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ISBN
:
9789810246860
Publisher
:
World Scientific Publishing Company
Subject
:
Medical Study & Revision Guides & Reference Material
Binding
:
Paperback
Year
:
2001
₹
6525.0
₹
5937.0
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Based on the notes of a graduate course on differential geometry which the author gave at the Nankai Institute of Mathematics, this volume consists of two parts: the first part contains an introduction to the geometric theory of characteristic classes due to Shiing-shen Chern and Andr Weil, as well as a proof of the Gauss-Bonnet-Chern theorem based on the Mathai-Quillen construction of Thom forms; the second part presents analytic proofs of the Poincar-Hopf index formula, as well as the Morse inequalities based on deformations introduced by Edward Witten.
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