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
装帧平装
货号1862702910460235777
上书时间2024-11-30
商品详情
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- 商品描述
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A-510118001-030-2-6
图书标准信息
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作者
[美]格沃斯(Gowers T.) 著
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出版社
世界图书出版公司
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出版时间
2013-01
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版次
1
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ISBN
9787510050688
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定价
199.00元
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装帧
平装
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开本
16开
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纸张
胶版纸
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页数
1034页
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正文语种
英语
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原版书名
The Princeton Companion to Mathematics
- 【内容简介】
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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。
- 【目录】
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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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