Introduction to Applied Mathematics for Environmental Science

Front Cover
Springer Science & Business Media, Dec 6, 2007 - Science - 317 pages
0 Reviews
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 de signed 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.
 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

Preface
1
Derivatives and Differentiation
19
Integration
52
Ordinary Differential Equations
82
Further Topics in ODEs
123
ODE Systems
137
SecondOrder ODEs
166
Linear Algebra
193
NonLinear Equations
229
Partial Differential Equations
250
A PreCalculus Math Review
285
B Solutions to OddNumbered Exercises
292
List of Applications
307
Index
313
Copyright

Other editions - View all

Common terms and phrases

Bibliographic information