Mathematical methods for physicists. (2005)

• Record Type: Book
• Other Names: Arfken, George B (George Brown), 1922-; Weber, Hans-Jurgen
• Contents: Cover -- Contents -- Preface -- Vector Analysis -- Definitions, Elementary Approach -- Rotation of the Coordinate Axes3 -- Scalar or Dot Product -- Vector or Cross Product -- Triple Scalar Product, Triple Vector Product -- Gradient, -- Divergence, -- Curl, x -- Successive Applications of -- Vector Integration -- Gauss' Theorem -- Stokes' Theorem -- Potential Theory -- Gauss' Law, Poisson's Equation -- Dirac Delta Function -- Helmholtz's Theorem -- Additional Readings -- Vector Analysis in Curved Coordinates and Tensors -- Orthogonal Coordinates in R3 -- Differential Vector Operators -- Special Coordinate Systems: Introduction -- Circular Cylinder Coordinates -- Spherical Polar Coordinates -- Tensor Analysis -- Contraction, Direct Product -- Quotient Rule -- Pseudotensors, Dual Tensors -- General Tensors -- Tensor Derivative Operators -- Additional Readings -- Determinants and Matrices -- Determinants -- Matrices -- Orthogonal Matrices -- Hermitian Matrices, Unitary Matrices -- Diagonalization of Matrices -- Normal Matrices -- Additional Readings -- Group Theory -- Introduction to Group Theory -- Generators of Continuous Groups -- Orbital Angular Momentum -- Angular Momentum Coupling -- Homogeneous Lorentz Group -- Lorentz Covariance of Maxwell's Equations -- Discrete Groups -- Differential Forms -- Additional Readings -- Infinite Series -- Fundamental Concepts -- Convergence Tests -- Alternating Series -- Algebra of Series -- Series of Functions -- Taylor's Eexpansion -- Power Series -- Elliptic Integrals -- Bernoulli Numbers, Euler-Maclaurin Formula -- Asymptotic Series -- Infinite Products -- Additional Readings -- Functions of a Complex Variable I: Analytic Properties, Mapping -- Complex Algebra -- Cauchy-Riemann Conditions -- Cauchy's Integral Theorem -- Cauchy's Integral Formula -- Laurent Expansion -- Singularities -- Mapping -- Conformal Mapping -- Additional Readings -- Functions of a Complex Variable II -- Calculus of Residues -- Dispersion Relations -- Method of Steepest Descents -- Additional Readings -- The Gamma Function (Factorial Function) -- Definitions, Simple Properties -- Digamma and Polygamma Functions -- Stirling's Series -- The Beta Function -- The Incomplete Gamma Functions and Related Functions -- Additional Readings -- Differential Equations -- Partial Differential Equations -- First-Order Differential Equations -- Separation of Variables -- Singular Points -- Series Solutions-Frobenius' Method -- A Second Solution -- Nonhomogeneous Equation-Green's Function -- Heat Flow, or Diffusion, PDE -- Additional Readings -- Sturm-Liouville Theory-Orthogonal Functions -- Self-aAjoint ODEs -- Hermitian Operators -- Gram-Sschmidt Orthogonalization -- Completeness of Eigenfunctions -- Green's Function-Eigenfunction Expansion -- Additional Readings -- Bessel Functions -- Bessel Functions of the First Kind, Jnu(x) -- Orthogonality -- Neumann Functions, Bessel Functions of th.
• Edition: 6th ed
• Publisher Details: Boston : Elsevier
• Publication Date: 2005
• Extent: 1 online resource (xii, 1182 pages), illustrations
• Subjects: 510; Mathematics; Mathematical physics; Mathématiques; Physique mathématique; MATHEMATICS -- Pre-Calculus; MATHEMATICS -- Reference; MATHEMATICS -- Essays; Mathematical physics; Mathematics; Física (métodos matemáticos); Electronic books
• Languages: English
• ISBNs: 9780080470696; 0080470696
• Related ISBNs: 0120598760; 9780120598762; 0120885840; 9780120885848
• Notes: Note: Includes bibliographical references and index.; Note: Print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.