{"product_id":"differential-geometry-of-curves-and-surfaces-a-concise-guide-0817643842","title":"Differential Geometry of Curves and Surfaces: A Concise Guide","description":"\u003cp\u003e\u003cstrong\u003eISBN:\u003c\/strong\u003e 0817643842\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eAuthor:\u003c\/strong\u003e Toponogov, Victor A.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eCondition:\u003c\/strong\u003e New\u003c\/p\u003e\u003cp\u003eThis concise guide to the differential geometry of curves and surfaces can be recommended to ?rst-year graduate students, strong senior students, and students specializing in geometry. The material is given in two parallel streams. The ?rst stream contains the standard theoretical material on differential ge- etry of curves and surfaces. It contains a small number of exercises and simple problems of a local nature. It includes the whole of Chapter 1 except for the pr- lems (Sections 1.5, 1.7, 1.10) and Section 1.11, about the phase length of a curve, and the whole of Chapter 2 except for Section 2.6, about classes of surfaces, T- orems 2.8.1-2.8.4, the problems (Sections 2.7.4, 2.8.3) and the appendix (S- tion 2.9). The second stream contains more dif?cult and additional material and for- lations of some complicated but important theorems, for example, a proof of A.D. Aleksandrovs comparison theorem about the angles of a triangle on a convex 1 surface, formulations of A.V. Pogorelovs theorem about rigidity of convex s- faces, and S.N. Bernsteins theorem about saddle surfaces. In the last case, the formulations are discussed in detail. A distinctive feature of the book is a large collection (80 to 90) ofnonstandard andoriginalproblems that introduce the student into the real world of geometry.\u003c\/p\u003e","brand":"Mia Karts","offers":[{"title":"Default Title","offer_id":68079675441440,"sku":"NEW0817643842","price":45.54,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0980\/7426\/3840\/files\/51Zc8nzlW5L.jpg?v=1793502098","url":"https:\/\/miakarts.com\/products\/differential-geometry-of-curves-and-surfaces-a-concise-guide-0817643842","provider":"Miakarts Books","version":"1.0","type":"link"}