Geometry I几何
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作者： Marcel Berger 著
出 版 社： 河南美术出版社
出版时间： 2004-8-5字数：版次： 1页数： 427印刷时间： 2004/08/05开本： 16开印次： 1纸张： 胶版纸I S B N ： 9783540116585包装： 平装内容简介
This is the first part of the 2-volume textbook Geometry which provides a very readable and lively presentation of large parts of geometry in the classical sense.
An attractive characteristic of the book is that it appeals systematically to the reader's intuition and vision, and illustrates the mathematical text with many figures. For each topic the author presents a theorem that is esthetically pleasing and easily stated - although the proof of the same theorem may be quite hard and concealed. Many open problems and references to modern literature are given. Yet another strong trait of the book is that it provides a comprehensive and unified reference source for the field of geometry in the full breadth of its subfields and ramifications.
作者简介
MARCEL BERGER（born 1927）is and emeritus director of re-search of the french CNRS,after a career spanning both the french universities and the CNRS,and comcluded by and 9-year appointment as director of the institut de hautes etudes scien-tifique (IHES)at bures-sur-yuette.
he is the author of several very successful books on geometry,the have established his reputation as a masterly expositor of mathematics,the most recent being"a panoramic view of riemannian geometry"(springer 2003),he was also amenber of the autheor-collective arthur besse,his retirement provides him with more time to enjoy hiking and in the pyaernees with his wife ,children and grandchildren.
目录
BOLUMEⅠ
Iintroduction
Chapter0.Notation and baxkground
Chapter1.Group actions:examples and applicationg
Chapter2.affine spaces
Chapter3.Barycenters;the universal space
Chapter4.Projective spaces
Chapter5.affine-projective lines,cross-ratios,homographies
Chapter6.projective lines,cross-ratios,homographies
Chapter7.complexifications
Chapter8.euclidean vector spaces
Chapter9.euclidean affine spaces
Chapter10.triangles,spheres and circles
Chapter11.convex sets
bibliography
index of notations
index
Volume Ⅱ
Chapter12.Polytopes;compact convex sets
Chapter13.quadratic forms
Chapter14.prajective quadrics
Chapter15.affine quadrics
Chapter16.projective conics
Chapter17.euclidean conics
Chapter18.the spher for its own sake
Chapter19.elliptic and hyperbolic geometry
Chapter20.the space of shpheres
bibliography
index of notations
index