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.

• *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

"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 several disciplines within an academic framework."--Lesley S.J. Farmer, Reference Reviews