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ISBN: 0070406871 9780070406872 Year: 1983 Publisher: Auckland : McGraw-Hill,
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ISBN: 0443061572 9780443061578 Year: 2003 Publisher: Edinburgh ; New York, NY ; London : Churchill Livingstone,
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ISBN: 3540198415 0387198415 1447120671 1447120655 9780387198415 9783540198413 Year: 1994 Publisher: Berlin : Springer,
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ISBN: 9783037190500 3037190507 Year: 2008 Publisher: Zürich, Switzerland European Mathematical Society
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"This book gives an introduction to the basics of differential geometry, keeping in mind the natural origin of many geometrical quantities, as well as the applications of differential geometry and its methods to other sciences." "The book is based on lectures the author held repeatedly at Novosibirsk State University. It is addressed to students as well as to anyone who wants to learn the basics of differential geometry."--Jacket.
ISBN: 0201172089 Year: 1991 Publisher: Reading, Mass. Addison-Wesley
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ISBN: 0821816888 Year: 1978 Publisher: Providence, R.I.
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ISBN: 0201808757 9780201808759 Year: 1996 Publisher: Reading Addison-Wesley
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ISBN: 9780521133111 9781139022248 9780521116077 9781139775595 1139775596 1139781626 9781139781626 1139022245 0521116074 0521133114 1139793012 131608860X 1107253187 1139778633 1283715597 1139777114 Year: 2013 Publisher: Cambridge Cambridge University Press
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"The development of geometry from Euclid to Euler to Lobachevsky, Bolyai, Gauss, and Riemann is a story that is often broken into parts - axiomatic geometry, non-Euclidean geometry, and differential geometry. This poses a problem for undergraduates: Which part is geometry? What is the big picture to which these parts belong? In this introduction to differential geometry, the parts are united with all of their interrelations, motivated by the history of the parallel postulate. Beginning with the ancient sources, the author first explores synthetic methods in Euclidean and non-Euclidean geometry and then introduces differential geometry in its classical formulation, leading to the modern formulation on manifolds such as space-time. The presentation is enlivened by historical diversions such as Hugyens's clock and the mathematics of cartography. The intertwined approaches will help undergraduates understand the role of elementary ideas in the more general, differential setting. This thoroughly revised second edition includes numerous new exercises and a new solution key. New topics include Clairaut's relation for geodesics, Euclid's geometry of space, further properties of cycloids and map projections, and the use of transformations such as the reflections of the Beltrami disk"--
ISBN: 1107126886 128041474X 9786610414741 0511169566 0511065582 051120552X 0511308418 0511546696 0511067712 9780511065583 9780511067716 9780511546693 9780511546693 0521535697 9780521535694 9780511059278 0511059272 Year: 2003 Publisher: Cambridge ; New York : Cambridge University Press,
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This book introduces the reader to the geometry of surfaces and submanifolds in the conformal n-sphere. Various models for Möbius geometry are presented: the classical projective model, the quaternionic approach, and an approach that uses the Clifford algebra of the space of homogeneous coordinates of the classical model; the use of 2-by-2 matrices in this context is elaborated. For each model in turn applications are discussed. Topics comprise conformally flat hypersurfaces, isothermic surfaces and their transformation theory, Willmore surfaces, orthogonal systems and the Ribaucour transformation, as well as analogous discrete theories for isothermic surfaces and orthogonal systems. Certain relations with curved flats, a particular type of integrable system, are revealed. Thus this book will serve both as an introduction to newcomers (with background in Riemannian geometry and elementary differential geometry) and as a reference work for researchers.
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ISBN: 9814541818 1306120349 9781306120340 9789814541817 Year: 2014 Publisher: New Jersey : World Scientific,
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This volume consists of contributions by the main participants of the 3rd International Colloquium on Differential Geometry and its Related Fields (ICDG2012), which was held in Veliko Tarnovo, Bulgaria. Readers will find original papers by specialists and well-organized reports of recent developments in the fields of differential geometry, complex analysis, information geometry, mathematical physics and coding theory. This volume provides significant information that will be useful to researchers and serves as a good guide for young scientists. It is also for those who wish to start investigat
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