 2004 |
Edition: | Second Edition |
Size: | 1 online resource (662 p.) |
Note: | 10.1007/978-0-387-21636-2 |
Contents: | One Music and Acoustics -- What Are Good Acoustics? -- Acoustics and the Performers -- Acoustics and Musical Periods -- Acoustics and Listeners -- Two The Language of Musical Acoustics -- Definitions and Explanations of Selected Terms |
-- Three One Hundred Concert Halls and Opera Houses -- United States -- Argentina -- Australia -- Austria -- Belgium -- Brazil -- Canada -- China -- Denmark -- England -- Finland -- France -- Germany -- Greece -- Hungary -- Ireland -- | |
Israel -- Italy -- Japan -- Malaysia -- Mexico -- Netherlands -- New Zealand -- Norway -- Scotland -- Spain -- Sweden -- Switzerland -- Taiwan -- Venezuela -- Wales -- Four Acoustics of Concert Halls -- Rank-Orderings of Acoustical | |
Quality of 58 Concert Halls Developed from Interviews and Questionnaires -- Reverberation Time: Musicians Preferences -- Architectural Basics -- Physical Measures of Acoustical Quality -- Further Architectural Considerations -- | |
Architectural Design of Chamber Music Halls -- Concluding Remarks -- Five Acoustics of Opera Houses -- Questionnaire Rank-Orderings of Acoustical Quality of 21 Opera Houses -- Objective Measurements of the Acoustical Properties of 23 | |
Opera Houses -- Orchestra Pits -- Appendix 1 Terminology Definitions, and Conversion Factors -- Appendix 2 Acoustical Data for Concert Halls & Opera Houses -- Appendix 3 Equations, Technical Data, and Sound Ahsorption -- Name Index | |
ISBN: | 9780387216362 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Acoustics , Buildings , Building , Construction , Engineering, Architectural , Physics , Acoustics , Building Construction |
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Call number: | SPRINGER-2003-9781461302452:ONLINE Show nearby items on shelf |
Title: | Designs 2002 Further Computational and Constructive Design Theory |
Author(s): | |
Date: | 2003 |
Size: | 1 online resource (368 p.) |
Note: | 10.1007/978-1-4613-0245-2 |
Contents: | 1 The Existence of 2-SOLSSOMs -- 1 Introduction -- 2 Direct Constructions -- 3 Recursive Constructions -- 2 Conjugate Orthogonal Diagonal Latin Squares with Missing Subsquares -- 1 Introduction -- 2 Preliminaries -- 3 Direct |
Construction -- 4 Recursive Construction -- 5 A General Bound -- 6 The Case 2 ? n ? 6 -- 3 Combinatorial Trades: a Survey of Recent Results -- 1 Introduction and Preliminaries -- 2 Trades in designs -- 3 Trades in latin squares -- 4 | |
Trade uses -- 5 Latin representations and trades used in tripartite decompositions -- 6 ?-way trades -- 7 Graphical trades -- 8 Future directions -- 4 Two-stage Generalized Simulated Annealing for the Construction of Change-Over | |
Designs -- 1 Introduction -- 2 Notation and Definitions -- 3 A Two Stage Generalized Simulated Annealing Algorithm -- 4 Performance of the Two-Stage GSA -- 5 New Lower Bounds on the Maximum Number of Mutually Orthogonal Steiner Triple | |
Systems -- 1 Introduction -- 2 Starters over Finite Fields -- 3 Automorphisms and Hill-climbing -- 4 Conclusion -- 6 On minimal defining sets in AG(d, 3) -- 1 Background -- 2 Introduction -- 3 Further Preliminaries -- 4 Proof of the | |
Main Theorem -- 5 Sets of good hyperplanes in AG(d, 3) -- 6 Related critical sets -- 7 Appendix -- 7 Hadamard Matrices, Orthogonal designs and Construction Algorithms -- 1 Algorithms for constructing Hadamard matrices -- 2 On | |
inequivalent Hadamard matrices -- 3 Algorithms for constructing orthogonal designs -- 4 Short amicable sets and Kharaghani type orthogonal designs -- 8 Constructing a Class of Designs with Proportional Balance -- 1 Proportionally | |
balanced designs -- 2 The method of construction -- 3 Feasible parameters for ? = 2, 3 and 4 -- 4 Constructions motivated by Construction 5 -- 9 Constructions Using Balanced n-ary Designs -- 1 Introduction -- 2 Balanced n-ary Designs | |
-- 3 Our Construction -- 4 Some Examples -- 5 Some Non-existence Results -- 6 An Improved Construction -- 7 Quadratic Residues -- 8 Another Improvement -- 9 An Application -- 10 More Difference Families -- 10 Sets of Steiner Triple | |
Systems of Order 9 Revisited -- 1 Introduction -- 2 Large sets -- 3 Results -- 4 Uniformly intersecting sets -- 11 Solving Isomorphism Problems for t-Designs -- 1 Introduction -- 2 Basics -- 3 Moebius Inversions -- 4 Extensions of | |
designs -- 12 Finding Double Youden Rectangles -- 1 Introduction -- 2 Definitions and Literature -- 3 Examples -- 4 Searching for a 13-cyclic 13 ? 40 DYR -- 5 Isomorphism -- 6 Further Properties of our new DYRs -- 7 Check for Balance | |
-- 13 Kirkman Triple Systems and their Generalizations: A Survey -- 1 Introduction -- 2 Constructions for Kirkman Triple Systems and Nearly Kirkman Triple Systems for all admissible orders -- 3 Early Generalizations -- 4 Resolvable | |
Packings and Coverings of v points where v ? 0 (mod 3) -- 5 Other Generalizations -- 6 Conclusion and Acknowledgements | |
