文档介绍：David Bachman A Geometric Approachto Differential FormsSecond EditionISBN 978-0-8176-8303-0e-ISBN 978-0-8176-830 -DOI -0-8176-830 -Library of Congress Control Number: Mathematics Subject Classification (2010Springer New York Dordrecht Heidelberg London 4 74 7): 53-01, 53A04, 53A05, 53A45, 53B21, 58A10, 58A12, 58A152011940222David BachmanDepartment of Mathematics1050 N. Mills AvenueClaremont, CA 91711Pitzer ******@? Springer Science+Business Media, LLC 2006, 2012Printed on acid-free paper All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Birkh?user Boston, c/o Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights. Birkh?user Boston is part of Springer Science+Business Media () Preface to the Second EditionThe 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 multivariablecalculus, vector calculus, or linear algebra was assumed. After receiving lotsof reader feedback to the ?rst edition, it became clear that the people readingthis book were more advanced. Hence,for the second edition, most of thematerial on basic topics such as partial derivatives and multiple integrals hasbeen removed, and more advanced applications of di?erential forms have larges