Lectures Introductory to the Theory of Functions of Two Complex Variables

A. R. Forsyth

ISBN 10: 1332314627 ISBN 13: 9781332314621

Editorial: Forgotten Books, 2018

Idioma: Ingl�s

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Descripci�n

Print on Demand. This book serves as an insightful guide to the theory of functions of two complex variables. The author introduces geometrical representations of two complex variables, beginning with the established Argand diagram for a single variable before discussing more complex ideas involving four-dimensional space, line segments, and points in separate planes. Delving into the analytical properties of lineo-linear substitutions, the book investigates the notion of uniform analytic functions. It demonstrates how these functions can be expressed in power series, leading to the idea of singularities and their impact on the behavior of functions in their immediate vicinity. The author continues by establishing two theorems: the first states that a rational function devoid of essential singularities is expressible as a rational function of the variables, and the second states that a function with essential singularities only in the infinite part of the field of variation is expressible as the quotient of two functions that are regular in all finite parts of the field. The text concludes with an introduction to integrals, focusing on double integrals of uniform functions of two variables and the theory of algebraic functions involving two variables. These complex ideas are approached with a combination of analytical expression and geometrical representation, providing a unique perspective on a subject that has seen substantial contributions from mathematicians like Poincar� , Picard, and Weierstrass. Through this comprehensive exploration of principles and generalities, the book sheds new light on the theory of functions of two complex variables. 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.

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Detalles bibliogr�ficos

T�tulo

Lectures Introductory to the Theory of Functions of Two Complex Variables

Editor

Forgotten Books

Fecha de publicaci�n

2018

Idioma

Ingl�s

ISBN 10

1332314627

ISBN 13

9781332314621

Encuadernaci�n

Paperback

Estado

New

Tipo de libro

print-on-demand item

Cat�logos de vendedores

Calculus

Acerca de

Sinopsis

Excerpt from Lectures Introductory to the Theory of Functions of Two Complex VariablesAbout the PublisherForgotten Books publishes hundreds of thousands of rare and classic books.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. This text has been digitally restored from a historical edition. Some errors may persist, however we consider it worth publishing due to the work's historical value.The digital edition of all books may be viewed on our website before purchase.

Rese�a del editor

Excerpt from Lectures Introductory to the Theory of Functions of Two Complex Variables: Delivered to the University of Calcutta, During January and February 1913

HE present volume consists substantially of a course of lectures which, by special invitation of the authorities.

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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Descripci�n de la librer�a

Forgotten Books? Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.

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