A guided tour of mathematical methods for the physical sciences /
[Book]
Roel Snieder, Colorado School of Mines, Kasper van Wijk, University of Auckland.
Third edition.
New York, NY :
Cambridge University Press,
2015.
xxi, 560 pages ;
26 cm
Includes bibliographical references and index.
Introduction -- Dimensional analysis -- Power series -- Spherical and cylindrical coordinates -- Gradient -- Divergence of a vector field -- Curl of a vector field -- Theorem of Gauss -- Theorem of Stokes -- The Laplacian -- Scale analysis -- Linear algebra -- Dirac delta function -- Fourier analysis -- Analytic functions -- Complex integration -- Green's functions: principles -- Green's functions: examples -- Normal modes -- Potential field theory -- Probability and statistics -- Inverse problems -- Perturbation theory -- Asymptotic evaluation of integrals -- Conservation laws -- Cartesian tensors -- Variational calculus -- Epilogue, on power and knowledge.