物理学家用的数学方法（第7版）

图书标准信息

• 作者 [英]阿夫肯（Arfken G.B.） 著
• 出版社 世界图书出版公司
• 出版时间 2014-03
• 版次 7
• ISBN 9787510070754
• 定价 249.00元
• 装帧 精装
• 开本 16开
• 纸张 胶版纸
• 页数 1205页
• 正文语种 英语
• 丛书 经典物理学丛书

【内容简介】

　　This，theseventheditionofMathematicalMethodsforPhysicists，maintainsthetraditionsetbythesixpreviouseditionsandcontinuestohaveasitsobjectivethepresentationofallthemathematicalmethodsthataspiringscientistsandengineersarelikelytoencounterasstudentsandbeginningresearchers.Whiletheorganizationofthiseditiondiffersinsomerespectsfromthatofitspredecessors，thepresentationstyleremainsthesame:Proofsaresketchedforalmostallthemathematicalrelationsintroducedinthebook，andtheyareaccompaniedbyexamplesthatillustratehowthemathematicsappliestoreal-worldphysicsproblems.Largenumbersofexercisesprovideopportunitiesforthestudenttodevelopskillintheuseofthemathematicalconceptsandalsoshowawidevarietyofcontextsinwhichthemathematicsisofpracticaluseinphysics.

【目录】

Preface
1MathematicalPreliminaries
1.1InfiniteSeries
1.2SeriesofFunctions
1.3BinomialTheorem
1.4MathematicalInduction
1.5OperationsonSeriesExpansionsofFunctions
1.6SomeImportantSeries
1.7Vectors
1.8ComplexNumbersandFunctions
1.9DerivativesandExtrema
1.10Evaluationoflntegrals
1.1IDiracDeltaFunction
AdditionaIReadings

2DeterminantsandMatrices
2.1Determinants
2.2Matrices
AdditionaIReadings

3VectorAnalysis
3.1ReviewofBasicProperties
3.2Vectorsin3-DSpace
3.3CoordinateTransformations
3.4RotationsinIR3
3.5DifferentialVectorOperators
3.6DifferentialVectorOperators:FurtherProperties
3.7Vectorlntegration
3.8IntegralTheorems
3.9PotentiaITheory
3.10CurvilinearCoordinates
AdditionaIReadings

4TensorsandDifferentialForms
4.1TensorAnalysis
4.2Pseudotensors,DualTensors
4.3TensorsinGeneralCoordinates
4.4Jacobians
4.5DifferentialForms
4.6DifferentiatingForms
4.7IntegratingForms
AdditionalReadings

5VectorSpaces
5.1VectorsinFunctionSpaces
5.2Gram-SchmidtOrthogonalization
5.3Operators
5.4SelfAdjointOperators
5.5UnitatyOperators
5.6TransformationsofOperators
5.7Invariants
5.8Summary-VectorSpaceNotation
AdditionaIReadings

6EigenvalueProblems
6.1EigenvalueEquations
6.2MatrixEigenvalueProblems
6.3HermitianEigenvalueProblems
6.4HermitianMatrixDiagonalization
6.5NormaIMatrices
AdditionalReadings

7OrdinaryDifTerentialEquations
7.1Introduction
7.2First-OrderEquations
7.3ODEswithConstantCoefficients
7.4Second-OrderLinearODEs
7.5SeriesSolutions-Frobenius'Method
7.6OtherSolutions
……
8Sturm-LiouvilleTheory
9PartialDifferentialEquations
10Green'sFunctions
11ComplexVariableTheory
12FurtherTopicsinAnalysis
13GammaFunction
14BesselFunctions
15LegendreFunctions
16AngularMomentum
17GroupTheory
18MoreSpecialFunctions
19FourierSeries
20IntegraITransforms
21IntegraIEquations
22CalculusofVariations
23ProbabilityandStatistics
Index