Excerpt from Complex Integration and CauchyÂ’s Theorem
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Excerpt from Complex Integration and Cauchy's Theorem
My endeavour has been to place the whole theory on a definitely arithmetical basis without appealing to geometrical intuitions. With that end in View, it seemed necessary to include an account of various propositions of Analysis Sirius, on which depends the proof of the theorem in its most general form. In proving these propositions, I have followed the general course of a memoir by Ames; my indebtedness to it and to the textbooks on Analysis by Goursat and by de la Vallée Poussin Will be obvious to those who are acquainted with those works.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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Paperback. Condición: New. Print on Demand. This book delves into the mathematical concepts of complex integration and Cauchy's theorem. It lays the foundation through a rigorous grounding in analysis situs, enabling readers to grasp the framework upon which the theorem is built. The author presents a systematic exploration of complex integration, guiding readers through the nuances of line integrals and providing a comprehensive understanding of the theorem's significance. Cauchy's theorem emerges as a powerful tool for evaluating definite integrals, a fact explored in detail throughout the book. The author takes a methodical approach, establishing the theorem's validity and demonstrating its applications to real-world problems. By exploring historical summaries and examining the broader context of complex analysis, the book positions Cauchy's theorem within a rich mathematical tradition. This book is an essential resource for mathematicians, physicists, and engineers seeking to master the intricacies of complex integration. Its rigorous approach, coupled with a wealth of examples and applications, makes it an invaluable guide for those seeking to deepen their understanding of this fundamental mathematical concept. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Nº de ref. del artículo: 9781332785292_0
Cantidad disponible: Más de 20 disponibles
Librería: PBShop.store US, Wood Dale, IL, Estados Unidos de America
PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781332785292
Cantidad disponible: 15 disponibles
Librería: PBShop.store UK, Fairford, GLOS, Reino Unido
PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781332785292
Cantidad disponible: 15 disponibles