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Lectures on Differential Geometry(2000) 요약정보 및 구매

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지은이 S.S Chern S.S Chen K.S Lam
발행년도 1999-11-12
판수 1 판
페이지 368
ISBN 9789810241827
도서상태 구매가능
판매가격 25,000원
포인트 0점
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  • This is a translation of an introductory text based on a lecture series delivered by the renowned differential geometer, Professor S.S. Chern in Beijing University in 1980. The original Chinese text, authored by Professor Chern and Professor Wei-Huan Chen, sought to combine simplicity and economy of approach with depth of contents. The present translation is aimed at a wide audience, including (but not limited to) advanced undergraduate and graduate students in mathematics, as well as physicists interested in the diverse applications of differential geometry to physics. In addition to a thorough treatment of the fundamentals of manifold theory, exterior algebra, the exterior calculus, connections on fibre bundles, Riemannian geometry, Lie groups and moving frames, and complex manifolds (with a succinct introduction to the theory of Chern classes), and an appendix on the relationship between differential geometry and theoretical physics, this book includes a new chapter on Finsler geometry and a new appendix on the history and recent developments of differential geometry, the latter prepared specifically for this edition by Professor Chern to bring the text into perspective. 
  • 1.Differentiable Manifolds 2.Multilinear algebra 3.Exterior differential calculus 4.Connections 5.Riemannian geometry 6.Lie groups and moving frames 7.Complex manifolds 8.Finsler geometry
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