Transcription of Michael Spivak - Strange beautiful
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Michael Spivak - Strange beautiful
Michael Spivak Brandeis University Calculus on manifolds A MODERN APPROACH TO CLASSICAL THEOREMS. OF ADVANCED CALCULUS. ADDISON-WESLEY PUBLISHING COMPANY. The Advanced Book Program Reading, Massachusetts Menlo Park, California New York Don Mills, Ontario Wokingham, England Amsterdam Bonn Sydney Singapore Tokyo Madrid San Juan Paris Seoul Milan Mexico City Taipei Calculus on manifolds A Modem Approach to Classical Theorems of Advanced Calculus Copyright 1965 by Addison-Wesley Publishing Company All rights reserved Library of Congress Card Catalog Number 66-10910. Manufactured in the United States of America The manuscript was put into production on April 21, 1965.
theorem states for the higher-dimensional analogues (mani folds) which are studied thoroughly in the first part of Chapter 5. This study of manifolds, which could be justified solely on the basis of their importance in modern mathematics, actually involves no more effort than a careful study of curves and sur faces alone would require.
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