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Lectures In Geometry: Semester II - Linear Algebra And Differential Geometry by M. Postnikov

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TitleLectures In Geometry: Semester II - Linear Algebra And Differential Geometry
CreatorM. Postnikov
Year1982
PPI300
Mediatypetexts
Subjectgeometry, soviet, mathematics, differential geometry, linear algebra, vector spaces, matrix rank theorem, subspaces, annulet, tensors, multilinear functionals, cartan's divisibility theorem, symmetric bilinear functionals, jacobi theorem, hypersurfaces, linear operators, unitary spaces, smooth functions, curves, indicatrix of Dupin, surfaces of revolution, isometry, Weingarten’s derivation formulas, gauss's theorem
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Identifierpostnikov-lectures-in-geometry-semester-ii-linear-algebra-and-differential-geometry
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Description

 This textbook directly continues the first volume of a course of geometry (M . M, Postnikov. Lectures in Geometry: Semester t Analytic Geometry. Moscow, Mir Publishers, 1981) based on lectures read by the author at Moscow University for students specializing in mathematics. It contains 27 lectures, each a nearly exact reproduction of an original lecture. It treats linear algebra, with elementary differential geometry of curves and surfaces in three- dimensional space added to pave the way for further discussions.