ISBN: | 9781461302452 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Mathematics and Its Applications : 563 |
Keywords: | Mathematics , Computers , Computer science , Combinatorics , Mathematics , Combinatorics , Theory of Computation , Discrete Mathematics in Computer Science |
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Call number: | SPRINGER-2003-9781461200536:ONLINE Show nearby items on shelf |
Title: | Ordered Sets An Introduction |
Author(s): |
Bernd S. W Schröder |
Date: | 2003 |
Size: | 1 online resource (391 p.) |
Note: | 10.1007/978-1-4612-0053-6 |
Contents: | 1 The Basics -- 1.1 Definition and Examples -- 1.2 The Diagram -- 1.3 Order-Preserving Mappings/Isomorphism -- 1.4 Fixed Points -- 1.5 Ordered Subsets/The Reconstruction Problem -- Exercises -- Remarks and Open Problems -- 2 Chains, |
Antichains and Fences -- 2.1 Chains and Zorn’s Lemma -- 2.2 Well-ordered Sets -- 2.3 A Remark on Duality -- 2.4 The Rank of an Element -- 2.5 Antichains and Dilworth’s Chain Decomposition Theorem -- 2.6 Dedekind Numbers -- 2.7 Fences | |
and Crowns -- 2.8 Connectivity -- Exercises -- Remarks and Open Problems -- 3 Upper and Lower Bounds -- 3.1 Extremal Elements -- 3.2 Covers -- 3.3 Lowest Upper and Greatest Lower Bounds -- 3.4 Chain-Completeness and the Abian-Brown | |
Theorem -- Exercises -- Remarks and Open Problems -- 4 Retractions -- 4.1 Definition and Examples -- 4.2 Fixed Point Theorems -- 4.3 Dismantlability -- 4.4 The Fixed Point Property for Ordered Sets of Width 2 or Height 1 -- 4.5 Li and | |
Milner’s Structure Theorem -- 4.6 Isotone Relations -- Exercises -- Remarks and Open Problems -- 5 Lattices -- 5.1 Definition and Examples -- 5.2 Fixed Point Results/The Tarski-Davis Theorem -- 5.3 Embeddings/The Dedekind-MacNeille | |
Completion -- 5.4 Irreducible Points in Lattices -- 5.5 Finite Ordered Sets vs. Distributive Lattices -- 5.6 More on Distributive Lattices -- Exercises -- Remarks and Open Problems -- 6 Truncated Lattices -- 6.1 Definition and Examples | |
-- 6.2 Recognizability and More -- 6.3 The Fixed Clique Property -- 6.4 Triangulations of Sn -- 6.5 Cutsets -- 6.6 Truncated Noncomplemented Lattices -- Exercises -- Remarks and Open Problems -- 7 The Dimension of Ordered Sets -- 7.1 | |
(Linear) Extensions of Orders -- 7.2 Balancing Pairs -- 7.3 Defining the Dimension -- 7.4 Bounds on the Dimension -- 7.5 Ordered Sets of Dimension 2 -- Exercises -- Remarks and Open Problems -- 8 Interval Orders -- 8.1 Definition and | |
Examples -- 8.2 The Fixed Point Property for Interval Orders -- 8.3 Dedekind’s Problem for Interval Orders and Reconstruction -- 8.4 Interval Dimension -- Exercises -- Remarks and Open Problems -- 9 Lexicographic Sums -- 9.1 Definition | |
and Examples -- 9.2 The Canonical Decomposition -- 9.3 Comparability Invariance -- 9.4 Lexicographic Sums and Reconstruction -- 9.5 An Almost Lexicographic Construction -- Exercises -- Remarks and Open Problems -- 10 Sets PQ = Hom(Q, | |
P) and Products -- 10.1 Sets PQ = Hom(Q, P) -- 10.2 Finite Products -- 10.3 Infinite Products -- 10.4 Hashimoto’s Theorem and Automorphisms of Products -- 10.5 Arithmetic of Ordered Sets -- Exercises -- Remarks and Open Problems -- 11 | |
Enumeration -- 11.1 Graded Ordered Sets -- 11.2 The Number of Graded Ordered Sets -- 11.3 The Asymptotic Number of Graded Ordered Sets -- 11.4 The Number of Nonisomorphic Ordered Sets -- 11.5 The Number of Automorphisms -- Exercises -- | |
Remarks and Open Problems -- 12 Algorithmic Aspects -- 12.1 Algorithms -- 12.2 Polynomial Efficiency -- 12.3 NP problems -- 12.4 NP-completeness -- 12.5 So It’s NP-complete -- 12.6 A Polynomial Algorithm for the Fixed Point Property in | |
Graded Ordered Sets of Bounded Width -- Exercises -- Remarks and Open Problems -- A A Primer on Algebraic Topology -- A.l Chain Complexes -- A.2 The Lefschetz Number -- A.3 (Integer) Homology -- A.4 A Homological Reduction Theorem -- | |
Remarks and Open Problems -- B Order vs. Analysis -- B.2 Fixed Point Theorems -- B.3 An Application -- Remarks and Open Problems -- References | |
ISBN: | 9781461200536 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Algebra , Ordered algebraic structures , Mathematical logic , Algebraic topology , Combinatorics , Mathematics , Mathematical Logic and Foundations , Order, Lattices, Ordered Algebraic Structures , Combinatorics , Algebraic Topology |
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Call number: | SPRINGER-2000-9781461205050:ONLINE Show nearby items on shelf |
Title: | Fourier and Wavelet Analysis |
Author(s): |
George Bachman |
Date: | 2000 |
Size: | 1 online resource (507 p.) |
Note: | 10.1007/978-1-4612-0505-0 |
Contents: | 1 Metrie and Normed Spaces -- 1.1 Metrie Spaces -- 1.2 Normed Spaces -- 1.3 Inner Product Spaces -- 1.4 Orthogonality -- 1.5 Linear Isometry -- 1.6 Holder and Minkowski Inequalities Lpand lpSpaces. -- 2 Analysis -- 2.1 Balls -- 2.2 |
