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    Invariance Theory

Invariance Theory

Peter B. Gilkey, Steven G. Krantz
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      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.
      Format: CONTRIBUTORS: Peter B. Gilkey, Steven G. Krantz EAN: 9780849378744 COUNTRY: United States PAGES: WEIGHT: 1110 g HEIGHT: 234 cm
      PUBLISHED BY: Taylor & Francis Inc DATE PUBLISHED: 1994-12-22 CITY: GENRE: MATHEMATICS / General, MATHEMATICS / Applied, SCIENCE / Physics / General, TECHNOLOGY & ENGINEERING / Mechanical WIDTH: 156 cm SPINE:

      Book Themes:

      Applied mathematics, Applied physics, Life sciences: general issues, Mechanical engineering, Environmental science, engineering and technology

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      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.
      Format: CONTRIBUTORS: Peter B. Gilkey, Steven G. Krantz EAN: 9780849378744 COUNTRY: United States PAGES: WEIGHT: 1110 g HEIGHT: 234 cm
      PUBLISHED BY: Taylor & Francis Inc DATE PUBLISHED: 1994-12-22 CITY: GENRE: MATHEMATICS / General, MATHEMATICS / Applied, SCIENCE / Physics / General, TECHNOLOGY & ENGINEERING / Mechanical WIDTH: 156 cm SPINE:

      Book Themes:

      Applied mathematics, Applied physics, Life sciences: general issues, Mechanical engineering, Environmental science, engineering and technology

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