A guided tour of mathematical methods for the physical sciences (Q2744123)

The book has 23 chapters with the following titles: 1) Introduction, 2) Power series, 3) Spherical and cylindrical coordinates, 4) The gradient, 5) The divergence of a vector field, 6) The curl of a vector field, 7) The theorem of Gauss, 8) The theorem of Stokes, 9) The Laplacian, 10) Conservation laws, 11) Scale analysis, 12) Linear algebra, 13) The Dirac delta function, 14) Fourier analysis, 15) Analytic functions, 16) Complex integration, 17) Green's function: Principles, 18) Green's functions: examples, 19) Normal modes, 20) Potential theory, 21) Cartesian tensors, 22) Perturbation theory, 23) Epilogue, on power and knowledge.NEWLINENEWLINENEWLINEThe author starts each chapter by explaining the physical meaning of the title and to illustrate it, he solves a physical problem. Thus he guides us into the physical world from the mathematical one. One of the best example is that the author tries to explain the meaning of Green's function by taking the practical example of a girl on a swing which is pushed by her mother. In similar way, in almost every chapter, he discusses an actual physical problem to explain the meaning of the title of the chapter. Then he solves many more problems on that topic, which helps a student of physical sciences to understand the meaning of mathematical terms.NEWLINENEWLINENEWLINEThis type of analysis will be found useful by students of physical sciences to advance their knowledge and then proceed to do some problems for research in his/her own field.NEWLINENEWLINENEWLINEThe author is to be congratulated for writing such a valuable book which will be found useful in doing more research in the specific field of a student or teacher, leading to a respective degree like Ph.D. or D.Sc.NEWLINENEWLINENEWLINEThe reviewer strongly recommends this book to a research scholar doing research in any branch of physical sciences.