Complex Integration And Cauchy's Theorem (1914)

Complex Integration And Cauchy�������s Theorem is a mathematical textbook written by G. N. Watson and originally published in 1914. The book focuses on the study of complex analysis and the Cauchy integral theorem, which is a fundamental concept in this field. The text is divided into three parts, with the first part introducing the basic principles of complex analysis, including complex functions, differentiation, and integration. The second part delves deeper into the Cauchy integral theorem and its various applications, such as the residue theorem and the argument principle. The third and final part of the book covers more advanced topics, such as the theory of entire functions and the Riemann mapping theorem. Throughout the book, Watson provides numerous examples and exercises to help readers develop their understanding of the subject matter. This book is considered a classic in the field of complex analysis and is still widely used as a reference by students and researchers in mathematics.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.

Originally published in 1914 as number fifteen in the Cambridge Tracts in Mathematics and Mathematical Physics series, this book provides a concise proof of Cauchy's Theorem, along with some applications of the theorem to the evaluation of definite integrals.