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Lectures Introductory to the Theory of Functions of Two Complex Variables: Delivered to the University of Calcutta, During January and February 1913 (Classic Reprint) - Softcover
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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.
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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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- PublisherForgotten Books
- Publication date2019
- ISBN 10 1332314627
- ISBN 13 9781332314621
- BindingPaperback
- LanguageEnglish
- Number of pages601
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Lectures Introductory to the Theory of Functions of Two Complex Variables
Print on DemandSeller: Forgotten Books, London, United Kingdom
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Paperback. Condition: New. 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. print-on-demand item. Seller Inventory # 9781332314621_0
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Lectures Introductory to the Theory of Functions of Two Complex Variables
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332314621
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Lectures Introductory to the Theory of Functions of Two Complex Variables
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332314621
Quantity: 15 available