Introduction to mathematical physics

著者

    • Vaughn, Michael T.

書誌事項

Introduction to mathematical physics

Michael T. Vaughn

(Physics textbook)

Wiley-VCH, c2007

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

A comprehensive survey of all the mathematical methods that should be available to graduate students in physics. In addition to the usual topics of analysis, such as infinite series, functions of a complex variable and some differential equations as well as linear vector spaces, this book includes a more extensive discussion of group theory than can be found in other current textbooks. The main feature of this textbook is its extensive treatment of geometrical methods as applied to physics. With its introduction of differentiable manifolds and a discussion of vectors and forms on such manifolds as part of a first-year graduate course in mathematical methods, the text allows students to grasp at an early stage the contemporary literature on dynamical systems, solitons and related topological solutions to field equations, gauge theories, gravitational theory, and even string theory. Free solutions manual available for lecturers at www.wiley-vch.de/supplements/.

目次

1. Infinite Sequences and Series 2. Finite-Dimensional Vector Spaces 3. Geometry in Physics 4. Functions of a Complex Variable 5. Differential Equations 6. Hilbert Spaces 7. Linear Operators on Hilbert Space 8. Partial Differential Equations 9. Discrete Groups 10. Lie Groups and Lie Algebras

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詳細情報

  • NII書誌ID(NCID)
    BA8216660X
  • ISBN
    • 9783527406272
  • 出版国コード
    gw
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Weinheim
  • ページ数/冊数
    xiv, 527 p.
  • 大きさ
    24 cm
  • 分類
  • 件名
  • 親書誌ID
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