Introduction to differential topology

書誌事項

Introduction to differential topology

Th. Bröcker, K. Jänich ; translated by C.B. and M.J. Thomas

Cambridge University Press, c1982

  • : pbk
タイトル別名

Einführung in die Differentialtopologie

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注記

Translation of: Einführung in die Differentialtopologie

Includes index

Bibliography: p. 153

内容説明・目次

内容説明

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.

目次

  • Preface
  • 1. Manifolds and differentiable structures
  • 2. Tangent space
  • 3. Vector bundles
  • 4. Linear algebra for vector bundles
  • 5. Local and tangential properties
  • 6. Sard's theorem
  • 7. Embedding
  • 8. Dynamical systems
  • 9. Isotopy of embeddings
  • 10. Connected sums
  • 11. Second order differential equations and sprays
  • 12. The exponential map and tubular neighbourhoods
  • 13. Manifolds with boundary
  • 14. Transversality
  • References
  • Index of symbols
  • Subject index.

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詳細情報

  • NII書誌ID(NCID)
    BA03120013
  • ISBN
    • 0521241359
    • 0521284708
  • LCCN
    81021591
  • 出版国コード
    uk
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 原本言語コード
    ger
  • 出版地
    Cambridge ; New York
  • ページ数/冊数
    160 p.
  • 大きさ
    24 cm
  • 分類
  • 件名
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