Developments Obtained By Cauchy's Theorem: With Applications To The Elliptic Functions (1891)

Developments Obtained By Cauchy�������s Theorem: With Applications To The Elliptic Functions is a mathematical treatise written by Henry P. Manning and originally published in 1891. The book is focused on the applications of Cauchy's theorem, a fundamental result in complex analysis, to the study of elliptic functions. The book begins with an introduction to the theory of complex variables, including Cauchy's theorem and its applications to the evaluation of integrals. The author then proceeds to explore the properties of elliptic functions, including their periodicity and singularities. Manning then goes on to present a series of developments and applications of Cauchy's theorem to the study of elliptic functions. These include the evaluation of integrals involving elliptic functions, the determination of the residues of elliptic functions, and the calculation of the periods of elliptic functions. The book is highly technical and assumes a strong background in mathematics, particularly in complex analysis and elliptic functions. However, it is a valuable resource for researchers and students in these fields, providing a detailed and rigorous treatment of the subject matter.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.