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 André 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 Poincaré-Hopf index formula, as well as the Morse inequalities based on deformations introduced by Edward Witten.
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Paperback. Condizione: New. 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 André 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 Poincaré-Hopf index formula, as well as the Morse inequalities based on deformations introduced by Edward Witten. Codice articolo LU-9789810246860
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Paperback. Condizione: new. Paperback. 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. Based on the notes of a graduate course on differential geometry, this volume contains an introduction to the geometric theory of characteristic classes due to Shiing-shen Chern and Andr Weil, as well as presenting the Morse inequalities based on deformations introduced by Edward Witten. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9789810246860
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Condizione: Used - Very Good. VG paperback. A clean, tidy copy. Nankai Tracts in Mathematics, vol. 4. 118pp. Codice articolo BOOKS320553I
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Paperback. Condizione: new. Paperback. 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. Based on the notes of a graduate course on differential geometry, this volume contains an introduction to the geometric theory of characteristic classes due to Shiing-shen Chern and Andr Weil, as well as presenting the Morse inequalities based on deformations introduced by Edward Witten. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Codice articolo 9789810246860
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Condizione: New. InhaltsverzeichnisChern-Weil theory for characteristic classes Bott and Duistermaat-Heckman formulas Gauss-Bonnet-Chern theorem Poincar -Hopf index formula - an analytic proof morse inequalities - an analytic proof Thom-Smale and Wi. Codice articolo 909656745
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