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Introduction to Differential Topology - Theodor Brocker

Introduction to Differential Topology

By: Theodor Brocker, K. Janich, C. B. Thomas (Translator), Malcolm J. Thomas (Translator)

Paperback Published: 15th November 1982
ISBN: 9780521284707
Number Of Pages: 172

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This book is intended as an elementary introduction to differential manifolds. The authors concentrate on the intuitive geometric aspects and explain not only the basic properties but also teach how to do the basic geometrical constructions. An integral part of the work are the many diagrams which illustrate the proofs. The text is liberally supplied with exercises and will be welcomed by students with some basic knowledge of analysis and topology.

'The book of Brocker and Janich is the best introduction to elementary differential topology that I know. It is recommended wholeheartedly to every student for self-study and can also serve well as the foundation for an introductory course on differentiable manifolds.' E. Brieskorn, Jahresberichte der Deutsche Mathematische Vereinigung

Manifolds and differentiable structures
Tangent space
Vector bundles
Linear algebra for vector bundles
Local and tangential properties
Sard's theorem
Dynamical systems
Isotopy of embeddings
Connected sums
Second order differential equations and sprays
The exponential map and tubular neighbourhoods
Manifolds with boundary
Index of symbols
Subject index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521284707
ISBN-10: 0521284708
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 172
Published: 15th November 1982
Country of Publication: GB
Dimensions (cm): 22.86 x 15.24  x 1.02
Weight (kg): 0.26

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