Princeton Applied Mathematics

May 25, 2015

At Princeton University

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

Nicholas J. Higham is the Richardson Professor of Applied Mathematics at The University of Manchester. Mark R. Dennis is professor of theoretical physics at the University of Bristol. Paul Glendinning is professor of applied mathematics at The University of Manchester. Paul A. Martin is professor of applied mathematics at the Colorado School of Mines. Fadil Santosa is professor of mathematics at the University of Minnesota. Jared Tanner is professor of the mathematics of information at the University of Oxford.


"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


"Monumental and comprehensive, The Princeton Companion to Applied Mathematics does a breathtaking job of conveying the richness, depth, and vitality of today’s applied mathematics. Better still, it does so in a remarkably clear and friendly voice. An instant classic."-Steven Strogatz, Cornell University and author of The Joy of x

"The perfect companion to the earlier Companion. This book will be a landmark for decades ahead."-Nick Trefethen, University of Oxford

"The Princeton Companion to Applied Mathematics is a tour de force, an incredible collection that should be on the shelf of every mathematician, of every scientist, and indeed of anyone fascinated with mathematics. It has something for everyone from beginner to advanced researcher, and is written in a style that will encourage reading outside one’s area. It is comprehensive, authoritative, and beautifully written and organized, and I know of nothing comparable."-Simon A. Levin, Princeton University and editor of The Princeton Guide to Ecology


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