文档介绍：Undergraduate Texts in Mathematics
Editorial Board
S. Axler
. Ribet
For other titles Published in this series, go to
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James J. Callahan
Advanced Calculus
A Geometric View
James J. Callahan
Department of Mathematics and Statistics
Smith College
Northampton, MA 01063
USA
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Editorial Board
S. Axler . Ribet
Mathematics Department Mathematics Department
San Francisco State University University of California at Berkeley
San Francisco, CA 94132 Berkeley, CA 94720-3840
USA USA
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ISSN 0172-6056
ISBN 978-1-4419-7331-3 e-ISBN 978-1-4419-7332-0
DOI -1-4419-7332-0
Springer New York Dordrecht Heidelberg London
Library of Congress Control Number: 2010935598
Mathematics Subject Classification (2010): 26-01, 26B12, 26B15, 26B10, 26B20, 26A12
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To my teacher, Linus Richard Foy
Preface
A half-century ago, advanced calculus was a well-defined subject at the core
of the undergraduate mathematics curriulum. The classic texts of Taylor [19],
Buck [1], Widder [21], and Kap