A Guided Tour of Mathematical Methods for the Physical Sciences

Roel Snieder

507 pages, parution le 06/10/2004 (2^eme édition)

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Résumé

Mathematical methods are essential tools for all physical scientists. This second edition provides a comprehensive tour of the mathematical knowledge and techniques that are needed by students in this area. In contrast to more traditional textbooks, all the material is presented in the form of problems. Within these problems the basic mathematical theory and its physical applications are well integrated. The mathematical insights that the student acquires are therefore driven by their physical insight. Topics that are covered include vector calculus, linear algebra, Fourier analysis, scale analysis, complex integration, Green's functions, normal modes, tensor calculus, and perturbation theory. The second edition contains new chapters on dimensional analysis, variational calculus, and the asymptotic evaluation of integrals. This book can be used by undergraduates, and lower-level graduate students in the physical sciences. It can serve as a stand-alone text, or as a source of problems and examples to complement other textbooks.

Sommaire

Introduction
Dimensional analysis
Power series
Spherical and cylindrical coordinates
The gradient
The divergence of a vector field
The curl of a vector field
The theorem of Gauss
The theorem of Stokes
The Laplacian
Conservation laws
Scale analysis
Linear algebra
The Dirac delta function
Fourier analysis
Analytic functions
Complex integration
Green's functions: principles
Green's functions: examples
Normal modes
Potential theory
Cartesian tensors
Perturbation theory
Asymptotic evaluation of integrals
Variational calculus
Epilogue, on power and knowledge

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Roel Snieder
Parution	06/10/2004
Édition	2^eme édition
Nb. de pages	507
Format	17,5 x 25,5
Couverture	Relié
Poids	1214g
Intérieur	Noir et Blanc
EAN13	9780521834926
ISBN13	978-0-521-83492-6