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About The Book

In this volume, Prof. Spivak moves into higher dimensions, and continues his exposition of the roots of contemporary global geometry. Another valuable inclusion is a modern treatment of a geometrically appealing, theory of submanifold invariants due to Burstin, Mayer and Allendoerfer.

Table of Contents

Chapter 7: Higher Dimensions and Codimensions

Chapter 8: The Second Variation

Chapter 9: Variations of Length, Area, and Volume

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