普林斯顿数学指南 影印版

图书标准信息

• 作者 [美]格沃斯（Gowers T.） 著
• 出版社 世界图书出版公司
• 出版时间 2013-01
• 版次 1
• ISBN 9787510050688
• 定价 199.00元
• 装帧 平装
• 开本 16开
• 纸张 胶版纸
• 页数 1034页
• 正文语种 英语
• 原版书名 The Princeton Companion to Mathematics

【内容简介】

　　《数学指南（英文版）》主要内容包括：Preface、Contributors、Introduction、TheOriginsofModernMathematics、MathematicalConcepts、TheoremsandProblems、Mathematicians、TheInfluenceofMathematics、FinalPerspectives等。

【目录】

Preface
Contributors

PartⅠIntroduction
Ⅰ.1WhatIsMathematicsAbout?
Ⅰ.2TheLanguageandGrammarofMathematics
Ⅰ.3SomeFundamentalMathematicalDefinitions
Ⅰ.4TheGeneralGoalsofMathematicalResearch

PartⅡTheOriginsofModernMathematics
Ⅱ.1FromNumberstoNumberSystems
Ⅱ.2Geometry
Ⅱ.3TheDevelopmentofAbstractAlgebra
Ⅱ.4Algorithms
Ⅱ.5TheDevelopmentofRigorinMathematicalAnalysis
Ⅱ.6TheDevelopmentoftheIdeaofProof
Ⅱ.7TheCrisisintheFoundationsofMathematics

PartⅢMathematicalConcepts
Ⅲ.1TheAxiomofChoice
Ⅲ.2TheAxiomofDeterminacy
Ⅲ.3BayesianAnalysis
Ⅲ.4BraidGroups
Ⅲ.5Buildings
Ⅲ.6Calabi-YauManifolds
Ⅲ.7Cardinals
Ⅲ.8Categories
Ⅲ.9CompactnessandCompactification
Ⅲ.10ComputationaIComplexityClasses
Ⅲ.11CountableandUncountableSets
Ⅲ.12C*.Algebras
Ⅲ.13Curvature
Ⅲ.14Designs
Ⅲ.15Determinants
Ⅲ.16DifferentialFormsandlntegration
Ⅲ.17Dimension
Ⅲ.18Distributions
Ⅲ.19Duality
Ⅲ.20DynamicalSystemsandChaos
Ⅲ.21EllipticCurves
Ⅲ.22TheEuclideanAlgorithmandContinuedFractions
Ⅲ.23TheEulerandNavier-StokesEquations
Ⅲ.24Expanders
Ⅲ.25TheExponentialandLogarithmicFunctions
Ⅲ.26TheFastFourierTransform
Ⅲ.27TheFourierTransform
Ⅲ.28FuchsianGroups
Ⅲ.29FunctionSpaces
Ⅲ.30GaloisGroups
Ⅲ.31TheGammaFunction
Ⅲ.32GeneratingFunctions
Ⅲ.33Genus
Ⅲ.34Graphs
Ⅲ.35Hamiltonians
Ⅲ.36TheHeatEquation
Ⅲ.37HilbertSpaces
Ⅲ.38HomologyandCohomology
Ⅲ.39HomotopyGroups
Ⅲ.40TheIdealClassGroup
Ⅲ.41IrrationalandTranscendentalNumbers
Ⅲ.42TheIsingModel
Ⅲ.43JordanNormaIForm
Ⅲ.44KnotPolynomials
Ⅲ.45K-Theory
Ⅲ.46TheLeechlattice
Ⅲ.47L-Functions
Ⅲ.48LieTheory
Ⅲ.49LinearandNonlinearWavesandSolitons
Ⅲ.50LinearOperatorsandTheirProperties
Ⅲ.51LocalandGlobalinNumberTheory
Ⅲ.52TheMandelbrotSet
Ⅲ.53Manifolds
Ⅲ.54Matroids
Ⅲ.55Measures
……

PartⅤTheoremsandProblems
PartⅥMathematicians
PartⅦTheInfluenceofMathematics
PartⅧFinalPerspectives
Index