In this textbook the author applies differential equations to physical problems, and highlights solution techniques with practical examples. Emphasis is placed on: operator methods; the convolution integral; periodic signals; the energy and power spectra; Frobenius method; Laplace, Fourier, Hankel and Z-transforms; Green's Function method; the similarity technique; the method of characteristics; the separation of variable method; and Bessel functions and Legendre polynomials. Four tables of integral transforms are also included, while exercises and answers are given on an accompanying CD-ROM.
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..".an excellent, well-linked exposition to the basic concepts and underlying principles of mathematical methods pertaining to differential equations and their application to a myriad of physical problems... This well-thought-out masterpiece has come from an author with considerable experience in teaching mathematical methods in many universities all over the world. His text will certainly appeal to a broader audience, including upper-level undergraduates and graduate students in engineering, mathematics, computer science, and the physical sciences. A fantastic addition to all college libraries." Choice
Drawing from a two-semester course on engineering mathematics he has taught since 1980, Rahman (Dalhousie U., Canada) describes the mathematical methods required to analyze physical problems and the techniques for solving them. He discusses fundamental concepts and principles, various methods for solving differential equations, and a wide range of
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