Synopses & Reviews
Rather than follow the traditional approach of stating mathematical principles and then citing some physical examples for illustration, Professor Mei puts applications at center stage. Beginning with the problem, he finds the mathematics that suits it and closes with a mathematical analysis of the physics. He selects physical examples primarily from applied mechanics. Among topics included are Fourier series, separation of variables, Bessel functions, Fourier and Laplace transforms, Green's functions and complex function theories. Also covered are advanced topics such as Riemann-Hilbert techniques, perturbation methods, and practical topics such as symbolic computation. Engineering students, who often feel more awe than confidence and enthusiasm toward applied mathematics, will find this approach to mathematics goes a long way toward a sharper understanding of the physical world.
Review
"In the crowded field of books on engineering applications, this one distinguishes itself by a fair number of nonstandard applications in fluid and solid mechanics." R. Solecki, Choice"The main feature of this text which distinguishes it from the many texts on engineering mathematics is the wealth of worked examples...Some of the illustrated examples are quite challenging and others are drawn from application areas not commonly featured in texts books at this level. The text is clearly laid out and very readable. It is highly recommended." Journal of Fluid Mechanics"...the illustrative examples are quite challenging and others are drawn from application areas not commonly featured in text books at this level. The text is clearly laid out and very readable. It is highly recommended." Journal of Fluid Mechanics"...explains how to use mathematics to formulate, solve, and analyze physical problems...The emphasis throughout is on engineering applications rather than mathematical formalities." Mechanical Engineering"
Synopsis
Paperback edition of successful and well reviewed graduate text on applied mathematics for engineers.
Table of Contents
Formulation of physical problems; Classification of equations; One-dimensional waves; Finite domains and separation of variables; Elements of Fourier series; Introduction to Green's functions; Unbounded domains and Fourier transforms; Bessel functions and circular domains; Complex variables; Laplace transform and initial value problems; Conformal mapping and hydrodynamics; Riemann-Hilbert problems in hydrodynamics and elasticity; Perturbation methods - the art of approximation; Computer algebra for perturbation analysis.