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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.
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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.
Chapter 7: Higher Dimensions and Codimensions
Chapter 8: The Second Variation
Chapter 9: Variations of Length, Area, and Volume
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