Convergence and Continuity -- 2.3 Bounded Sets -- 2.4 Closure and Closed Sets -- 2.5 Open Sets -- 2.6 Completeness -- 2.7 Uniform Continuity -- 2.8 Compactness -- 2.9 Equivalent Norms -- 2.10 Direct Sums -- 3 Bases -- 3.1 Best | |
Approximation -- 3.2 Orthogonal Complements and the Projection Theorem -- 3.3 Orthonormal Sequences -- 3.4 Orthonormal Bases -- 3.5 The Haar Basis -- 3.6 Unconditional Convergence -- 3.7 Orthogonal Direct Sums -- 3.8 Continuous Linear | |
Maps -- 3.9 Dual Spaces -- 3.10 Adjoints -- 4 Fourier Series -- 4.1 Warmup -- 4.2 Fourier Sine Series and Cosine Series -- 4.3 Smoothness -- 4.4 The Riemann-Lebesgue Lemma -- 4.5 The Dirichlet and Fourier Kernels -- 4.6 Point wise | |
Convergence of Fourier Series -- 4.7 Uniform Convergence -- 4.8 The Gibbs Phenomenon -- 4.9 — Divergent Fourier Series -- 4.10 Termwise Integration -- 4.11 Trigonometric vs. Fourier Series -- 4.12 Termwise Differentiation -- 4.13 | |
Dido’s Dilemma -- 4.14 Other Kinds of Summability -- 4.15 Fejer Theory -- 4.16 The Smoothing Effect of (C, 1) Summation -- 4.17 Weierstrass’s Approximation Theorem -- 4.18 Lebesgue’s Pointwise Convergence Theorem -- 4.19 Higher | |
Dimensions -- 4.20 Convergence of Multiple Series -- 5 The Fourier Transform -- 5.1 The Finite Fourier Transform -- 5.2 Convolution on T -- 5.3 The Exponential Form of Lebesgue’s Theorem -- 5.4 Motivation and Definition -- 5.5 | |
Basics/Examplesv -- 5.6 The Fourier Transform and Residues -- 5.7 The Fourier Map -- 5.8 Convolution on R -- 5.9 Inversion, Exponential Form -- 5.10 Inversion, Trigonometric Form -- 5.11 (C, 1) Summability for Integrals -- 5.12 The | |
Fejer-Lebesgue Inversion Theorem -- 5.13 Convergence Assistance -- 5.14 Approximate Identity -- 5.15 Transforms of Derivatives and Integrals -- 5.16 Fourier Sine and Cosine Transforms -- 5.17 Parseval’s Identities -- 5.18 The L2Theory | |
-- 5.19 The Plancherel Theorem -- 5.20 Point wise Inversion and Summability -- 5.21 — Sampling Theorem -- 5.22 The Mellin Transform -- 5.23 Variations -- 6 The Discrete and Fast Fourier Transforms -- 6.1 The Discrete Fourier Transform | |
-- 6.2 The Inversion Theorem for the DFT -- 6.3 Cyclic Convolution -- 6.4 Fast Fourier Transform for N=2k -- 6.5 The Fast Fourier Transform for N=RC -- 7 Wavelets -- 7.1 Orthonormal Basis from One Function -- 7.2 Multiresolution | |
Analysis -- 7.3 Mother Wavelets Yield Wavelet Bases -- 7.4 From MRA to Mother Wavelet -- 7.5 Construction of — Scaling Function with Compact Support -- 7.6 Shannon Wavelets -- 7.7 Riesz Bases and MRAs -- 7.8 Franklin Wavelets -- 7.9 | |
Frames -- 7.10 Splines -- 7.11 The Continuous Wavelet Transform | |
ISBN: | 9781461205050 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Topological groups , Lie groups , Mathematical analysis , Analysis (Mathematics) , Functional analysis , Mathematics , Functional Analysis , Analysis , Topological Groups, Lie Groups |
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Call number: | SPRINGER-1999-9781461214106:ONLINE Show nearby items on shelf |
Title: | Particles and Fields |
Author(s): | |
Date: | 1999 |
Size: | 1 online resource (489 p.) |
Note: | 10.1007/978-1-4612-1410-6 |
Contents: | 1 Recent Developments in Affine Toda Quantum Field Theory -- 1 Introduction -- 2 Classical Integrability and Classical Data -- 3 Aspects of the Quantum Field Theory -- 4 Dual Pairs -- 5 A Word on Solitons -- 6 Other Matters -- 7 |
References -- 2 A Class of Fermi Liquids -- 1 Introduction -- 2 Four-Legged Diagrams -- 3 A Single-Slice Fermionic Cluster Expansion -- 4 References -- 3 Quantum Groups from Path Integrals -- 1 Classical Field Theory -- 2 Categories, | |
Finite Groups, and Covering Spaces -- 3 Generalized Path Integrals -- 4 The Quantum Group -- 5 References -- 4 Half Transfer Matrices in Solvable Lattice Models -- 1 The Six-Vertex Model -- 2 The Antiferromagnetic Regime -- 3 Corner | |
Transfer Matrix -- 4 Half Transfer Matrix -- 5 Commutation Relations -- 6 Correlation Functions -- 7 Two-Point Functions -- 8 Discussion -- 9 References -- 5 Matrix Models as Integrable Systems -- 1 Introduction -- 2 The Basic Example: | |
Discrete 1-Matrix Model -- 3 Generalized Kontsevich Model -- 4 Kp/Toda ?-Function in Terms of Free Fermions -- 5 ?-Function as a Group-Theoretical Quantity -- 6 Conclusion -- 7 References -- 6 Localization, Equivariant Cohomology, and | |
Integration Formulas 211 -- 1 Symplectic Geometry -- 2 Equivariant Cohomology -- 3 Duistermaat-Heckman Integration Formula -- 4 Degeneracies -- 5 Equivariant Characteristic Classes -- 6 Loop Space -- 7 Example: Atiyah-Singer Index | |
Theorem -- 8 Duistermaat-Heckman in Loop Space -- 9 General Integrable Models -- 10 Mathai-Quillen Formalism -- 11 Short Review of Morse Theory -- 12 Equivariant Mathai-Quillen Formalism -- 13 Equivariant Morse Theory -- 14 Loop Space | |
and Morse Theory -- 15 Loop Space and Equivariant Morse Theory -- 16 Poincaré Supersymmetry and Equivariant Cohomology. -- 17 References -- 7 Systems of Calogero-Moser Type -- 1 Introduction -- 2 Classical Nonrelativistic | |
