{"product_id":"differential-geometry-paperback-5","title":"Differential Geometry - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eVictor V. Prasolov\u003c\/b\u003e (Author), \u003cb\u003eOlga Sipacheva\u003c\/b\u003e (Translator)\u003c\/p\u003e\u003cp\u003eThis book combines the classical and contemporary approaches to differential geometry. An introduction to the Riemannian geometry of manifolds is preceded by a detailed discussion of properties of curves and surfaces.\u003c\/p\u003e\u003cp\u003eThe chapter on the differential geometry of plane curves considers local and global properties of curves, evolutes and involutes, and affine and projective differential geometry. Various approaches to Gaussian curvature for surfaces are discussed. The curvature tensor, conjugate points, and the Laplace-Beltrami operator are first considered in detail for two-dimensional surfaces, which facilitates studying them in the many-dimensional case. A separate chapter is devoted to the differential geometry of Lie groups.\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003ch3\u003eBack Jacket\u003c\/h3\u003e\u003cp\u003eThis book combines the classical and contemporary approaches to differential geometry. An introduction to the Riemannian geometry of manifolds is preceded by a detailed discussion of properties of curves and surfaces.\u003c\/p\u003e\u003cp\u003eThe chapter on the differential geometry of plane curves considers local and global properties of curves, evolutes and involutes, and affine and projective differential geometry. Various approaches to Gaussian curvature for surfaces are discussed. The curvature tensor, conjugate points, and the Laplace-Beltrami operator are first considered in detail for two-dimensional surfaces, which facilitates studying them in the many-dimensional case. A separate chapter is devoted to the differential geometry of Lie groups.\u003cbr\u003e\u003c\/p\u003e\u003cbr\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eVictor Prasolov, born 1956, is a permanent teacher of mathematics at the Independent University of Moscow. He published two books with Springer, \u003ci\u003ePolynomials\u003c\/i\u003e and \u003ci\u003eAlgebraic Curves. Towards Moduli Spaces \u003c\/i\u003e(jointly with M. E. Kazaryan and S. K. Lando) and eight books with AMS, including \u003ci\u003eProblems and Theorems in Linear Algebra\u003c\/i\u003e, \u003ci\u003eIntuitive Topology\u003c\/i\u003e, \u003ci\u003eKnots, Links, Braids, and 3-Manifolds\u003c\/i\u003e (jointly with A. B. Sossinsky), and \u003ci\u003eElliptic Functions and Elliptic Integrals \u003c\/i\u003e(jointly with Yu. Solovyev).\u003c\/p\u003e\u003cbr\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 271\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.6 x 9.21 x 6.14 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e February 11, 2023\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":47337158902009,"sku":"9783030922511","price":97.18,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0789\/2782\/3097\/files\/zg1FKoM7n9783030922511.webp?v=1769675253","url":"https:\/\/bookscloud.io\/products\/differential-geometry-paperback-5","provider":"BooksCloud Book Dropshipping","version":"1.0","type":"link"}