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.
用来开拓眼界挺好的
评分用来开拓眼界挺好的
评分越看到后面越觉得难以读懂。。。还不如直接看他引用的那几篇paper。。。 zhangweiping当然是国内这方面第一人,写的好像太简陋了。。。要不是我东看西看了这方面的野知识很难看完。。。但是看掉的部分也足够我做毕设了,所以就不看啦。
评分用来开拓眼界挺好的
评分越看到后面越觉得难以读懂。。。还不如直接看他引用的那几篇paper。。。 zhangweiping当然是国内这方面第一人,写的好像太简陋了。。。要不是我东看西看了这方面的野知识很难看完。。。但是看掉的部分也足够我做毕设了,所以就不看啦。
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