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Elementary Topics in Differential Geometry (Undergraduate Texts in Mathematics) John A. Thorpe
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Elementary Topics in Differential Geometry J.A. Starting from an undergraduate level, this book systematically develops the basics of• Calculus on manifolds, vector bundles, vector fields and differential forms,• Lie groups and Lie group actions,• Linear symplectic algebra and The book guides the reader from elementary differential geometry to advanced topics in the theory of Hamiltonian systems with the aim of making current research literature accessible. Amazon.com: Elementary Topics in Differential Geometry. Thorpe 1979 Springer 276 0387903577,9780387903576. Springer Proceedings in Mathematics #18 by Claude P. Elementary Topics in Differential Geometry (Undergraduate Texts in Mathematics) John A. In Differential Geometry (Undergraduate Texts in Mathematics) by John A. Elementary Topics in Differential Geometry--Thorpe, J.A., ISBN 978-0-387-90357-6, 1994. Geometry Local differential geometry Global. Differential geometry of curves and surfaces Differential geometry of curves. Books: Symplectic Geometry & Mirror Symmetry (Hardcover) by G. Summary: A practical elementary introduction to classical differential geometry Library), in Goetz Introduction to Differential Geometry (Addison-Wesley Series in Mathematics), Millman-Parker Elements of Differential Geometry's, do Carmo Differential Geometry of Curves and Surfaces or Klingenberg's A Course in Differential Geometry (Graduate Texts in Mathematics), all of them introductory books on DG too. Elementary Differential Geometry (Springer Undergraduate Mathematics. Differential Geometry (Springer Bruter: The link. Thorpe Undergraduate Texts in Mathematics Springer-Verlag, New York NY (1979). Joseph, D.D., ISBN 978-0-387-97068-4, 1997. Topology of Surfaces (Undergraduate Texts in Mathematics) 2007 | 296 pages | ISBN:0387941029 | PDF | 16,48 Mb This book aims to provide undergraduates with an understanding of geometric topology. UTM, 即Undergraduate Texts in Mathematics, 该系列比GTM系列出现得晚一些，也没有列序号，因此品种也略少一些，大部分是本科生数学教材，截止2009年5月，出版的书名有（书目由ccddyy9提供）： A Brief on Tensor Analysis --Simmonds, J.G., ISBN 978-0-387-94088-5, 1997. Elementary Topics in Differential Geometry (Undergraduate Texts in Mathematics) [John A. McGraw-Hill Book Company, Inc., New York NY (1988).