Free download скачать Basic Elements of Differential Geometry and Topology by S. P. Novikov , A. T. Fomenko
English | PDF | 1990 | 499 Pages | ISBN : 0792310098 | 28.9 MB
For  a number  of  years, beginning with the early 70's, the authors have been delivering lectures on the fundamentals  of  geometry and topology in the Faculty  of Mechanics and Mathematics  of  Moscow State University. This text-book is the result of  this work.  We  shall recall that for a long period  of  time the basic elements  of modern geometry and topology were not included, even  by  departments and faculties of  mathematics, as compulsory subjects in a university-level mathematical education. The  standard courses in classical differential geometry have gradually become outdated, and there has been, hitherto, no unanimous standpoint  as  to  which parts  of modern geometry should be viewed as abolutely essential  to  a modern mathematical education. In view  of  the necessity  of  using a large number  of  geometric concepts and methods, a modernized course in geometry was begun  in  1971 in the Mechanics division  of  the Faculty  of  Mechanics and Mathematics  of  Moscow State University. In addition to the traditional geometry  of  curves and surfaces, the course included the fundamental priniciples  of  tensor analysis, Riemannian geometry and topology. Some time later this course was also introduced in the division  of  mathematics. On the basis  of  these lecture courses

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