دانلود کتاب Invariance Theory: The Heat Equation and the Atiyah-Singer Index Theorem

Name: Invariance Theory: The Heat Equation and the Atiyah-Singer Index Theorem
Availability: InStock
Author: Gilkey, Peter B.
ISBN: 9781351436434,1351436430

by Gilkey, Peter B., Krantz, Steven George

عنوان فارسی: Theory of Invariance: معادله گرما و قضیه Index Atiyah-Singer
ناشر: Chapman and Hall/CRC
سال: 2018
ویرایش: 2nd ed
زبان: انگلیسی
تعداد صفحه (نسخه چاپی - نسخه الکترونیکی): 531-531
شابک: 9781351436434,1351436430
نوع فایل: PDF دانلود نرم افزار مطالعه
حجم: 20.95 مگابایت

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جزییات کتاب

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.