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Invariance Theory, the Heat Equation and the Atiyah-Singer Index Theorem pdf epub mobi txt 電子書下載 2024

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Peter B. Gilkey

CRC-Press

1995-02-01

536

USD 120.95

Hardcover

9780849378744

圖書標籤: 數學微分幾何指標定理 Math 熱方程幾何 this 微分幾何7

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发表于2024-05-12

Invariance Theory, the Heat Equation and the Atiyah-Singer Index Theorem epub 下載 mobi 下載 pdf 下載 txt 電子書下載 2024

Invariance Theory, the Heat Equation and the Atiyah-Singer Index Theorem pdf epub mobi txt 電子書下載 2024

圖書描述

This book treats the Atiyah-Singer index theorem using the heat equation, which gives a local formula for the index of any elliptic complex. Heat equation methods are also used to discuss Lefschetz fixed point formulas, the Gauss-Bonnet theorem for a manifold with smooth boundary, and the geometrical theorem for a manifold with smooth boundary. The author uses invariance theory to identify the integrand of the index theorem for classical elliptic complexes with the invariants of the heat equation.

Invariance Theory, the Heat Equation and the Atiyah-Singer Index Theorem 下載 mobi epub pdf txt 電子書