Lectures Introductory to the Theory of Functions of Two Complex Variables

Lingua: inglese

Editore: Forgotten Books, 2018

1332314627 / 9781332314621

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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

Titolo
Lectures Introductory to the Theory of Functions of Two Complex Variables
Autore
A. R. Forsyth
Editore
Forgotten Books
Anno di pubblicazione
2018
Condizione
New
Tipo di libro
print-on-demand item
Rilegatura
Paperback
Lingua
inglese
ISBN 10
1332314627
ISBN 13
9781332314621
Cataloghi dei venditori
Calculus

Forgotten Books

London, Regno Unito

Venditore con 5 stelle

Venditore AbeBooks dal 2 giugno 2021

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ArticoloDa 5 a 10 giorni lavorativiDa 5 a 10 giorni lavorativi
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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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