Introduction to Differentiable Manifolds
(Sprache: Englisch)
Author is well-known and established book author (all Serge Lang books are now published by Springer); Presents a brief introduction to the subject; All manifolds are assumed finite dimensional in order not to frighten some readers; Complete proofs are...
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Author is well-known and established book author (all Serge Lang books are now published by Springer); Presents a brief introduction to the subject; All manifolds are assumed finite dimensional in order not to frighten some readers; Complete proofs are given; Use of manifolds cuts across disciplines and includes physics, engineering and economics
Klappentext zu „Introduction to Differentiable Manifolds “
This book gives an introduction to the basic concepts which are used in differential topology, differential geometry, and differential equations. A certain number of concepts are essential for all three of these areas, and are so basic and elementary, that it is worthwhile to collect them together so that more advanced expositions can be given without having to start from the very beginning. The concepts are concerned with the general basic theory of differential manifolds. As a result, this book can be viewed as a prerequisite to Fundamentals of Differential Geometry. Since this book is intended as a text to follow advanced calculus, manifolds are assumed finite dimensional. In the new edition of this book, the author has made numerous corrections to the text and he has added a chapter on applications of Stokes' Theorem.
Inhaltsverzeichnis zu „Introduction to Differentiable Manifolds “
- Foreword- Acknowledgments
- Differential Calculus
- Manifolds
- Vector Bundles
- Vector Fields and Differential Equations
- Operations on Vector Fields and Differential Forms
- The Theorem of Frobenius
- Metrics
- Integration of Differential Forms
- Stokes' Theorem
- Applications of Stokes' Theorem
Bibliographische Angaben
- Autor: Serge Lang
- 2002, 2002, 250 Seiten, Maße: 16 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer, New York
- ISBN-10: 0387954775
- ISBN-13: 9780387954776
- Erscheinungsdatum: 01.10.2002
Sprache:
Englisch
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