Introduction to Applied Mathematics for Environmental Science / Edition 1

by David F. Parkhurst

Overview

For many years, first as a student and later as a teacher, I have ob­ served graduate students in ecology and other environmental sci­ ences who had been required as undergraduates to take calculus courses. Those courses have often emphasized how to prove theo­ rems about the beautiful, logical structure of calculus, but have ne­ glected applications. Most of the time, the students have come out of such courses with little or no appreciation of how to apply calculus in their own work. Based on these observations, I developed a course designed in part to re-teach calculus as an everyday tool in ecology and other environmental sciences. I emphasized derivations—working with story problems (sometimes quite complex ones)—in that course, and now in this book. The present textbook has developed out of my notes for that course. Its basic purpose is to describe various types of mathemati­ cal structures and how they can be apphed in environmental science. Thus, linear and non-linear algebraic equations, derivatives and in­ tegrals, and ordinary and partial differential equations are the basic kinds of structures, or types of mathematical models, discussed. For each, the discussion follows a pattern something like this: 1. An example of the type of structure, as apphed to environmental science, is given. 2. Next, a description of the structure is presented. 3. Usually, this is followed by other examples of how the structure arises in environmental science. 4. The analytic methods of solving and learning from the structure are discussed.

Product Details

ISBN-13:	9780387342276
Publisher:	Springer US
Publication date:	06/28/2006
Edition description:	2006
Pages:	317
Product dimensions:	6.14(w) x 9.25(h) x 0.03(d)

Table of Contents

Derivatives and Differentiation.- Integration.- Ordinary Differential Equations.- Further Topics in ODEs.- Systems of Ordinary Differential Equations.- Numerical Solution of Ordinary Differential Equations.- Second-Order ODEs.- Linear Algebra.- Non-Linear Equations.- Partial Differential Equations.

Editorial Reviews

From the reviews:

"It … explains how basic tools of mathematical analysis can be efficiently used to study problems arising in environmental sciences. … The text shall attract non-mathematical audience by clarity of exposition which concentrates mostly on ideas and techniques … . Specifically tailored to the needs of undergraduate and graduate students in environmental sciences, this unique and skillfully written book shall help them to understand and master fundamental mathematical concepts and techniques used in the analysis of applied problems." (Yuri V. Rogovchenko, Zentralblatt MATH, Vol. 1145, 2008)

From the Publisher