Lectures Introductory to the Theory of Functions of Two Complex Variables

A. R. Forsyth

ISBN 10: 1332314627 / ISBN 13: 9781332314621

Editore: Forgotten Books, 2019

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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 Poincarà , 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. Codice articolo 9781332314621_0

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Titolo: Lectures Introductory to the Theory of ...

Casa editrice: Forgotten Books

Data di pubblicazione: 2019

Legatura: Paperback

Condizione: New

Tipologia articolo: print-on-demand item

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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.