Mathematical physics

著者

    • Joglekar, S. D.

書誌事項

Mathematical physics

S.D. Joglekar

Universities Press , CRC Press, Taylor & Francis Group [distributor], c2007

  • The basics
  • Advanced topics

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注記

Includes bibliographical references and indexes

内容説明・目次

巻冊次

The basics ISBN 9781420053029

内容説明

The first of a two-volume set, Mathematical Physics: The Basics provides a masterful introduction to the mathematical methods encountered by undergraduate students in physics, chemistry, and engineering. Topics include vectors and Cartesian tensors, vector calculus, Lorentz tensors, curvilinear coordinates, linear vector spaces and linear operators, eigenvalues and eigenvectors, matrix representations and diagonalization of matrices, complex variables, analytic functions, Taylor and Laurent series, contour integrals, residue theorem and applications, and method of steepest descent. Numerous worked examples and problems are featured to demonstrate principles and facilitate learning.

目次

Coordinate Transformations, Vectors and Cartesian Tensors. Lorentz Transformation, 4-Vectors and 4-Tensors. Curvilinear Coordinates. Linear Vector Spaces - I. Linear Vector Spaces - II: Linear Operators. Complex Variables - I. Complex Variables - II. Complex Variables - III. Index.
巻冊次

Advanced topics ISBN 9781420053036

内容説明

Mathematical Physics: Advanced Topics is the second of a two-volume set designed for senior undergraduate and postgraduate students. The author provides detailed discussion of topics including partial differential equations, ordinary differential equations, special functions including gamma, beta and Bessel functions, classical orthogonal polynomials, spherical harmonics, generalized functions, the Dirac-delta function, Fourier transforms, group theory, eigenvalues, eigenvectors, matrix representations and diagonalization of matrices, complex variables, analytic functions, Taylor and Laurent series, contour integrals, residue theorem and applications, and method of steepest descent.

目次

Ordinary Differential Equations. Gamma (Factorial) and Beta Functions. Bessel Functions. Some Special Functions and Spherical Harmonics. Partial Differential Equations. Generalized Functions, the Dirac Delta Function and the Fourier Transform. Group Theory. Appendix. References. Index.

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詳細情報

  • NII書誌ID(NCID)
    BA88314506
  • ISBN
    • 9781420053029
    • 9781420053036
  • 出版国コード
    ii
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Hyderabad, India,Boca Raton
  • ページ数/冊数
    2 v.
  • 大きさ
    24 cm
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