Transcription of COMPLEX ANALYSIS - UNAM
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COMPLEX ANALYSIS - UNAM
COMPLEX ANALYSIS An Introduction to the Theory of Analytic Functions of One COMPLEX Variable Third Edition Lars V. Ahlfors Professor of Mathematics, Emeritus Harvard University McGraw-Hill, Inc. New York St. Louis San Francisco Auckland Bogota Caracas Lisbon London Madrid Mexico City Milan Montreal New Delhi San Juan Singapore Sydney Tokyo Toronto COMPLEX ANALYSIS Copyright 1979, 1966 by McGraw-Hill, Inc. All rights reserved. Copyright 1953 by McGraw-Hill, Inc. All rights reserved. Printed in the United States of America. 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 written permission of the publisher. 2223 BRBBRB 9876543 This book was set in Modern SA by Monotype Composition Company, Inc.
Two complex numbers are equal if and only if they have the same real part and the same imaginary part. Addition and multiplication do not lead out from the system of complex numbers. Assuming that the ordinary rules of arithmetic apply to complex numbers we find indeed (1) (a + i(:3) + ('Y + ifi) = (a + 'Y) + i((:3 + fi) and
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