A Course In Multivariable Calculus And Analysis Sudhir R Ghorpade Balmohan V Limaye 1441916202.pdf

Undergraduate Texts in Mathematics
Editorial Board
S. Axler
. Ribet
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Sudhir R. Ghorpade
Balmohan V. Limaye
A Course in Multivariable Calculus
and Analysis
With 79 figures
Sudhir R. Ghorpade Balmohan V. Limaye
Department of Mathematics Department of Mathematics
Indian Institute of Technology, Bombay Indian Institute of Technology, Bombay
Powai, Mumbai 400076 Powai, Mumbai 400076
India India
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Editorial Board:
S. Axler K.
Mathematics Department Mathematics Department
San Francisco State University University of California at Berkeley
San Francisco, CA 94132 Berkeley, CA 947203840
USA USA
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ISSN 0172-6056
ISBN 978-1-4419-1620-4 e-ISBN 978-1-4419-1621-1
DOI -1-4419-1621-1
Springer New York Dordrecht Heidelberg London
Library of Congress Control Number:2009940318
Mathematics Subject Classification (2000): 26-01, 26Bxx, 40-01, 40Bxx
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Preface
Calculus of real-valued functions of several real variables, also known as mul-