An Introduction to Classical Complex Analysis: Vol. 1 (Lehrbücher und Monographien aus dem Gebiete der exakten Wissenschaften, 64, Band 64) - Hardcover

An Introduction to Classical Complex Analysis : Vol. 1

Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - to Classical Complex Analysis Vol. 1 by Robert B. Burckel Kansas State University 1979 BIRKHAUSER VERLAG BASEL UND STUTTGART CIP-Kurztitelaufnahme der Deutschen Bibliothek Burckel, Robert B.: An introduction to classical complex analysis I by Robert B. Burckel. - Basel. Stuttgart: Birkhiiuser. Vol. I. - 1979. (Lehrbilcher und Monographien aus dem Gebiete der exakten Wissenschaften: Math. Reihe; Bd. 64) All Rights Reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, without the prior permission of the Copyright owner. Birkhiiuser Verlag Basel, 1979 North and South America Edition published by ACADEMIC PRESS. INC. III Fifth Avenue, New York, New York 10003 (Pure and Applied Mathematics, A Series of Monographs and Textbooks, Volume 82) ISBN-13: 978-3-0348-9376-3 e-ISBN-13: 978-3-0348-9374-9 DOl: 10.1007/978-3-0348-9374-9 Library of Congress Catalog Card Number 78-67403 5 Contents Volume I PREFACE 9 Chapter 0 PREREQUISITES AND PRELIMINARIES 131 Set Theory 132 Algebra 143 The Battlefield 144 Metric Spaces 155 Limsup and All That 186 Continuous Functions 207 Calculus 21 Chapter I CURVES, CONNECTEDNESS AND CONVEXITY 221 Elementary Results on Connectedness 222 Connectedness of Intervals, Curves and Convex Sets 233 The Basic Connectedness Lemma 284 Components and Compact Exhaustions 295 Connectivity of a Set 336 Extension Theorems 37 Notes to Chapter I 39. Artikel-Nr. 9783764309893

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