Handbook of Global Analysis - Hardcover

Hardcover

ISBN 10: 0444528334 ISBN 13: 9780444528339

Publisher: Elsevier Science, 2007

Synopsis

This is a comprehensive exposition of topics covered by the American Mathematical Society’s classification “Global Analysis”, dealing with modern developments in calculus expressed using abstract terminology. It will be invaluable for graduate students and researchers embarking on advanced studies in mathematics and mathematical physics.This book provides a comprehensive coverage of modern global analysis and geometrical mathematical physics, dealing with topics such as; structures on manifolds, pseudogroups, Lie groupoids, and global Finsler geometry; the topology of manifolds and differentiable mappings; differential equations (including ODEs, differential systems and distributions, and spectral theory); variational theory on manifolds, with applications to physics; function spaces on manifolds; jets, natural bundles and generalizations; and non-commutative geometry.

• Comprehensive coverage of modern global analysis and geometrical mathematical physics
• Written by world-experts in the field
• Up-to-date contents

About this title

From the Back Cover

This book provides a comprehensive exposition of modern global analysis and geometrical mathematical physics. It covers a broad range of topics included in the American Mathematical Society’s classification “Global Analysis”. The contributions are from world experts in the field, each providing an up-to-date perspective on its subject with references for readers who wish to undertake further detailed study.

The book will be invaluable for graduate students and researchers embarking on advanced studies in mathematics and mathematical physics.

Featured topics:

- Structures on manifolds, pseudogroups, Lie groupoids, and global Finsler geometry;
- The topology of manifolds and differentiable mappings;
- Differential equations (including ODEs, differential systems and distributions, and spectral theory);
- Variational theory on manifolds, with applications to physics;
- Function spaces on manifolds;
- Jets, natural bundles and generalizations; and
- Non-commutative geometry.

Edition details

• Publisher: Elsevier Science
• Publication date: 2007
• Language: English
• ISBN 10: 0444528334
• ISBN 13: 9780444528339
• Binding: Hardcover
• Edition number: 1
• Number of pages: 1244
• Editor: Krupka Demeter, Saunders David