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| LEADER |
04288nam a2200349 a 4500 |
| 001 |
1984839 |
| 005 |
20171111235921.0 |
| 008 |
070515s2005 maua ob 001 0 eng d |
| 020 |
|
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|a 9780080470696
|q (electronic bk.)
|
| 020 |
|
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|a 0080470696
|q (electronic bk.)
|z 0120598760
|z 9780120598762
|q (international students ed. ;
|q pbk.)
|z 0120885840
|q (international students ed. ;
|q pbk.)
|
| 040 |
|
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|a N$T
|b eng
|e pn
|z 9780120885848
|
| 050 |
|
4 |
|a QA37.3
|b .A74 2005eb
|
| 100 |
1 |
4 |
|a Arfken, George B.
|d 1922-
|q (George Brown),
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| 245 |
1 |
0 |
|a Mathematical methods for physicists.
|
| 250 |
1 |
0 |
|a 6th ed. /
|
| 260 |
1 |
0 |
|a Boston :
|b Elsevier,
|c 2005.
|
| 300 |
1 |
0 |
|a 1 online resource (xii, 1182 pages) :
|b illustrations
|
| 504 |
1 |
0 |
|a Includes bibliographical references and index.
|
| 505 |
0 |
0 |
|a 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.
|
| 650 |
0 |
0 |
|a Mathematics.
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| 650 |
0 |
0 |
|a Mathematical physics.
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| 650 |
0 |
6 |
|a Mathématiques.
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| 650 |
0 |
6 |
|a Physique mathématique.
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| 650 |
0 |
7 |
|a MATHEMATICS
|x Pre-Calculus.
|
| 650 |
0 |
7 |
|a MATHEMATICS
|x Reference.
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| 650 |
0 |
7 |
|a MATHEMATICS
|x Essays.
|
| 650 |
0 |
7 |
|a Mathematical physics.
|
| 650 |
0 |
7 |
|a Mathematics.
|
| 700 |
1 |
7 |
|a Weber, Hans-Jurgen.
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| 952 |
|
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|a GR-IrASP
|b 59cc1bab6c5ad13446f7a986
|c 998a
|d 945l
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| 952 |
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|a CY-NiOUC
|b 5a0462676c5ad14ac1ee76a2
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