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Complex Variables This page intentionally left blank Complex Variables with an introduction to CONFORMAL MAPPING and its applications Second Edition Murray R. Spiegel, Former Professor and Chairman, Mathematics Department Rensselaer Polytechnic Institute, Hartford Graduate Center Seymour Lipschutz, Mathematics Department, Temple University John J. Schiller, Mathematics Department, Temple University Dennis Spellman, Mathematics Department, Temple University schaum 's Outline Series New York Chicago San Francisco Lisbon London Madrid Mexico City Milan New Delhi San Juan Seoul Singapore Sydney Toronto Copyright 2009, 1964 by The McGraw-Hill Companies, Inc. All rights reserved. Except as permitted under the United States Copyright Act of 1976, no part of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval system, without the prior written permis- sion of the publisher.

Schaum’s Outline Series New York Chicago San Francisco Lisbon London Madrid Mexico City Milan New Delhi San Juan ... “The theory of functions of a complex variable, also called for brevity complex variables or complex analysis, is one of the beautiful as well as useful branches of mathematics. Although originating in an

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