积分几何与几何概率
《积分几何与几何概率(英文版)》内容为:Though its title "Integral Geometry" may appear somewhat unusual in thiscontext it is nevertheless quite appropriate, for Integral Geometry is anoutgrowth of what in the olden days was referred to as "geometric probabil-ities." Originating, as legend has it, with the Buffon needle problem (which afternearly two centuries has lost little of its elegance and appeal), geometricprobabilities have run into difficulties culminating in the paradoxes ofBertrand which threatened the fledgling field with banishment from the homeof Mathematics. In rescuing it from this fate, Poincar6 made the suggestionthat the arbitrariness of definition underlying the paradoxes could be removedby tying closer the definition of probability with a geometric group of which itwould have to be an invariant.
基本信息
- 外文名
Integral Geometry and Geometric Probability
- 出版社
世界图书出版公司
- 作者
路易斯桑塔洛
- 开本
24
- 页数
404页
基本介绍
积分几何与几何概率[1]出版社: 世界图书出版公司; 第1版 (2009年5月1日)外文书名: integral geometry and geometric probability
平装: 404页
正文语种: 英语
开本: 24
isbn: 9787510004933, 7510004934
条形码: 9787510004933
商品尺寸: 22.2 x 14.8 x 2 cm
商品重量: 540 g
品牌: 世界图书出版公司北京公司
作者简介
作者:(阿根廷)路易斯桑塔洛
内容简介
《积分几何与几何概率(英文版)》内容为:Thoughitstitle"IntegralGeometry"mayappearsomewhatunusualinthiscontextitisneverthelessquiteappropriate,forIntegralGeometryisanoutgrowthofwhatintheoldendayswasreferredtoas"geometricprobabil-ities."Originating,aslegendhasit,withtheBuffonneedleproblem(whichafternearlytwocenturieshaslostlittleofitseleganceandappeal),geometricprobabilitieshaverunintodifficultiesculminatingintheparadoxesofBertrandwhichthreatenedthefledglingfieldwithbanishmentfromthehomeofMathematics.Inrescuingitfromthisfate,Poincar6madethesuggestionthatthearbitrarinessofdefinitionunderlyingtheparadoxescouldberemovedbytyingcloserthedefinitionofprobabilitywithageometricgroupofwhichitwouldhavetobeaninvariant.
目录
Editor's Statement
Foreword
Preface
Chapter 1. Convex Sets in the Plane