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Mathematical methods for physicists.

Author: George B Arfken; Hans-Jurgen Weber
Publisher: Boston : Elsevier, 2005.
Edition/Format:   eBook : Document : English : 6th ed.View all editions and formats
Summary:
"Mathematical Methods for Physicists serves as both textbook and/or useful reference work. This renowned and well respected title provides in one handy volume the essential mathematical tools and techniques used to solve problems in physics and engineering. The mathematical relations are clearly illustrated and proven. It is a vital addition to the bookshelf of any serious student of physics and or research  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Arfken, George B. (George Brown), 1922-
Mathematical methods for physicists.
Boston : Elsevier, 2005
(DLC) 2005049844
(OCoLC)60492052
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: George B Arfken; Hans-Jurgen Weber
ISBN: 9780080470696 0080470696
OCLC Number: 127114279
Description: 1 online resource (xii, 1182 pages) : illustrations
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.
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Abstract:

Provides the essential mathematical tools and techniques used to solve problems in physics. This work includes differential forms and the elegant forms of Maxwell's equations, and a chapter on  Read more...

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"As to a comparison with other books of the same ilk, well, in all honesty, there are none. No other text on methods of mathematical physics is as comprehensive and as complete...I encourage the Read more...

 
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