Calogero-Moser and Toda Systems -- 3 Relativistic Versions at the Classical Level -- 4 Quantum Calogero-Moser and Toda Systems -- 5 Action-Angle Transforms -- 6 Eigenfunction Transforms -- 7 References -- 8 Discrete Gauge Theories -- 1 | |
Broken Symmetry Revisited -- 2 Basics -- 3 Algebraic Structure -- 4 $${\overline D _2}$$ Gauge Theory -- 5 Concluding Remarks and Outlook -- 6 References -- 9 Quantum Hall Fluids as W1+? Minimal Models -- 1 Introduction -- 2 Dynamical | |
Symmetry and Kinematics of Incompressible Fluids -- 3 Existing Theories of Edge Excitations and Experiments -- 4 W1+? Minimal Models -- 5 Further Developments -- 6 References -- 10 On the Spectral Theory of Quantum Vertex Operators 469 | |
Pavel I. Etingof -- 1 Basic Definitions -- 2 Spectral Properties of Vertex Operators -- 3 The Semi-Infinite Tensor Product Construction -- 4 Computation of the Leading Eigenvalue and Eigenvector -- 5 References | |
ISBN: | 9781461214106 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Physics , Theoretical, Mathematical and Computational Physics |
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Call number: | SPRINGER-1995-9783034892155:ONLINE Show nearby items on shelf |
Title: | Integral Equations Theory and Numerical Treatment |
Author(s): |
Wolfgang Hackbusch |
Date: | 1995 |
Size: | 1 online resource (362 p.) |
Note: | 10.1007/978-3-0348-9215-5 |
Contents: | 1 Introduction -- 1.1 Integral Equations -- 1.2 Basics from Analysis -- 1.3 Basics from Functional Analysis -- 1.4 Basics from Numerical Mathematics -- 2 Volterra Integral Equations -- 2.1 Theory of Volterra Integral Equations of the |
Second Kind -- 2.2 Numerical Solution by Quadrature Methods -- 2.3 Further Numerical Methods -- 2.4 Linear Volterra Integral Equations of Convolution Type -- 2.5 The Volterra Integral Equations of the First Kind -- 3 Theory of Fredholm | |
Integral Equations of the Second Kind -- 3.1 The Fredholm Integral Equation of the Second Kind -- 3.2 Compactness of the Integral Operator K -- 3.3 Finite Approximability of the Integral Operator K -- 3.4 The Image Space of K -- 3.5 | |
Solution of the Fredholm Integral Equation of the Second Kind -- 4 Numerical Treatment of Fredholm Integral Equations of the Second Kind -- 4.1 General Considerations -- 4.2 Discretisation by Kernel Approximation -- 4.3 Projection | |
Methods in General -- 4.4 Collocation Method -- 4.5 Galerkin Method -- 4.6 Additional Comments Concerning Projection Methods -- 4.7 Discretisation by Quadrature: The Nyström Method -- 4.8 Supplements -- 5 Multi-Grid Methods for Solving | |
Systems Arising from Integral Equations of the Second Kind -- 5.1 Preliminaries -- 5.2 Stability and Convergence (Discrete Formulation) -- 5.3 The Hierarchy of Discrete Problems -- 5.4 Two-Grid Iteration -- 5.5 Multi-Grid Iteration -- | |
5.6 Nested Iteration -- 6 Abel’s Integral Equation -- 6.1 Notations and Examples -- 6.2 A Necessary Condition for a Bounded Solution -- 6.3 Euler’s Integrals -- 6.4 Inversion of Abel’s Integral Equation -- 6.5 Reformulation for Kernels | |
k(x,y)/(x-y)? -- 6.6 Numerical Methods for Abel’s Integral Equation -- 7 Singular Integral Equations -- 7.1 The Cauchy Principal Value -- 7.2 The Cauchy Kernel -- 7.3 The Singular Integral Equation -- 7.4 Application to the Dirichlet | |
Problem for Laplace’s Equation -- 7.5 Hypersingular Integrals -- 8 The Integral Equation Method -- 8.1 The Single-Layer Potential -- 8.2 The Double-Layer Potential -- 8.3 The Hypersingular Integral Equation -- 8.4 Synopsis: Integral | |
Equations for the Laplace Equation -- 8.5 The Integral Equation Method for Other Differential Equations -- 9 The Boundary Element Method -- 9.1 Construction of the Boundary Element Method -- 9.2 The Boundary Elements -- 9.3 Multi-Grid | |
Methods -- 9.4 Integration and Numerical Quadrature -- 9.5 Solution of Inhomogeneous Equations -- 9.6 Computation of the Potential -- 9.7 The Panel Clustering Algorithm | |
ISBN: | 9783034892155 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | ISNM International Series of Numerical Mathematics : 120 |
Keywords: | Mathematics , Integral equations , Computer mathematics , Mathematics , Integral Equations , Computational Mathematics and Numerical Analysis |
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Call number: | SPRINGER-1995-9781461522133:ONLINE Show nearby items on shelf |
Title: | Wavelet Basics |
Author(s): |
Y. T Chan |
Date: | 1995 |
Size: | 1 online resource (134 p.) |
Note: | 10.1007/978-1-4615-2213-3 |
Contents: | 1. Introduction -- 1.1 Signal Transformation -- 1.2 Orthogonal Transform -- 1.3 Frames in Vector Space -- 1.4 Time-Frequency Analysis -- 1.5 Applications of Time-Frequency Analysis -- 2. Principles of the Wavelet Transform -- 2.1 |
Introduction -- 2.2 The Continuous Wavelet Transform -- 2.3 Discrete Parameter Wavelet Transform -- Appendix A - Resolution of the Identity -- 3. Multiresolution Analysis, Wavelets and Digital Filters -- 3.1 Introduction -- 3.2 The | |
