A Short Course in Differential Geometry and Topology - Hardcover

A.T. Fomenko

9781904868323: A Short Course in Differential Geometry and Topology

Hardcover

ISBN 10: 1904868320 ISBN 13: 9781904868323

Publisher: Cambridge Scientific Publishers, 2009

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The book covers general topology, nonlinear co-ordinate systems, theory of smooth manifolds, theory of curves and surfaces, transformation groups,tensor analysis and Riemannian geometry, theory of integration and homologies, fundamental groups and variational principles in Riemannian geometry. The text is intended for graduate and research students in mathematics and physics. The text is presented in a form that is easily accessible to students and is supplemented by a large number of examples, problems, drawings and appendices.

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About the Author

Anatoly Fomenko is a full member of Russian Academy of Sciences and Professor, Head of Department of Differential Geometry and Applications, Faculty of Mechanics and Mathematics, Moscow State University. He is a well known specialist and author of fundamental results in geometry, topology, multidimensional calculus of variations, Hamiltonian mechanics and computer geometry. Alexander S. Mishchenko is a Professor in the Department of Higher Geometry and Topology, Faculty of Mechanics and Mathematics, Moscow State University. He is a well known author and specialist in algebraic topology, symplectic topology, functional analysis, differential equations and applications.

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