数学天书中的证明（第4版）

图书标准信息

• 作者 [德]齐格勒（Aigner M.） 著
• 出版社 世界图书出版公司
• 出版时间 2013-10
• 版次 4
• ISBN 9787510061486
• 定价 69.00元
• 装帧 平装
• 开本 16开
• 纸张 胶版纸
• 页数 274页
• 正文语种 英语

【内容简介】

　　PaulErdoslikedtotalkaboutTheBook，inwhichGodmaintainstheperfectproofsformathematicaltheorems，followingthedictumofG.H.Hardythatthereisnopermanentplaceforuglymathematics.ErdosalsosaidthatyouneednotbelieveinGodbut，asamathematician，youshouldbelieveinTheBook.Afewyearsago，wesuggestedtolumtowriteupafirst（andverymodest）approximationtoTheBook.Hewasenthusiasticabouttheideaand，characteristically，wenttoworkimmediately，fillingpageafterpagewithhissuggestions.OurbookwassupposedtoappearinMarch1998asapresenttoErdos'85thbirthday.WithPaul'sunfortunatedeathinthesummerof1996，heisnotlistedasaco-author.Insteadthisbookisdedicatedtohismemory.

【目录】

NumberTheory
1.Sixproofsoftheinfinityofprimes
2.Bertrand'spostulate
3.Binomialcoefficientsare(almost)neverpowers
4.Representingnumbersassumsoftwosquares
5.Thelawofquadraticreciprocity
6.Everyfirutedivisionringisafield
7.Someirrationalnumbers
8.Threetimes∏2/6

Geometry
9.Hilbert'stlurdproblem:decomposingpolyhedra
10.Linesintheplaneanddecompositionsofgraphs
11.Theslopeproblem
12.ThreeapplicationsofEuler'sformula
13.Cauchy'srigiditytheorem
14.Touchingsimplices
15.Everylargepointsethasanobtuseangle
16.Borsuk'sconjecture

Analysis
17.Inpraiseofinequalities
19.Thefundamentaltheoremofalgebra
20.Onesquareandanoddnumberoftriangles
21.AtheoremofPolyaonpolynomials
22.OnalemmaofLittlewoodandOfford
23.CotangentandtheHerglotztrick
24.Buffon'sneedleproblem

Combinatorics
25.Pigeon-holeanddoublecounting
26.Tilingrectangles
27.Threefamoustheoremsonfinitesets
28.Shufflingcards
29.Latticepathsanddeterminants
30.Cayley'sformulaforthenumberoftrees
31.IdenMesversusbijections
32.CompletingLatinsquares

GraphTheory
33.TheDinitzproblem
34.Five-coloringplanegraphs
35.Howtoguardamuseum
36.Turan'sgraphtheorem
37.Communicatingwithouterrors
38.ThechromaticnumberofKnesergraphs
39.Offriendsandpoliticians
40.Probabilitymakescounting(sometimes)easy

AbouttheIllustrations
Index