New problems in differential geometry

書誌事項

New problems in differential geometry

Maido Rahula

(Series on Soviet and East European mathematics, v. 8)

World Scientific, c1993

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注記

Includes index

内容説明・目次

内容説明

The main theme of this book is the geometrical interpretation of phenomena taking place in Jet spaces in connection with differential equations. This concise volume caters to all mathematicians who wish to deepen their acquaintance with the mathematics of differential geometry.

目次

  • Part 1 Invariant differentiation: vector fields, trajectories, invariants
  • lie differentiation in non-holonomic basis
  • the first appendixes. Part 2 Connection in the bundle: translation of fibres
  • linear connections, morphism of the bundles with the connections. Part 3 Ordinary differential equations: operator of total differentiation
  • lie fields and symmetries of equations
  • lighting of surfaces. Part 4 Partial differential equations: general constructions
  • characteristics of equations
  • Hamilton formalism. Part 5 Open problems: polynomial maps
  • iterations of the tangent functor
  • geometry of catastrophes.

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詳細情報

  • NII書誌ID(NCID)
    BA21593811
  • ISBN
    • 9810208197
  • 出版国コード
    si
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Singapore
  • ページ数/冊数
    xix, 171 p.
  • 大きさ
    23 cm
  • 分類
  • 件名
  • 親書誌ID
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