DPWT and MRA -- 3.3 Principles of MRA -- 3.4 Filters for Perfect Reconstruction -- 3.5 Paraunitary Filters and Orthonormal Wavelets -- 3.6 Filter Design for Orthonormal Wavelets -- 3.7 Biorthogonal Filters -- 3.8 Wavelet Construction | |
from Two-Scale Equations -- 3.9 Two Dimensional Wavelets -- Appendix B - Theorem for Convergence of ?(?) -- Appendix C - Solution of a Polynomial in cos(?) -- 4. Current Topics -- 4.1 Wavelet Packets -- 4.2 Discrete Time Wavelet | |
Transform -- 4.3 Signal Processing Applications> -- References | |
ISBN: | 9781461522133 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Image processing , Mathematical analysis , Analysis (Mathematics) , Acoustics , Electrical engineering , Physics , Acoustics , Analysis , Signal, Image and Speech Processing , Image Processing and Computer Vision , Electrical Engineering |
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Call number: | SPRINGER-1994-9783642456886:ONLINE Show nearby items on shelf |
Title: | Compendium of Practical Astronomy Volume 1: Instrumentation and Reduction Techniques |
Author(s): | |
Date: | 1994 |
Size: | 1 online resource (540 p.) |
Note: | 10.1007/978-3-642-45688-6 |
Contents: | of Volume 1 -- 1 Introduction to Astronomical Literature and Nomenclature -- 1.1 Astronomy and the Observer -- 1.2 The Astronomy Library -- 1.3 Catalogues and Maps -- 1.4 Almanacs -- 1.5 Reduction of Observations -- 2 Fundamentals of |
Spherical Astronomy -- 2.1 Introduction -- 2.2 The Coordinates -- 2.3 Time and the Phenomena of Daily Motion -- 2.4 Changes in the Coordinates of a Star -- 2.5 Problems of the Calendar and Time Zones -- 2.6 The Variability of the Time | |
Systems -- 2.7 Spherical Trigonometry -- References -- 3 Applied Mathematics and Error Theory -- 3.1 Introduction -- 3.2 The Theory of Errors -- 3.3 Interpolation and Numerical Differentiation and Integration -- 3.4 Photographic | |
Astrometry -- 3.5 Determination of the Position and Brightness of Planets and of the Planetographic Coordinates -- 3.6 The Reduction of Stellar Occultations -- References -- 4 Optical Telescopes and Instrumentation -- 4.1 Introduction | |
-- 4.2 Basics of Optical Computation -- 4.3 Imaging Errors -- 4.4 Methods of Optical Testing -- 4.5 Telescope Systems -- 4.6 Telescope Performance -- 4.7 Accessories -- 4.8 Visual Observations -- 4.9 Photographic Plates and | |
Photoelectric Detectors -- 4.10 Services for Telescopes and Accessories -- References -- 5 Telescope Mountings, Drives, and Electrical Equipment -- 5.1 Introduction -- 5.2 Basic Types of Telescope Mountings -- 5.3 General Design | |
Criteria -- 5.4 Static Criteria of Telescope Mountings -- 5.5 Shafts and Bearings -- 5.6 The Foundation and Stability Against Tilting -- 5.7 Joining Elements -- 5.8 Measuring the Stiffness -- 5.9 Telescope Vibrations -- 5.10 Kinematic | |
Aspects of Telescope Mountings -- 5.11 Drives in Right Ascension and Declination -- 5.12 Photoelectric Guiding Systems -- 5.13 Adjust Elements and Telescope Alignment on the Celestial Pole -- 5.14 The Setting Circles and Their | |
Adjustment -- 5.15 Electrical Equipment -- 5.16 Comments on Literature Cited Here and in the Supplemental Reading List -- References -- 6 Astrophotography -- 6.1 Introduction -- 6.2 Cameras and Lenses -- 6.3 General Considerations -- | |
6.4 Stationary Cameras -- 6.5 Tracking Cameras -- 6.6 Long-Focus Astrophotography -- 6.7 Films for Astrophotography -- 6.8 Advanced Darkroom Techniques -- 6.9 Photographic Limiting Magnitude -- 6.10 Further Reading -- References -- 7 | |
Fundamentals of Spectral Analysis -- 7.1 Introduction -- 7.2 The Theory of Spectra -- 7.3 The Objects of Spectral Studies -- 7.4 Spectroscopic Instruments -- 7.5 The Analysis -- References -- 8 Principles of Photometry -- 8.1 | |
Introduction -- 8.2 Limits and Accuracies of Photometric Measurements -- 8.3 Astronomical Color Systems -- 8.4 The Technique and Planning of Observations -- 8.5 Reduction Techniques -- 8.6 Photometry of Different Astronomical Objects — | |
Generalities -- 8.7 Construction or Purchase of Receivers and Equipment for Reductions -- 8.8 General Literature on Photometry -- References -- 9 Fundamentals of Radio Astronomy -- 9.1 Introduction -- 9.2 Radio Radiation -- 9.3 | |
Atmospheric Influences -- 9.4 Instrumentation -- 9.5 The Objects of Observation -- 9.6 Tested Observing Systems -- 9.7 Amateur Radio Astronomy Groups -- References -- 10 Modern Sundials -- 10.1 Introduction -- 10.2 The Equinoxial Dial | |
-- 10.3 Horizontal Dials and Vertical East-West Dials -- 10.4 The Vertical Deviating Dial -- 10.5 Designs for Higher Accuracy -- References -- 11 An Historical Exploration of Modern Astronomy -- 11.1 Introduction -- 11.2 The | |
Heliocentric System -- 11.3 Evolution of the Theory of Motions -- 11.4 Cataloguing the Stellar Sky -- 11.5 Astrophysics -- 11.6 Stellar Evolution and Stellar Systems -- 11.7 Observations at Invisible Wavelengths and Space Exploration | |
