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A Brief Introduction to Theta Functions (Dover Books on Mathematics)

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Book Details

  • Publisher: Dover

  • Author: Richard Bellman

  • Language: English

  • Binding: Paperback

  • ISBN: 9780486492957

  • Pages: 96

  • Cover: Paperback

  • Dimensions:

    • Length: 9.2 inches

    • Width: 6.1 inches

    • Height: 0.3 inches


About The Book

Theory of Elliptic Functions by Richard Bellman is a brief yet profound exploration of the theory of elliptic functions. Written by one of America’s most prominent mathematicians, this monograph is both accessible and deeply insightful, making it an ideal resource for advanced undergraduates and graduate students in mathematics.

In just 96 pages, Bellman covers a wealth of material in a series of short, digestible chapters, each illuminating key aspects of elliptic functions. The text discusses fundamental areas such as Fourier series, the Laplace transform, Gaussian sums, and Euler’s formulas, with clear examples and applications of these powerful analytic methods.

This introductory text is largely self-contained and includes topics such as partial fractions, mock theta functions, Hermite’s method, and the modular transformation. Suitable for anyone looking to dive deeper into the world of elliptic functions, Bellman’s treatment of the subject offers both depth and clarity, all while encouraging active exploration of advanced mathematical concepts.