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Book Description: In this unique and accessible textbook the author applies differential equations to physical problems, and highlights solution techniques with practical examples. In the computer age, the use of classical methods for the solution of problems sometimes appears irrelevant. However, the application of computer solutions without real understanding of the underlying principles can easily lead to serious errors. A solid grasp of the mathematics involved is therefore essential. In Mathematical Methods With Applications 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 Bessel functions, and Legendre polynomials. Four tables of integral transforms are also included, while exercises and answers are given on an accompanying CD ROM. The book is ideal for use by senior undergraduates, graduates, scientists and practising engineers working in such areas as mechanical, electrical, civil, and chemical engineering.

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