Solutions to Mathematical Methods for Physicists 7e
by Arfken and Weber
79 of 1329 listed exercises currently have solution PDFs.
Section 1.1: Infinite Series
Section 1.2: Series of Functions
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Section 1.3: Binomial Theorem
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Section 1.4: Mathematical Induction
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Section 1.5: Operations of Series Expansions of Functions
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Section 1.6: Some Important Series
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Section 1.7: Vectors
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Section 1.8: Complex Numbers and Functions
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Section 1.9: Derivatives and Extrema
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Section 1.10: Evaluation of Integrals
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Section 1.11: Dirac Delta Functions
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Section 2.1: Determinants
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Section 2.2: Matrices
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Section 3.2: Vector in 3 - D Spaces
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Section 3.3: Coordinate Transformations
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Section 3.4: Rotations in R3
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Section 3.5: Differential Vector Operators
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Section 3.6: Differential Vector Operators: Further Properties
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Section 3.7: Vector Integrations
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Section 3.8: Integral Theorems
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Section 3.9: Potential Theory
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Section 3.10: Curvilinear Coordinates
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Section 4.1: Tensor Analysis
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Section 4.2: Pseudotensors, Dual Tensors
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Section 4.3: Tensor in General Coordinates
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Section 4.4: Jacobians
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Section 4.5: Differential Forms
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Section 4.6: Differentiating Forms
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Section 4.7: Integrating Forms
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Section 5.1: Vector in Function Spaces
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Section 5.2: Gram - Schmidt Orthogonalization
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Section 5.3: Operators
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Section 5.4: Self-Adjoint Operators
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Section 5.5: Unitary Operators
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Section 5.6: Transformations of Operators
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Section 5.7: Invariants
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Section 6.2: Matrix Eigenvalue Problems
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Section 6.4: Hermitian Matrix Diagonalization
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Section 6.5: Normal Matrices
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Section 7.2: First - Order Equations
Section 7.3: ODEs with Constant Coefficients
Section 7.4: Second-Order Linear ODEs
Section 7.5: Series Solutions - Frobenius' Method
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Section 7.6: Other Solutions
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Section 7.7: Inhomogeneous Linear ODEs
Section 7.8: Nonlinear Differential Equations
Section 11.2: Cauchy - Riemann Conditions
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Section 11.3: Cauchy's Integral Theorem
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Section 11.4: Cauchy's Integral Formula
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Section 11.5: Laurent Expansion
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Section 11.6: Singularities
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Section 12.1: Orthogonal Polynomials
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Section 12.2: Bernoulli Numbers
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Section 12.3: Euler - Maclaurin Integration Formula
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Section 12.4: Dirichlet Series
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Section 12.5: Infinite Products
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Section 12.6: Asymptotic Series
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Section 12.7: Method of Steepest Descents
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Section 12.8: Dispersion Relations
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Section 13.1: Definitions, and Properties
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Section 13.2: Digamma and Polygamma Functions
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Section 13.3: The Beta Function
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Section 13.4: Stirling's Series
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Section 13.5: Riemann Zeta Function
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Section 13.6: Other Related Function
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Section 14.1: Bessel Functions of the First kind
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Section 14.2: Orthogonality
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Section 14.3: Neumann Functions, Bessel Functions of the Second kind
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Section 14.4: Hankel Functions
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Section 14.5: Modified Bessel Functions
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Section 14.6: Asymptotic Expansions
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Section 14.7: Spherical Bessel Functions
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Section 15.1: Legendre Polynomials
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Section 15.2: Orthogonality
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Section 15.3: Physical Interpretation of Generating Function
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Section 15.4: Associated Legendre Equation
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Section 15.5: Spherical Harmonics
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Section 15.6: Legendre Functions of the Second Kind
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Section 16.1: Angular Momentum Operators
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Section 16.2: Angular Momentum Coupling
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Section 16.3: Spherical Tensors
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Section 16.4: Vector Spherical Harmonics
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Section 17.1: Introduction to Group Theory
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Section 17.2: Representation of Groups
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Section 17.3: Symmetry and Physics
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Section 17.4: Discrete Groups
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Section 17.5: Direct Products
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Section 17.6: Symmetric Group
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Section 17.7: Continuous Groups
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Section 17.8: Lorentz Group
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Section 17.9: Lorentz Covariance of Maxwell's Equations
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Section 18.1: Hermite Functions
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Section 18.2: Applications of Hermite Functions
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Section 18.3: Laguerre Functions
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Section 18.4: Chebyshev Polynomials
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Section 18.5: Hypergeometric Functions
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Section 18.6: Confluent Hypergeometric Functions
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Section 18.7: Dilogarithm
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Section 18.8: Elliptic Integrals
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Section 19.1: General Properties
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Section 19.2: Application of Fourier Series
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Section 19.3: Gibbs Phenomenon
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Section 20.2: Fourier Transforms
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Section 20.3: Properties of Fourier Transforms
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Section 20.4: Fourier Convolution Theorem
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Section 20.5: Signal - Processing Applications
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Section 20.6: Discrete Fourier Transforms
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Section 20.7: Laplace Transforms
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Section 20.8: Properties of Laplace Transforms
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Section 20.9: Laplace Convolution Transforms
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Section 20.10: Inverse Laplace Transforms
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Section 21.1
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Section 21.2: Some Special Methods
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Section 21.3: Neumann Series
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Section 21.4: Hilbert - Schmidt Theory
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Section 22.1: Euler Equation
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Section 22.2: More General Variations
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Section 22.3: Constrained Minima/Maxima
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Section 22.4: Variation with Constraints
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Section 23.1: Probability: Definitions, Simple Properties
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Section 23.2: Random Variables
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Section 23.3: Binomial Distribution
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Section 23.4: Poisson Distribution
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Section 23.5: Gauss' Normal Distribution
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Section 23.6: Transformation of Random Variables
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Section 23.7: Statistics
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