Introduction to differentiable manifolds
著者
書誌事項
Introduction to differentiable manifolds
(Universitext)
Springer, c2002
2nd ed
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注記
1st ed. published: Reading, Mass. : Addison-Wesley, 1972
Includes bibliographical references (p. 243-245) and index
内容説明・目次
内容説明
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
目次
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
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