M. BRIN / University of Maryland, College Park
AND G. STUCK / University of Maryland, College Park
Introduction to Dynamical Systems
Description
This book provides a broad introduction to the subject of dynamical systems, suitable for a one- or two-semester graduate course. In the first chapter, the authors introduce over a dozen examples, and then use these examples throughout the book to motivate and clarify the development of the theory. Topics include topological dynamics, symbolic dynamics, ergodic theory, hyperbolic dynamics, one-dimensional dynamics, complex dynamics, and measure-theoretic entropy. The authors top off the presentation with some beautiful and remarkable applications of dynamical systems to such areas as number theory, data storage, and internet search engines. This book grew out of lecture notes from the graduate dynamical systems course at the University of Maryland, College Park, and reflects not only the tastes of the authors, but also to some extent the collective opinion of the Dynamics Group at the University of Maryland, which includes experts in virtually every major area of dynamical systems.
Contents
Introduction; 1. Examples and basic concepts; 2. Topological dynamics; 3. Symbolic dynamics; 4. Ergodic theory; 5. Hyperbolic dynamics; 6. Ergodicity of Anosov diffeomorphisms; 7. Low dimensional dynamics; 8. Complex dynamics; 9. Measure theoretic entropy; Index.
ISBN, Binding, 0-521-80841-3 Hardback
Approximate Publication Date: c.01/11/2002
E. Martin Peinador, J. Nunez Garcia (eds.)
Nuclear Groups and Lie Groups
Research and Exposition in Mathematics Volume 24
258 pages, soft cover, ISBN 3-88538-224-5
Contents
Foreword, v--viii
L. Aussenhofer: A Survey on Nuclear Groups 1--30 [Abstract]
W. Banaszczyk: Theorems of Bochner and Levy for Nuclear Groups 31--44 [Abstract]
O. Blasco: Bilinear Maps and Convolutions 45--56 [Abstract]
W. W. Comfort, S. Hernandez, D. Remus, F. J. Trigos-Arrieta:
Some Open Questions on Topological Groups 57--76 [Abstract]
E. Corbacho Rosas, D. Dikranjan, V. Tarieladze:
Absorption Adjunctable Semigroups 77--104 [Abstract]
D. Dikranjan:
The Lattice of Group Topologies and Compact Representations 105--126 [Abstract]
X. Dominguez, V. Tarieladze: GP-Nuclear Groups 127--162 [Abstract]
H. Glockner, K.-H. Neeb:
Minimally Almost Periodic Abelian Groups and Commutative W*-Algebras 163--186 [Abstract]
P. Matysiak: Non-Reflexive Closed Connected Subgroups of Banach Spaces 187--196 [Abstract]
M. G. Megrelishvili: Operator Topologies and Reflexive Representability 197--208 [Abstract]
M. G. Megrelishvili, V. G. Pestov, V. V. Uspenskij:
A Note on the Precompactness of Weakly Almost Periodic Groups 209--216 [Abstract]
R. Steglinski:
Quotient Groups of Normed Spaces for which the Bochner Theorem Fails Completely 217--225 [Abstract]
W. Wojtynski: An Introduction to String Lie Theory 227--238 [Abstract]
M. Wustner: A Short Survey on the Surjectivity of Exponential Lie Groups 239--250 [Abstract]
Thomas H. Sidebotham
The A to Z of Mathematics: A Basic Guide
ISBN: 0-471-15045-2
Paper 496 Pages
July 2002
Features
Illustrates concepts and how they are used through easy-to-follow diagrams and worked examples.
Provides a useful reference and refresher for readers.
Written in an accessible style that wont intimidate readers.
Includes cross-references where necessary to present more complete explanations.
Basic mathematics has never been so easy to learn! This user-friendly book presents clear and concise explanations of basic mathematics in a way that will help readers break through their anxiety about these concepts. By using contextual problems, the author also shows readers the relevance of the material in the real world.
David S. Watkins
Fundamentals of Matrix Computations, 2nd Edition
ISBN: 0-471-21394-2
Cloth 640 Pages
May 2002
Watkins provides readers with a comprehensive introduction to the fundamentals of numerical linear algebra. Updated with the latest material in the field, this second edition now uses MATLAB for many of the exercises and examples. It also covers applications for electrical circuits, mass-spring systems, and simple partial differential equations. New sections are also included on methods of solving large, sparse eigenvalue problems with discussions of the popular implicitly-restarted Arnold and Jacobi-Davidson methods.
Features
Includes new material on backward error analysis of Gaussian elimination, reorthogonalization, and QR decomposition.
Offers an earlier introduction of the SVD (singular value decomposition).
Contains a new chapter on iterative methods, focusing on the conjugate-gradient method for solving symmetric, positive definite systems as well as the classical iterations and preconditions.
Table of Contents
Preface.
Acnowledgments.
Gaussian Elimination and its Variants.
Sensitivity of Linear Systems.
The Least Squares Problem.
The Singular Value Decomposition.
Eigenvalues and Eigenvectors I.
Eigenvalues and Eigenvectors II.
Iterative Methods for Linear Systems.
Appendix: Some Sources of Software for Matrix Computations.
References.
Index.
Index of MATLAB Terms.
Alan Agresti
Categorical Data Analysis, 2nd Edition
ISBN: 0-471-36093-7
Cloth 710 Pages
July 2002
Offering a comprehensive introduction to the methods for categorical data analysis, this book presents the most prominent methods in the field. Now in its second edition, Categorical Data Analysis also includes the latest methods for correlated multivariate categorical responses. Readers will find a unified generalized linear models approach that connects logistic repression and Poisson and negative binomial regression for discrete data with normal regression for continuous data.
Features
Places stronger emphasis on logistic regression modeling of binary and multicategory data.
Includes three new chapters on methods for repeated measurement and other forms of clustered categorical data.
Provides an appendix that demonstrates the use of SAS for conducting nearly all the analyses in the book.
Uses over 100 analyses of real data sets to illustrate the application of the methods.