-- 11.8 Research in Historical Astronomy -- References -- 12 Astronomy Education and Instructional Aids -- 12.1 Introduction -- 12.2 Formal Astronomy Education -- 12.3 Facilities and Services Available to Schools and the General Public | |
-- 12.4 Educational Resources in Astronomy -- References -- Appendix A: Educational Resources in Astronomy -- A.1 Planetariums, Museums, and Exhibits -- A.2 Observatories and Research Laboratories -- A.3 Astronomical Societies and | |
Clubs -- A.4 General List of Sources for Mechanical Models and Exhibit Items -- A.5 General List of Sources for Audio-Visual Aids -- A.6 Telescopes and Observing Equipment -- A.7 Printed Materials -- Supplemental Reading List for Vol. | |
1 | |
ISBN: | 9783642456886 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Geophysics , Observations, Astronomical , Astronomy , Astrophysics , Physics , Astronomy, Observations and Techniques , Astrophysics and Astroparticles , Geophysics/Geodesy |
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Call number: | SPRINGER-1994-9781461243144:ONLINE Show nearby items on shelf |
Title: | Algebraic K-Theory and Its Applications |
Author(s): |
Jonathan Rosenberg |
Date: | 1994 |
Size: | 1 online resource (394 p.) |
Note: | 10.1007/978-1-4612-4314-4 |
Contents: | 1. K0 of Rings -- 1. Defining K0 -- 2. K0 from idempotents -- 3. K0 of PIDs and local rings -- 4. K0 of Dedekind domains -- 5. Relative K0 and excision -- 6. An application: Swan’s Theorem and topological K- theory -- 7. Another |
application: Euler characteristics and the Wall finiteness obstruction -- 2.K1 of Rings -- 1. Defining K1 -- 2. K1 of division rings and local rings -- 3. 1 of PIDs and Dedekind domains -- 4. Whitehead groups and Whitehead torsion -- | |
5. Relative K1 and the exact sequence -- 3. K0 and K1 of Categories, Negative K-Theory -- 1. K0 and K1 of categories, Go and G1 of rings -- 2. The Grothendieck and Bass-Heller-Swan Theorems -- 3. Negative K-theory -- 4. Milnor’s K2 -- | |
1. Universal central extensions and H2 -- 2. The Steinberg group -- 3. Milnor’s K2 -- 4. Applications of K2 -- 5. The +?Construction and Quillen K-Theory -- 1. An introduction to classifying spaces -- 2. Quillen’s +?construction and | |
its basic properties -- 3. A survey of higher K-theory -- 6. Cyclic homology and its relation to K-Theory -- 1. Basics of cyclic homology -- 2. The Chern character -- 3. Some applications -- References -- Books and Monographs on | |
Related Areas of Algebra, Analysis, Number Theory, and Topology -- Books and Monographs on Algebraic K-Theory -- Specialized References -- Notational Index | |
ISBN: | 9781461243144 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Graduate Texts in Mathematics: 147 |
Keywords: | Mathematics , K-theory , Mathematics , K-Theory |
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Call number: | SPRINGER-1993-9789401116794:ONLINE Show nearby items on shelf |
Title: | Computer Simulation in Chemical Physics |
Author(s): | |
Date: | 1993 |
Size: | 1 online resource (519 p.) |
Note: | 10.1007/978-94-011-1679-4 |
Contents: | 1 The Monte Carlo Method -- 1.1 The Metropolis algorithm -- 1.2 Other ensembles -- 1.3 A non-symmetrical underlying matrix -- 1.4 Molecular systems -- 1.5 Polymers -- 1.6 Conclusions -- 2 The Molecular Dynamics Method -- 2.1 |
Introduction -- 2.2 Constraint dynamics -- 2.3 Long-range forces -- 2.4 Conclusions -- 3 Back to basics -- 3.1 Introduction -- 3.2 Average values, fluctuations and errors -- 3.3 Ensembles and distributions -- 3.4 Distribution functions | |
-- 3.5 Finite-size scaling and phase transitions -- 3.6 Transport coefficients -- 3.7 Conclusions -- 4 Advanced Monte Carlo Techniques -- 4.1 Introduction -- 4.2 Other ensembles -- 4.3 Virtual moves -- 4.4 Beyond single-particle moves | |
-- 4.5 Thermodynamic integration -- 4.6 The grand canonical miracle -- 5 Thermodynamic Constraints -- 5.1 Introduction -- 5.2 Andersen’s demon -- 5.3 Time and ensemble averages -- 5.4 Nosé-Hoover thermostat -- 5.5 Molecular systems -- | |
5.6 Numerical considerations -- 6 Computer Simulations in the Gibbs Ensemble -- 6.1 Introduction -- 6.2 Theoretical aspects -- 6.3 Computational aspects -- 6.4 Finite-size effects -- 6.5 Analyzing the results -- 6.6 Applications -- 7 | |
Effective Pair Potentials and Beyond -- 7.1 Introduction -- 7.2 Where potentials come from -- 7.3 Simple atomic and ionic systems -- 7.4 Molecular liquids and solids -- 7.5 Introducing electronic polarization -- 7.6 Bonded interactions | |
-- 7.7 Conclusion -- 8 First-Principles Molecular Dynamics -- 8.1 Introduction -- 8.2 First-principles interatomic potential -- 8.3 Molecular dynamics based on density functional theory -- 8.4 Practical implementation of a DF-MD scheme | |
-- 8.5 Selected applications of first-principles molecular dynamics -- 9 Computer Simulation Methods for Nonadiabatic Dynamics in Condensed Systems -- 9.1 Introduction -- 9.2 Formal background and basic principles -- 9.3 | |
Surface-hopping trajectory methods -- 9.4 Self-consistent energy-conserving nonadiabatic dynamics -- 9.5 Test problems and applications -- 9.6 Conclusions -- 10 Long Length-Scale Aspects of Self Organization Phenomena -- 10.1 | |
