Essential Mathematical Methods for PhysicistsThis new adaptation of Arfken and Weber's bestselling Mathematical Methods for Physicists, Fifth Edition, is the most comprehensive, modern, and accessible reference for using mathematics to solve physics problems. REVIEWERS SAY: "Examples are excellent. They cover a wide range of physics problems." Bing Zhou, University of Michigan "The ideas are communicated very well and it is easy to understand...It has a more modern treatment than most, has a very complete range of topics and each is treated in sufficient detail....I'm not aware of another better book at this level..." Gary Wysin, Kansas State University

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Contents
1 Vector Analysis  1 
2 Vector Analysis in Curved Coordinates and Tensors  96 
3 Determinants and Matrices  159 
4 Group Theory  229 
5 Infinite Series  257 
Analytic Properties Mapping  318 
Calculus of Residues  372 
8 Differential Equations  410 
13 Hermitie and Laguerre Polynomials  638 
14 Fourier Series  663 
15 Integral Transforms  689 
16 Partial Differential Equations  756 
17 Probability  782 
18 Calculus of Variations  826 
19 Nonlinear Methods and Chaos  867 
Appendix 1 Real Zeros of a Function  905 
Other editions  View all
Essential Mathematical Methods for Physicists, ISE Hans J. Weber,George B. Arfken Limited preview  2003 
Essential Mathematical Methods for Physicists Hans J. Weber,George B. Arfken No preview available  2004 
Common terms and phrases
analytic angle angular momentum apply asymptotic Bessel functions boundary conditions calculate Cartesian Chapter coefficients complex components constant contour convergence coordinate system corresponding cosine deﬁned derivatives determinant differential equation divergence eigenfunctions eigenvalues Euler Evaluate example Exercise expansion exponential Figure ﬁnd finite ﬁrst ﬁxed formula Fourier series Fourier transform gamma function given harmonic Hermitian Hint independent integral integrand interval inverse Laguerre Laplace transform Legendre polynomials linear mathematical matrix method multiplying normal Note obtain operator orthogonal oscillator parameter particle physics plane potential power series problem quantum mechanics radial random variable recurrence relation representation rotation saddle point scalar product Section Show singular solution solved space spherical polar coordinates Substituting surface symmetry tensor theorem theory tion uniform convergence unit vectors vanishes velocity wave function Wronskian yields zero
Popular passages
Page 866  ... order where the appearance of disorder reigned. Then it enables us to see at a glance each of these elements in the place it occupies in the whole. Not only is the new fact valuable on its own account, but it alone gives a value to the old facts it unites. Our mind is as frail as our senses are; it would lose itself in the complexity of the world if that complexity were not harmonious...
References to this book
Rechenmethoden der Physik: Mathematischer Begleiter zur Experimentalphysik MayBritt Kallenrode No preview available  2005 