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Essays in Mathematics and its Applications In Honor of Vladimir Arnold
This volume, dedicated to the eminent mathematician Vladimir Arnold, presents a collection of research and survey papers written on a large spectrum of theories and problems that have been studied or introduced by Arnold himself. Emphasis is given to topics relating to dynamical systems, stability of integrable systems, algebraic and differential topology, global analysis, singularity theory an…
- Edition
- -
- ISBN/ISSN
- 978-3-319-31338-2
- Collation
- 52 b/w illustrations, 22 illustrations in colour
- Series Title
- -
- Call Number
- -
Topology
This is an introductory textbook on general and algebraic topology, aimed at anyone with a basic knowledge of calculus and linear algebra. It provides full proofs and includes many examples and exercises. The covered topics include: set theory and cardinal arithmetic; axiom of choice and Zorn's lemma; topological spaces and continuous functions; connectedness and compactness; Alexandrov compac…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-16957-6
- Collation
- XII, 309
- Series Title
- UNITEXT
- Call Number
- -
Topological and Statistical Methods for Complex Data
This book contains papers presented at the Workshop on the Analysis of Large-scale, High-Dimensional, and Multi-Variate Data Using Topology and Statistics, held in Le Barp, France, June 2013. It features the work of some of the most prominent and recognized leaders in the field who examine challenges as well as detail solutions to the analysis of extreme scale data. The book presents new metho…
- Edition
- 1
- ISBN/ISSN
- 978-3-662-44900-4
- Collation
- XV, 297
- Series Title
- Mathematics and Visualization
- Call Number
- -
Topological Dimension and Dynamical Systems
Translated from the popular French edition, the goal of the book is to provide a self-contained introduction to mean topological dimension, an invariant of dynamical systems introduced in 1999 by Misha Gromov. The book examines how this invariant was successfully used by Elon Lindenstrauss and Benjamin Weiss to answer a long-standing open question about embeddings of minimal dynamical systems i…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-19793-7
- Collation
- XV, 233
- Series Title
- Universitext
- Call Number
- -
A Primer on Hilbert Space Theory: Linear Spaces, Topological Spaces, Metric S…
This book is an introduction to the theory of Hilbert space, a fundamental tool for non-relativistic quantum mechanics. Linear, topological, metric, and normed spaces are all addressed in detail, in a rigorous but reader-friendly fashion. The rationale for an introduction to the theory of Hilbert space, rather than a detailed study of Hilbert space theory itself, resides in the very high mathem…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-03713-4
- Collation
- XVII, 255
- Series Title
- UNITEXT for Physics
- Call Number
- 530.15 ALA p
A New Direction in Mathematics for Materials Science
This book is the first volume of the SpringerBriefs in the Mathematics of Materials and provides a comprehensive guide to the interaction of mathematics with materials science. The anterior part of the book describes a selected history of materials science as well as the interaction between mathematics and materials in history. The emergence of materials science was itself a result of an interd…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-4-431-55864-4
- Collation
- -
- Series Title
- SpringerBriefs in the Mathematics of Materials
- Call Number
- 514.72 IKE n
A Cp-Theory Problem Book: Functional Equivalencies
This fourth volume in Vladimir Tkachuk's series on Cp-theory gives reasonably complete coverage of the theory of functional equivalencies through 500 carefully selected problems and exercises. By systematically introducing each of the major topics of Cp-theory, the book is intended to bring a dedicated reader from basic topological principles to the frontiers of modern research. The book presen…
- Edition
- -
- ISBN/ISSN
- 978-3-319-24385-6
- Collation
- -
- Series Title
- Problem Books in Mathematics
- Call Number
- 514.1 TKA a
A Cp-Theory Problem Book: Compactness in Function Spaces
This third volume in Vladimir Tkachuk's series on Cp-theory problems applies all modern methods of Cp-theory to study compactness-like properties in function spaces and introduces the reader to the theory of compact spaces widely used in Functional Analysis. The text is designed to bring a dedicated reader from basic topological principles to the frontiers of modern research covering a wide var…
- Edition
- -
- ISBN/ISSN
- 978-3-319-16092-4
- Collation
- -
- Series Title
- Problem Books in Mathematics
- Call Number
- 512 TKA a
Encyclopedia of Distances
This 4-th edition of the leading reference volume on distance metrics is characterized by updated and rewritten sections on some items suggested by experts and readers, as well a general streamlining of content and the addition of essential new topics. Though the structure remains unchanged, the new edition also explores recent advances in the use of distances and metrics for e.g. generalized d…
- Edition
- -
- ISBN/ISSN
- 978-3-662-52844-0
- Collation
- 2 b/w illustrations
- Series Title
- -
- Call Number
- -
Moduli Spaces of Riemannian Metrics
This book studies certain spaces of Riemannian metrics on both compact and non-compact manifolds. These spaces are defined by various sign-based curvature conditions, with special attention paid to positive scalar curvature and non-negative sectional curvature, though we also consider positive Ricci and non-positive sectional curvature. If we form the quotient of such a space of metrics under t…
- Edition
- 1
- ISBN/ISSN
- 978-3-0348-0948-1
- Collation
- -
- Series Title
- Oberwolfach Seminars
- Call Number
- -
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