Introduction: an apologia -- 10.2 Universality and near universality -- 10.3 The nearest-neighbour Ising model as a computational model of simple fluids -- 10.4 Wheeler-Widom-type models as lattice fluids -- 10.5 Some tricks of the | |
trade Ising-like models -- 10.6 Analysis of Monte-Carlo data: finite-size scaling in Monte-Carlo simulations -- 10.7 Equilibrium simulation of Ising lattice model of microemulsion and the systematic construction of the phase diagram of | |
microemulsion -- 10.8 Conclusions -- 11 Computer Simulation of Polymers -- 11.1 Introduction -- 11.2 Polymer simulations: general considerations -- 11.3 Algorithms for static properties -- 11.4 Simulations of polymer dynamics -- 11.5 | |
Reptation -- 11.6 Extensions: glasses and networks -- 11.7 Further reading -- 11.8 Conclusions -- 12 Computer Simulations of Surfactants -- 12.1 Introduction -- 12.2 Surfactant monolayers -- 12.3 Micelles -- 12.4 Concluding remarks -- | |
13 Parallel Computing and Molecular Dynamics Simulations -- 13.1 Introduction -- 13.2 Computer architectures -- 13.3 Parallel programming concepts -- 13.4 Parallel molecular dynamics -- 13.5 Nucleation simulations -- 13.6 Conclusion -- | |
14 Scientific Visualization, A User View -- 14.1 Introduction -- 14.2 Discussion -- List of Participants -- List of Posters | |
ISBN: | 9789401116794 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | NATO ASI Series, Series C: Mathematical and Physical Sciences: 397 |
Keywords: | Physics , Chemoinformatics , Statistical physics , Dynamical systems , Materials science , Physics , Physics, general , Theoretical, Mathematical and Computational Physics , Statistical Physics, Dynamical Systems and Complexity , Characterization and Evaluation of Materials , Computer Applications in Chemistry |
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Call number: | SPRINGER-1992-9783642777394:ONLINE Show nearby items on shelf |
Title: | Introduction to the Theory of (Non-Symmetric) Dirichlet Forms |
Author(s): |
Zhi-Ming Ma |
Date: | 1992 |
Size: | 1 online resource (209 p.) |
Note: | 10.1007/978-3-642-77739-4 |
Contents: | 0 Introduction -- I Functional Analytic Background -- 1 Resolvents, semigroups, generators -- 2 Coercive bilinear forms -- 3 Closability -- 4 Contraction properties -- 5 Notes/References -- II Examples -- 1 Starting point: operator -- |
2 Starting point: bilinear form — finite dimensional case -- 3 Starting point: bilinear form — infinite dimensional case -- 4 Starting point: semigroup of kernels -- 5 Starting point: resolvent of kernels -- 6 Notes/References -- III | |
Analytic Potential Theory of Dirichlet Forms -- 1 Excessive functions and balayage -- 2 ?-exceptional sets and capacities -- 3 Quasi-continuity -- 4 Notes/References -- IV Markov Processes and Dirichlet Forms -- 1 Basics on Markov | |
processes -- 2 Association of right processes and Dirichlet forms -- 3 Quasi-regularity and the construction of the process -- 4 Examples of quasi-regular Dirichlet forms -- 5 Necessity of quasi-regularity and some probabilistic | |
potential theory -- 6 One-to-one correspondences -- 7 Notes/References -- V Characterization of Particular Processes -- 1 Local property and diffusions -- 2 A new capacity and Hunt processes -- 3 Notes/References -- VI Regularization | |
-- 1 Local compactification -- 2 Consequences — the transfer method -- 3 Notes/References -- A Some Complements -- 1 Adjoint operators -- 2 The Banach/Alaoglu and Banach/Saks theorems -- 3 Supplement on Ray resolvents and right | |
processes | |
ISBN: | 9783642777394 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Potential theory (Mathematics) , Probabilities , Mathematics , Probability Theory and Stochastic Processes , Potential Theory |
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Call number: | SPRINGER-1990-9783642514388:ONLINE Show nearby items on shelf |
Title: | Néron Models |
Author(s): |
Siegfried Bosch |
Date: | 1990 |
Size: | 1 online resource (328 p.) |
Note: | 10.1007/978-3-642-51438-8 |
Contents: | 1. What Is a Néron Model? -- 1.1 Integral Points -- 1.2 Néron Models -- 1.3 The Local Case: Main Existence Theorem -- 1.4 The Global Case: Abelian Varieties -- 1.5 Elliptic Curves -- 1.6 Néron’s Original Article -- 2. Some Background |
Material from Algebraic Geometry -- 2.1 Differential Forms -- 2.2 Smoothness -- 2.3 Henselian Rings -- 2.4 Flatness -- 2.5 S-Rational Maps -- 3. The Smoothening Process -- 3.1 Statement of the Theorem -- 3.2 Dilatation -- 3.3 Néron’s | |
Measure for the Defect of Smoothness -- 3.4 Proof of the Theorem -- 3.5 Weak Néron Models -- 3.6 Algebraic Approximation of Formal Points -- 4. Construction of Birational Group Laws -- 4.1 Group Schemes -- 4.2 Invariant Differential | |
Forms -- 4.3 R-Extensions of K-Group Laws -- 4.4 Rational Maps into Group Schemes -- 5. From Birational Group Laws to Group Schemes -- 5.1 Statement of the Theorem -- 5.2 Strict Birational Group Laws -- 5.3 Proof of the Theorem for a | |
