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  3. Fourier Series and Orthogonal Polynomials
  • This book is no longer available to purchase from Cambridge Core
  • Cited by 81
Publisher:
Mathematical Association of America
Online publication date:
June 2014
Print publication year:
1941
Online ISBN:
9781614440062
DOI:
https://doi.org/10.5948/UPO9781614440062
Subjects:
Mathematics, Real and Complex Analysis
Series:
Carus Mathematical Monographs
Information

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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