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  3. Fourier Series and Orthogonal Polynomials
  • Cited by 92
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    • Publisher:
      Mathematical Association of America
      Publication date:
      05 June 2014
      01 April 1941
      ISBN:
      9781614440062
      9780883850060
      9780883851357
      DOI:
      https://doi.org/10.5948/UPO9781614440062
      Dimensions:
      Weight & Pages:
      00kg,
      Dimensions:
      Weight & Pages:
      00kg,
      • Subjects:
      Mathematics, Real and Complex Analysis
      Series:
      Carus Mathematical Monographs
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    Subjects:
    Mathematics, Real and Complex Analysis
    Series:
    Carus Mathematical Monographs
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    Book description

    The MAA is pleased to re-issue the early Carus Mathematical Monographs in ebook and print-on-demand formats. Readers with an interest in the history of the undergraduate curriculum or the history of a particular field will be rewarded by study of these very clear and approachable little volumes. The underlying theme of this monograph is that the fundamental simplicity of the properties of orthogonal functions and the developments in series associated with them makes those functions important areas of study for students of both pure and applied mathematics. The book starts with Fourier series and goes on to Legendre polynomials and Bessel functions. Jackson considers a variety of boundary value problems using Fourier series and Laplace's equation. Chapter VI is an overview of Pearson frequency functions. Chapters on orthogonal, Jacobi, Hermite, and Laguerre functions follow. The final chapter deals with convergence. There is a set of exercises and a bibliography. For the reading of most of the book no specific preparation is required beyond a first course in the calculus. A certain amount of 'mathematical maturity' is presupposed, or should be acquired in the course of the reading.

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