This invaluable book is based on the notes of a graduate course on differential geometry which the author gave at the Nankai Institute of Mathematics. It consists of two parts: the first part contains an introduction to the geometric theory of characteristic classes due to Shiing-shen Chern and Andre 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 Poincare-Hopf index formula, as well as the Morse inequalities based on deformations introduced by Edward Witten.
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भाषा अंग्रेज़ी ● स्वरूप PDF ● पेज 132 ● ISBN 9789814490627 ● प्रकाशक World Scientific Publishing Company ● प्रकाशित 2001 ● डाउनलोड करने योग्य 3 बार ● मुद्रा EUR ● आईडी 8098344 ● कॉपी सुरक्षा Adobe DRM
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