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Graduate Mathematical Physics: With Mathematica Supplements

James J. Kelly
Organization: University of Maryland
Department: Department of Physics
Book information

Publisher: Wiley-VCH (Weinheim)
Copyright year: 2006
ISBN: 9783527406371
Medium: Paperback
Includes: CD-ROM
Pages: 466
Out of print?: N
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Analytic Functions | Integration | Asymptotic Series | Generalized Functions | Integral Transforms | Analytic Continuation and Dispersion Relations | Sturm-Liouville Theory | Legendre and Bessel Functions | Boundary-Value Problems | Group Theory

This textbook on mathematical methods of physics is designed for a one-semester graduate or two-semester advanced undergraduate course. Formal methods are supplemented by applications that use Mathematica for both symbolic and numeric calculations.

A number of exercises are included at the end of each chapter, and an accompanying student CD has a basic introduction to Mathematica, notebook files for each chapter, and solutions to selected exercises. Instructors may contact the publisher for a CD with detailed solutions to all the problems.

*Applied Mathematics > Optimization
*Education > College
*Education > Graduate
*Mathematics > Algebra > Group Theory
*Mathematics > Calculus and Analysis > Complex Analysis
*Mathematics > Calculus and Analysis > Series
*Mathematics > Calculus and Analysis > Special Functions
*Science > Physics

analytic functions, anayltic continuation, integral transforms, asymptotic series, generalized functions, eigenfunction expansions, Green functions, boundary-value problems, group theory, dispersion theory, Sturm-Liouville theory, Legendre functions, Legendre polynomials, Legendre expansion, Bessel functions, Cauchy, Cauchy-Goursat, Cauchy-Riemann, integration, finite groups, continuous groups, singularity, Delta functions, Fourier transform, Laplace transform, Hilbert spaces, lie groups, lie algebr, rotation groups