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Mathematical methods for physicists

Author: George B Arfken
Publisher: Academic Press, Orlando : Academic Press, ©1985.
Edition/Format:   Print book : English : 3rd edView all editions and formats
Database:WorldCat
Summary:

This work is intended to provide the student with the mathematics needed for advanced and beginning study in physical science. It features class-tested exercises and has sections on non-Cartesian  Read more...

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Details

Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: George B Arfken
ISBN: 0120598205 9780120598205 9780120598106 0120598108
OCLC Number: 11713453
Description: xxii, 985 pages : illustrations ; 25 cm
Contents: Vector Analysis --
Rotation of the Coordinate Axes --
Scalar or Dot Product --
Vector or Cross Product --
Triple Scalar Product, Triple Vector Product --
Gradient, [down triangle, open] --
Divergence, [down triangle, open] --
Curl, [down triangle, open] x --
Successive Applications of [down triangle, open] --
Vector Integration --
Gauss's Theorem --
Stokes's Theorem --
Potential Theory --
Gauss's Law, Poisson's Equation --
Dirac Delta Function --
Helmholtz's Theorem --
Curved Coordinates, Tensors --
Orthogonal Coordinates --
Differential Vector Operators --
Special Coordinate Systems: Introduction --
Circular Cylindrical Coordinates --
Spherical Polar Coordinates --
Tensor Analysis --
Contraction, Direct Product --
Quotient Rule --
Pseudotensors, Dual Tensors --
Non-Cartesian Tensors --
Tensor Derivative Operators --
Determinants and Matrices --
Determinants --
Matrices --
Orthogonal Matrices --
Hermitian Matrices, Unitary Matrices --
Diagonalization of Matrices --
Normal Matrices --
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 --
Infinite Series --
Convergence Tests --
Alternating Series --
Algebra of Series --
Series of Functions --
Taylor's Expansion --
Power Series --
Elliptic Integrals --
Bernoulli Numbers, Euler-Maclaurin Formula --
Asymptotic Series --
Infinite Products --
Functions of a Complex Variable I --
Complex Algebra.
Responsibility: George Arfken.

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