β Scribed by Arthur David Snider
No coin nor oath required. For personal study only.
Offering a welcome balance between rigor and ease of comprehension, this book presents full coverage of the analytic (and accurate) method for solving PDEs -- in a manner that is both decipherable to engineers and physically insightful for mathematicians. By exploring the eigenfunction expansion method based on physical principles instead of abstract analyses, it makes the analytic approach understandable, visualizable, and straightforward to implement. Contains tabulations and derivations of all known eigenfunction expansions. Offers demystifying coverage of the separation of variables technique and presents a novel approach to FFT and its utilization. Presents a fast, automatic algorithmic procedure for solving wave, heat, and Laplace equation in rectangular, cylindrical, and spherical coordinates. Discusses Sturm-Liouville Theory; Green's functions and transform methods; and perturbation methods, small wave analysis, and dispersion laws. Motivates every technique presented --without exception -- by a heuristic discussion demonstrating the plausibility or inevitability of the procedure, and includes an abundance of figures and worked-out examples. For engineers, applied mathematicians, computer specialists, and analysts.
π SIMILAR VOLUMES
This book starts off with the basics and builds you up. 5 out of 5!
The author strikes a balance between rigor and ease of comprehension, while bravely confronting some mathematically untidy applications such as heat flow in a cylindrical wedge where the flat sides (rather than the cylindrical side) are heated externally. Topics include Fourier methods, differential
Book by Duffy, Dean G