The Princeton Companion To Applied Mathematics

Edited by Higham Nicholas J.; Associate editor Dennis Mark R.; Associate editor Glendinning Paul; Associate editor Martin Paul A.; Associate editor Santosa Fadil; Associate editor Tanner Jared
Short description/annotation:
This is the most authoritative and accessible single-volume reference book on applied mathematics. Featuring numerous entries by leading experts and organized thematically, it introduces readers to applied mathematics and its uses; explains key concepts; describes important equations, laws, and functions; looks at exciting areas of research; covers
Description:
This is the most authoritative and accessible single-volume reference book on applied mathematics. Featuring numerous entries by leading experts and organized thematically, it introduces readers to applied mathematics and its uses; explains key concepts; describes important equations, laws, and functions; looks at exciting areas of research; covers modeling and simulation; explores areas of application; and more. Modeled on the popular Princeton Companion to Mathematics, this volume is an indispensable resource for undergraduate and graduate students, researchers, and practitioners in other disciplines seeking a user-friendly reference book on applied mathematics. * Features nearly 200 entries organized thematically and written by an international team of distinguished contributors* Presents the major ideas and branches of applied mathematics in a clear and accessible way* Explains important mathematical concepts, methods, equations, and applications* Introduces the language of applied mathematics and the goals of applied mathematical research* Gives a wide range of examples of mathematical modeling* Covers continuum mechanics, dynamical systems, numerical analysis, discrete and combinatorial mathematics, mathematical physics, and much more* Explores the connections between applied mathematics and other disciplines* Includes suggestions for further reading, cross-references, and a comprehensive index
Table of contents:
*Frontmatter, pg. i*Contents, pg. v*Preface, pg. ix*Contributors, pg. xiii*Part I. Introduction to Applied Mathematics, pg. 1*Part II. Concepts, pg. 81*Part III. Equations, Laws, and Functions of Applied Mathematics, pg. 135*Part IV. Areas of Applied Mathematics, pg. 173*Part V. Modeling, pg. 591*Part VI. Example Problems, pg. 733*Part VII. Application Areas, pg. 783*Part VIII. Final Perspectives, pg. 897*Index, pg. 963
Review quote:
"The treasures [in the Princeton Companion to Applied Mathematics] go on and on."--Lloyd N. Trefethen, SIAM Review "[An] impressive volume... It has been a major project that eventually resulted in this amazing product."--Adhemar Bultheel, European Mathematical Society "Safe to say there is something for everyone in The Princeton Companion to Applied Mathematics."--Alan Stevens, Mathematics Today "[A] valuable addition to the mathematics library of any university or research institution."--Library Journal "Higham and his associate editors ... have produced an admirably readable and informative volume, which anyone interested in applied mathematics would be well advised to consult or--better still--to own!"--James Case, SIAM News "A unique work full of beautiful and interesting mathematics. It is surely a valuable resource for exposing young mathematicians to possible areas of applied mathematics for research and further study. Without a doubt PCAM is an important contribution to the mathematical literature."--Jason M. Graham, MathSciNet "[A]n excellent reference that successfully compiles into a readable and engaging form the broad range of topics that an applied mathematician might encounter in their career... As a reader, I find myself flipping through the pages and becoming engaged in new and interesting ideas from the world of applied math."--Joanna Bieri, MAA Reviews "A handy one-volume reference for applied mathematics that cuts across