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This book an EXACT reproduction of the original book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more

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This volume is produced from digital images created through the University of Michigan University Library's large-scale digitization efforts. The Library seeks to preserve the intellectual content of items in a manner that facilitates and promotes a variety of uses. The digital reformatting process results in an electronic version of the original text that can be both accessed online and used to create new print copies. The Library also understands and values the usefulness of print and makes reprints available to the public whenever possible. This book and hundreds of thousands of others can be found in the HathiTrust, an archive of the digitized collections of many great research libraries. For access to the University of Michigan Library's digital collections, please see http://www.lib.umich.edu and for information about the HathiTrust, please visit http://www.hathitrust.org ... Read more

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AUTHOR'S PREFACE-SECOND FRENCH EDITION The first part of this volume has undergone ouly slight changes, while the rather important modifications that ha,'e been made appeal' only ill the last chapters. In the first edition I was able to devote but a few pages to partial differential equations of the second order and to the calculus of variations. In order to present in a less summary manner such broad subjects, I ·have concluded to defer them to a third volume, which will contain also a sketch of the recent theory of integral equat.ions. The suppression of the last chapter has enabled me to make some aclclitions, of which the most important relate to linear differential equations and to partial differential equations of the first order. E. GOURSAT TR.ANSJ.JATOR.S' PREFACE As the title indicates, the present vclume is a translation of the first half of the second volume of Goursat's HCours d'Analyse." The decision to publish the tl'ansln.tion in two parts is due

Table of Contents

CONTENTS; CHAPTRR I ELE~IKKTS OF THE THEORY; I GK~ERAL PRI~CIPLES A~ALYTIC FU)oCTIOSS; 1 Definitions; 2 Continuous functions of it complex variable; :-I Analytic functions ; 4 Functions analytic throughout a region; 5 Rational fnnctions ; 6 Certain irrational functions; 1 Single-valued and multiple-valued functions; l'AOY-; 3; 3; 3; 6; 7; 11; 12; 13; 17; II POWER SERIES WITH CO:IPLEX TER:l~ ELl~Ml~X'l'AnY; TltANSCENDEXTAL FU:-ICTIOXS 18; 8 Circle of convergence 18; 9 Double series 21; 10 Development of an infillitc pl'uunct in power series 22; 11 The exponential function 23; 12 Trigonometric functions 26; 1~ Logarithms 28; 14 Inyerse functions: arc sin z, arc tan;:; 30; 15 Application to the integ'ral calcuhls 33; 10 Decomposition of a rational fLlDction of sin z and cos z into; simple elements 35; 17 Expansion of Log (1 + z) 38; 18 Extension of the binomial formula 40; III CONFORMAL R}O;PR,;Sg)o'l'Al'lO~ 42; 19 Geometric interpretat ... Read more

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This scarce antiquarian book is a selection from Kessinger Publishing's Legacy Reprint Series. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment to protecting, preserving, and promoting the world's literature. Kessinger Publishing is the place to find hundreds of thousands of rare and hard-to-find books with something of interest for everyone! ... Read more

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This Book Is In French. ... Read more

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This scarce antiquarian book is a selection from Kessinger Publishing’s Legacy Reprint Series. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment to protecting, preserving, and promoting the world's literature. Kessinger Publishing is the place to find hundreds of thousands of rare and hard-to-find books with something of interest for everyone! ... Read more

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Soft cover, normal wear and tear, page discoloration, 548 pages, pen & pencil markings on first few blank pages. ... Read more