文档介绍：David Bachman
A Geometric Approach
to Differential Forms
Second Edition
David Bachman
Pitzer College
Department of Mathematics
1050 N. Mills Avenue
Claremont, CA 91711
USA
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ISBN 978-0-8176-8303-0 e-ISBN 978-0-8176-8304-7
DOI -0-8176-8304-7
Springer New York Dordrecht Heidelberg London
Library of Congress Control Number: 2011940222
Mathematics Subject Classification (2010): 53-01, 53A04, 53A05, 53A45, 53B21, 58A10, 58A12, 58A15
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Preface to the Second Edition
The original edition of this book was written to be accessible to sophomore-
level undergraduates, who had only seen one year of a standard calculus se-
quence. In particular, for most of the text, no prior exposure to multivariable
calculus, vector calculus, or linear algebra was assumed. After receiving lots
of reader feedback to the first edition, it became clear that the people reading
this book were more advanced. Hence, for the second edition, most of the
material on basic topics such as partial derivatives and multiple integrals has
been removed, and more