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This concept of the course is advanced calculus has a long history in Amerrican colleges and universities. Quite naturally, the concept has not remained statics. Nor does if have exactly the same connotations to all teachers, students, all users of mathemantics at any given time. | ỉĩỉiì ADVANCED CALCULUS Third Edition ANGUS E. TAYLOR University of California w. ROBERT MANN University of North Carolina JOHN WILEY SONS INC. New York Chichester Brisbane Toronto I Singapore Copyright 1955 1972 1983 by John Wiley Sons Inc. All rights reserved. Published simultaneously in Canada. Reproduction or translation of any part of this work beyond that permitted by Sections 107 and 108 of the 1976 United States Copyright Act without the permission of the copyright owner is unlawful. Requests for permission or further information should be addressed to the Permissions Department John Wiley Sons. Library of Congress Cataloging in Publication Data Taylor Angus Ellis 1911 Advanced calculus. Includes index. 1. Calculus. I. Mann w. Robert William Robert 1920- II. Title. QA303.T2 1982 515 81-16141 fs8bj . AACR2 Printed in the United States of America 10 Scanned on ido âb .