Differential Geometry of Curves and Surfaces: A Concise Guide - Image 1

£59.98

Birkhauser Differential Geometry of Curves and Surfaces: A Concise Guide

Name: Differential Geometry of Curves and Surfaces: A Concise Guide
Brand: Birkhauser
Price: 59.98 GBP
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Geometry & Topology

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Description

This 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. Aleksandrov’s comparison theorem about the angles of a triangle on a convex 1 surface, formulations of A.V. Pogorelov’s theorem about rigidity of convex s- faces, and S.N. Bernstein’s 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.

Product Specifications

Brand: Birkhauser
Format: paperback
ASIN: 0817643842
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Geometry & Topology
Domain: Amazon UK
Release Date: 05 December 2005
Listed Since: 12 December 2006

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Birkhauser Differential Geometry of Curves and Surfaces: A Concise Guide

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