Developments Obtained by Cauchy's Theorem: With Applications to the Elliptic Functions (Classic Reprint) - Softcover

Henry Parker Manning

 
9780282651442: Developments Obtained by Cauchy's Theorem: With Applications to the Elliptic Functions (Classic Reprint)

Synopsis

This book explores the development of techniques to represent functions through series expansions using integrals, particularly focusing on the sine, cosine, and elliptic functions. The author, a mathematician, begins by discussing Cauchy's theorem as the basis for these developments, then establishes the convergence tests required to ensure the series are valid. From there, the author shows how to obtain developments for sn(mx), cn(mx), and dn(mx) by transforming the general formulas for sine and cosine expansions. The book's insights present a comprehensive approach to understanding series representation of these vital mathematical functions, making it a valuable resource for students and researchers in mathematics, physics, and related fields.

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