This， the seventh edition of Mathematical Methods for Physicists， maintains the tradition set by the six previous editions and continues to have as its objective the presentation of all the mathematical methods that aspiring scientists and engineers are likely to encounter as students and beginning researchers. While the organization of this edition differs in some respects from that of its predecessors， the presentation style remains the same： Proofs are sketched for almost all the mathematical relations introduced in the book， and they are accompanied by examples that illustrate how the mathematics applies to real-world physics problems. Large numbers of exercises provide opportunities for the student to develop skill in the use of the mathematical concepts and also show a wide variety of contexts in which the mathematics is of practical use in physics.
作者簡(jiǎn)介
暫缺《物理學(xué)家用的數(shù)學(xué)方法（第7版）》作者簡(jiǎn)介
圖書(shū)目錄
1 Mathematical Preliminaries 1.1 InfiniteSeries 1.2 Series ofFunctions 1.3 Binomial Theorem 1.4 Mathematical Induction 1.5 Operations on Series Expansions of Functions 1.6 Some Important Series 1.7 Vectors 1.8 Complex Numbers and Functions 1.9 Derivatives andExtrema 1.10 Evaluation oflntegrals 1.1 I Dirac Delta Function AdditionaIReadings 2 Determinants and Matrices 2.1 Determinants 2.2 Matrices AdditionaI Readings 3 Vector Analysis 3.1 Review ofBasic Properties 3.2 Vectors in 3-D Space 3.3 Coordinate Transformations 3.4 Rotations in IR3 3.5 Differential Vector Operators 3.6 Differential Vector Operators: Further Properties 3.7 Vectorlntegration 3.8 Integral Theorems 3.9 PotentiaITheory 3.10 Curvilinear Coordinates AdditionaIReadings 4 Tensors and Differential Forms 4.1 TensorAnalysis 4.2 Pseudotensors, Dual Tensors 4.3 Tensors in General Coordinates 4.4 Jacobians 4.5 DifferentialForms 4.6 DifferentiatingForms 4.7 IntegratingForms AdditionalReadings 5 Vector Spaces 5.1 Vectors in Function Spaces 5.2 Gram-Schmidt Orthogonalization 5.3 Operators 5.4 SelfAdjointOperators 5.5 Unitaty Operators 5.6 Transformations of Operators 5.7 Invariants 5.8 Summary-Vector Space Notation AdditionaIReadings 6 Eigenvalue Problems 6.1 EigenvalueEquations 6.2 Matrix Eigenvalue Problems 6.3 Hermitian Eigenvalue Problems 6.4 Hermitian Matrix Diagonalization 6.5 NormaIMatrices AdditionalReadings 7 Ordinary DifTerential Equations 7.1 Introduction 7.2 First-OrderEquations 7.3 ODEs with Constant Coefficients 7.4 Second-Order Linear ODEs 7.5 Series Solutions-Frobenius ' Method 7.6 OtherSolutions …… 8 Sturm-Liouville Theory 9 Partial Differential Equations 10 Green's Functions 11 Complex Variable Theory 12 Further Topics in Analysis 13 GammaFunction 14 Bessel Functions 15 Legendre Functions 16 Angular Momentum 17 Group Theory 18 More Special Functions 19 Fourier Series 20 IntegraITransforms 21 IntegraIEquations 22 Calculus of Variations 23 Probability and Statistics Index
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