Introduction to the Foundations of Applied Mathematics: 56 (Texts in Applied Mathematics) - Tapa dura

From the reviews:

“This work by Holmes (RPI) is a thorough overview of classical analysis/differential equations-based applied mathematics (not statistics or discrete mathematics). ... This is a wonderful, well-written book that should be in every academic library. Includes many examples, 126 references, and 221 exercises. Summing Up: Highly recommended. Upper-division undergraduates, graduate students, researchers, and faculty.” (J. D. Fehribach, Choice, Vol. 47 (8), April, 2010)

“The goal of this book is to introduce the mathematical tools needed for analyzing and deriving mathematical models. ... Holmes is able to integrate the theory with application in a very nice way providing an excellent book on applied mathematics. ... One of the best features of the book is the abundant number of exercises found at the end of each chapter. ... I think this is a great book, and I recommend it for scholarly purposes by students, teachers, and researchers.” (Joe Latulippe, The Mathematical Association of America, December, 2009)

“One of the primary objectives of the book is to use mathematics to derive a fundamental understanding of the derivation, analysis and interpretation of mathematical models. ... The book contains a wide spectrum of exercises and detailed illustrations. It addresses students and researchers interested in mathematical modeling in physics, engineering and applied sciences. It can also be recommended as a textbook at the graduate student level.”­­­ (Iuliana Oprea, Mathematical Reviews, Issue 2011 c)

“Holmes’s text ... should be accessible to both mathematicians and science and engineering audiences at the senior or beginning graduate level. ... it establishes the tools of applied mathematics and the underlying concepts of model development independent of a specific application. ... I strongly recommend this book for an introductory senior or graduate level course in applied mathematics.” (J. David Logan, SIAM Review, Vol. 52 (1), 2010)