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ISBN: 9812386580 9789812386588 9789810246853 9810246854 9810246862 9789810246860 Year: 2001 Volume: 4 Publisher: River Edge (N.J.): World scientific,
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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.
Contents:
Chern classes. --- Index theorems. --- Complexes. --- Linear complexes --- Algebras, Linear --- Coordinates --- Geometry --- Line geometry --- Transformations (Mathematics) --- Differential operators --- Global analysis (Mathematics) --- Index theory (Mathematics) --- Manifolds (Mathematics) --- Chern characteristic classes --- Chern's characteristic classes --- Chern's classes --- Classes, Chern --- Characteristic classes
Book
ISBN: 9787564116194 7564116196 Year: 2009 Publisher: Nanjing : Dong nan da xue chu ban she,
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City planning --- Public spaces --- Urbanisme --- Espaces publics
Book
ISSN: 03031179 Year: 2008 Publisher: Paris Société mathématique de France
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Book
ISBN: 9782856292556 Year: 2008 Publisher: Paris Société mathématique de France
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ISBN: 1281912069 9786611912062 9812772529 9789812772527 9812703772 9789812703774 9781281912060 6611912061 Year: 2006 Publisher: Hackensack, NJ World Scientific
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This volumes provides a comprehensive review of interactions between differential geometry and theoretical physics, contributed by many leading scholars in these fields. The contributions promise to play an important role in promoting the developments in these exciting areas. Besides the plenary talks, the coverage includes: models and related topics in statistical physics; quantum fields, strings and M-theory; Yang-Mills fields, knot theory and related topics; K-theory, including index theory and non-commutative geometry; mirror symmetry, conformal and topological quantum field theory; devel
Book
ISBN: 9789819984541 9819984548 Year: 2024 Publisher: Singapore : Springer Nature Singapore : Imprint: Springer,
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This book highlights quantum optics technologies that can revolutionize the way we encode, store, transmit, and handle information. These technologies can help us overcome bottlenecks in classical physics-based information technology in information transmission capacity, computing speed, and information security. The book provides readers with new perspectives on potential applications of the quantum theory. Besides, the book summaries the research advances in quantum optics and atom optics, including manipulation and construction of the quantum states of photons and even atoms, molecules, and matter at the quantum level, and new phenomena and technologies brought about by the interactions between photons and the quantum states of matter. The book provides extensive and thoroughly exhaustive coverage of quantum optics. It is suitable for researchers and graduate students of optical physics and quantum optics.
Quantum optics. --- Quantum computers. --- Quantum communication. --- Atoms. --- Molecules. --- Quantum Optics. --- Quantum Computing. --- Quantum Communications and Cryptography. --- Atomic, Molecular and Chemical Physics.
Digital
ISBN: 9789819984541 9789819984534 9789819984558 9789819984565 Year: 2024 Publisher: Singapore Springer Nature
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Book
Year: 1992 Publisher: Paris Société mathématique de France
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Book
Year: 1992 Publisher: Paris Société mathématique de France
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Film
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En Chine, au Xe siècle, on s'apprête à célébrer la fête de Chong Yang. Des milliers de chrysanthèmes dorés ont été disposés dans le palais impérial où règne la la dynastie Hou Tang. Pour célébrer ce grand jour en famille, l'Empereur revient au palais avec son deuxième fils, le prince Jai. Cependant, étant donné la froideur de ses relations avec l'Impératrice, sa venue pour la fête ne pourrait être qu'un prétexte
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