The Princeton Companion to Applied Mathematics

by Nicholas J. Higham (Editor), Mark R. Dennis (Editor), Paul Glendinning (Editor)

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

Genres: Mathematics, Reference, Science, Textbooks, Nonfiction, Physics, Applied Mathematics

1032 pages, Hardcover

First published January 1, 2015

About the author

Librarian note: There are other authors with the same name.

Nicholas John Higham FRS is a numerical analyst and Richardson Professor of Applied Mathematics at the School of Mathematics, University of Manchester.

He is a graduate of the Victoria University of Manchester gaining his BA in 1982, MSc in and 1983 and PhD 1985. His PhD thesis was entitled Nearness Problems in Numerical Linear Algebra and his supervisor was George Hall. Higham is Director of Research within the School of Mathematics, Director of the Manchester Institute for Mathematical Sciences (MIMS), and Head of the Numerical Analysis Group. He held a prestigious Royal Society Wolfson Research Merit Award (2003–2008) and as of 2006[update] is on the Institute for Scientific Information Highly Cited Researcher list.

Reviews

[Kyle · Rating 5 out of 5]

I can hardly give enough compliments to this (and its predecessor the Princeton Companion to Mathematics). The scope is broad, the articles are all incredibly well-written and cover a wide range of interesting topics. This volume focuses on applied mathematics, which means it is of more direct use to scientists than the previous volume (though I still highly recommend the previous volume) and not just in physics. There are plenty of biology, chemistry, and engineering examples throughout the book. The book is well-structured though it still has a bit of an encyclopedia-like broadness. If you have a specific application in mind and it's covered, this is a wonderful way to be introduced or to remind you of the ways of approaching the application.

The book is quite readable. Few will plow all the way through, but I was delighted to take a chapter almost every day. Even if the topic wasn't something I'd usually look at, I knew that it would be presented well and maybe give me some new way of looking at the world.

[Ankit Sharma · Rating 4 out of 5]

It was an excellent book! I wished I knew about this book earlier. I was mainly interested in the application part of the book and it WAS an awesome introduction.