数学指南

数学指南

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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

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

分类: 自然科学

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

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