Author:J. David Logan Availability:
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Editorial Review:
Explore the latest concepts and applications in mathematical methods and modeling The Third Edition of this critically acclaimed text is thoroughly updated and revised with new concepts and applications to assist readers in modeling and analyzing natural, social, and technological processes. Readers are introduced to key ideas in math-ematical methods and modeling, with an emphasis on the connections between mathematics and the applied and natural sciences. The book covers the gamut of both standard and modern topics, including scaling and dimensional analysis; regular and singular perturbation; calculus of variations; Green's functions and integral equations; nonlinear wave propagation; and stability and bifurcation. Readers will discover many special features in this new and revised edition, such as: * A new chapter on discrete-time models, including a section devoted to stochastic models * A thorough revision of the text's 300 exercises, incorporating contemporary problemsand methods * Additional material and applications of linear transformations in Rn (matrices, eigenvalues, etc.) to compare to the integral equation results * New material on mathematical biology, including age-structured models, diffusion and advection, and biological modeling, including MATLAB programs Moreover, the text has been restructured to facilitate its use as a textbook. The first section covers models leading to ordinary differential equations and integral equations, and the second section focuses on partial differential equations and their applications. Exercises vary from routine calculations that reinforce basic techniques to challenging problems that stimulate advanced problem solving. With its new exercises and structure, this book is highly recommended for upper-undergraduateand beginning graduate students in mathematics, engineering, and natural sciences. Scientists and engineers will find the book to be an excellent choice for reference and self-study.
Customer Reviews:
Avg. Customer Rating: 4.0 / 5.0
Interesting Book, not a good course text:
This book was used as the text for an applied mathematics course. It was not very detailed in any of the explanations and the exercises sent me scrambling for other texts as references. It seems like the author wanted you to get lost in the minutiae of elementary calculus and algebra rather than understand the general concepts. Most of the sections felt like the exercises were just that, exercises and not really applicable to what I thought would be "Applied" Mathematics.
Applied Mathematics:
I am a big math buff. I like the information contained in this book and hope to use more of it in the future.
Deep and philosophical; happily application-oriented. Possibly misnamed.:
This book stands out among applied mathematics books. I like it very much, although it is certainly not easy to read. The equations and mathematics in the book are not particularly intimidating; the book is challenging because it gets you to think about difficult concepts at a sort of "meta" level. One of the best things about this book is that it is really an "applied mathematics" book in the sense that it prepares the reader to use the mathematics in applications. The book assumes a lot of... more info