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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.
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.
Reseña 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
This present volume consists substantially of a course of lectures which, by special invitation of the authorities, I delivered in the University of Calcutta during parts of January and February, 1913. The invitation was accompanied by a stipulation that the lectures should be published.
As regards choice of subject for the course, I was allowed complete freedom. It was intimated that the class would be mainly or entirely of a post-graduate standing. What was desired, above all, was an exposition of some subject that, later on, might suggest openings to those who had the will and the skill to pursue research.
Accordingly I selected a subject, which may be regarded as being still in not very advanced stages of development, and into the exposition of which I could incorporate some results of my own which had been in my possession for some time. Owing to the limitations of the period over which the course should extend, it was not practicable to make the lectures a systematic discussion of the whole subject; and I therefore had to choose portions, in order to discuss a variety of topics and to indicate some paths along which further progress might be possible. Thus, instead of concentrating upon one particular issue, I preferred to deal with several distinct lines of investigation, even though their treatment had to be relatively brief.
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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- VerlagForgotten Books
- Erscheinungsdatum2018
- ISBN 10 1332314627
- ISBN 13 9781332314621
- EinbandTapa blanda
- SpracheEnglisch
- Anzahl der Seiten602
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Lectures Introductory to the Theory of Functions of Two Complex Variables
Print-on-DemandAnbieter: Forgotten Books, London, Vereinigtes Königreich
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Paperback. Zustand: 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. Bestandsnummer des Verkäufers 9781332314621_0
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Lectures Introductory to the Theory of Functions of Two Complex Variables
Anbieter: PBShop.store US, Wood Dale, IL, USA
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781332314621
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Lectures Introductory to the Theory of Functions of Two Complex Variables
Anbieter: PBShop.store UK, Fairford, GLOS, Vereinigtes Königreich
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781332314621
Anzahl: 15 verfügbar