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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 (Undergraduate Texts in Mathematics) by: John A. Book Summary of Elementary Topics in Differential Geometry. Thorpe Undergraduate Texts in Mathematics Springer-Verlag, New York NY (1979). Elementary Topics in Differential Geometry (Undergraduate Texts in Mathematics). College Mathematics Teaching, Only Mostly Insane (by TJ) Pressley's Elementary Differential Geometry. McGraw-Hill Book Company, Inc., New York NY (1988). Graduate Texts in Mathematics series (GTM), Springer. 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. Elementary Topics in Differential Geometry--Thorpe, J.A., ISBN 978-0-387-90357-6, 1994. This introductory text develops the geometry of n-dimensional oriented surfaces in Rn+1. Elementary Topics in Differential Geometry J.A. It is time to return to the book reviews! 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. Graduate Texts in Mathematics (GTM) Designed to bridge the gap between passive study and creative understanding, this series offers advanced-level introductions to current research. Our next book is Elementary Differential Geometry, 2nd Ed by Andrew Pressley. The first edition is from 2002, with the update That is, an undergraduate with the background listed in the preface would likely struggle mightily with some of them, though for the initiated they would be not difficult. 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.