<DIV><DIV>Geared toward advanced undergraduates and graduate students, this text introduces the methods of mathematical analysis as applied to manifolds. In addition to examining the roles of differentiation and integration, it explores infinite-dimensional manifolds, Morse theory, Lie groups, dynam
Introduction to Global Analysis
โ Scribed by Donald W. Kahn (Eds.)
- Publisher
- Academic Press, Elsevier
- Year
- 1980
- Leaves
- 338
- Series
- Pure and Applied Mathematics 91
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Table of Contents
Content:
Edited by
Page iii
Copyright page
Page iv
Preface
Page ix
Introduction
Pages 1-4
Chapter 1 Manifolds and Their Maps
Pages 5-37
Chapter 2 Embeddings and Immersions of Manifolds
Pages 38-67
Chapter 3 Critical Values, Sard's Theorem, and Transversality
Pages 68-86
Chapter 4 Tangent Bundles, Vector Bundles, and Classification
Pages 87-136
Chapter 5 Differentiation and Integration on Manifolds
Pages 137-170
Chapter 6 Differential Operators on Manifolds
Pages 171-205
Chapter 7 Infinite-Dimensional Manifolds
Pages 206-225
Chapter 8 Morse Theory and Its Applications
Pages 226-255
Chapter 9 Lie Groups
Pages 256-288
Chapter 10 Dynamical Systems
Pages 289-313
Chapter 11 A Description of Singularities and Catastrophes
Pages 314-326
Bibliography
Pages 327-331
Index
Pages 333-336
๐ SIMILAR VOLUMES
Geared toward advanced undergraduates and graduate students, this text introduces the methods of mathematical analysis as applied to manifolds. In addition to examining the roles of differentiation and integration, it explores infinite-dimensional manifolds, Morse theory, Lie groups, dynamical syste
Geared toward advanced undergraduates and graduate students, this text introduces the methods of mathematical analysis as applied to manifolds. In addition to examining the roles of differentiation and integration, it explores infinite-dimensional manifolds, Morse theory, Lie groups, dynamical syste
<DIV><DIV>Geared toward advanced undergraduates and graduate students, this text introduces the methods of mathematical analysis as applied to manifolds. In addition to examining the roles of differentiation and integration, it explores infinite-dimensional manifolds, Morse theory, Lie groups, dynam
<DIV>This accessible introduction to global analysis begins with a basic discussion of finite-dimensional differential manifolds. A Professor of Mathematics at the University of Minnesota, author Donald W. Kahn has geared his treatment toward advanced undergraduates and graduate students. Starting w