Strictly Henselian Base -- 6. Descent -- 6.1 The General Problem -- 6.2 Some Standard Examples of Descent -- 6.3 The Theorem of the Square -- 6.4 The Quasi-Projectivity of Torsors -- 6.5 The Descent of Torsors -- 6.6 Applications to | |
Birational Group Laws -- 6.7 An Example of Non-Effective Descent -- 7. Properties of Néron Models -- 7.1 A Criterion -- 7.2 Base Change and Descent -- 7.3 Isogenies -- 7.4 Semi-Abelian Reduction -- 7.5 Exactness Properties -- 7.6 Weil | |
Restriction -- 8. The Picard Functor -- 8.1 Basics on the Relative Picard Functor -- 8.2 Representability by a Scheme -- 8.3 Representability by an Algebraic Space -- 8.4 Properties -- 9. Jacobians of Relative Curves -- 9.1 The Degree | |
of Divisors -- 9.2 The Structure of Jacobians -- 9.3 Construction via Birational Group Laws -- 9.4 Construction via Algebraic Spaces -- 9.5 Picard Functor and Néron Models of Jacobians -- 9.6 The Group of Connected Components of a | |
Néron Model -- 9.7 Rational Singularities -- 10. Néron Models of Not Necessarily Proper Algebraic Groups -- 10.1 Generalities -- 10.2 The Local Case -- 10.3 The Global Case | |
ISBN: | 9783642514388 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics: 21 |
Keywords: | Mathematics , Algebraic geometry , Mathematics , Algebraic Geometry |
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Call number: | QC761.3.M47::1996 Show nearby items on shelf |
Title: | Superconducting Accelerator Magnets |
Author(s): |
K.H.(Karl-Hubert) Mess P.(Peter) Schmuser S.(Siegfried) Wolff |
Date: | 1996 |
Publisher: | World Scientific: N.J. |
Size: | 218 pgs. |
Contents: | 1. Introduction, 2. Basics of Superconductivity, 3. Practical Superconductors for Accelerator Magnets, 4. Field Calcuations, 5. Mechanical Accuracies and Magnetic Forces, 6. Persistent Currents, 7. Eddy Current Effects in Superconducting Magnets, 8. quenches and Magnet Protection, 9. Impact of Field Errors on Accelerator Performance and Correction Schemes, 10. Construction Methods of Superconducting Accelerator Magnets |
Appendices: A. Techniques of Multipole Measurements, B. Stretched-Wire System for Quadrupole Measurements, C. passive Superconductor Magnetization in Beam-Pipe Coils, D. Approximate Relations for NbTi Critical Parameters, E. Helium Properties, F. Material Properties of Kapton, G. Collar and Yoke Material Properties | |
ISBN: | 9810227906 |
Keywords: | Superconducting magnets , Particle accelerators |
Availability: | Click
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Call number: | QC174.17.S9P65::2001 Show nearby items on shelf |
Title: | Supersymmetry : structure and phenomena : extensions of the standard model |
Author(s): |
Nir Polonsky 1964- |
Date: | 2001 |
Publisher: | Springer, Berlin |
Size: | 169 pgs. |
Contents: | Stepping Beyond the Standard Model.- Basic Ingredients.- The Hierarchy Problem and Beyond.- Supersymmetry Bottom-Up: Basics.- Bottom-Up Construction.- Supersymmetry.- Supersymmetrizing the Standard Model.- Supersymmetry Top-Down: Understanding the Weak Scale.- Unification.- The Heavy Top and Radiative Symmetry Breaking.- The Higgs Potential and the Light Higgs Boson.- An Organizing Principle.- The Flavor Problem.- Models.- Selected Topics.- Neutrinos.- Vacuum Stability.- Supersymmetry Breaking Operators.- N = 2 Supersymmetry |
ISBN: | 3540424423 |
Series: | Lecture notes in physics. Monographs, m68 |
Keywords: | Supersymmetry. |
Availability: | Click
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Call number: | QA76.73.C153S77::2013 Show nearby items on shelf |
Title: | The C++ programming language |
Author(s): |
Bjarne Stroustrup |
Date: | 2013 |
Edition: | Fourth edition. |
Publisher: | Upper Saddle River, NJ : Addison-Wesley |
Size: | 1346 p |
Contents: | Notes to the reader -- A tour of C++: the basics -- A tour of C++: abstraction mechanisms -- A tour of C++: containers and algorithms -- A tour of C++: concurrency and utilities -- Types and declarations -- Pointers, arrays, and references -- Struct ures, unions, and enumerations -- Statements --Expressions -- Select operations -- Functions -- Exception handling -- Namespaces -- Source files and programs -- Classes -- Construction, cleanup, copy, and move -- Overloading -- Special operators -- Derive d classes -- Class hierarchies -- Run-time type information-- Templates -- Generic programming -- Specialization -- Instantiation-- Templates and hierarchies -- Metaprogramming -- A matrix design -- Standard library summary -- STL containers -- STL algori thms -- STL iterators -- Memory and resources -- Utilities -- Strings -- Regular expressions -- I/O streams -- Locales -- Numeric --Concurrency -- Threads and tasks -- The C standard library -- Compatibility. |
ISBN: | 0321958322 |
Keywords: | C++ (Computer program language) |
Availability: | Click
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Location: | MAIN |
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