# Computer Algebra Recipes

## An Introductory Guide to the Mathematical Models of Science

• Richard H. Enns
• George C. McGuire

1. Front Matter
Pages i-x
2. ### Introduction

1. Pages 1-10
3. ### The Appetizers

1. Front Matter
Pages 11-11
2. Pages 13-64
3. Pages 65-117
4. ### The Entrees

1. Front Matter
Pages 119-119
2. Pages 121-172
3. Pages 173-212
4. Pages 213-270
5. Pages 271-316
5. ### The Desserts

1. Front Matter
Pages 317-317
2. Pages 319-380
3. Pages 381-416
6. Back Matter
Pages 417-430

### Introduction

Computer algebra systems are revolutionizing the teaching, the learning, and the exploration of science. Not only can students and researchers work through mathematical models more efficiently and with fewer errors than with pencil and paper, they can also easily explore, both analytically and numerically, more complex and computationally intensive models.
Aimed at science and engineering undergraduates at the sophomore/junior level, this introductory guide to the mathematical models of science is filled with examples from a wide variety of disciplines, including biology, economics, medicine, engineering, game theory, mathematics, physics, and chemistry. The topics are organized into the Appetizers dealing with graphical aspects, the Entrees concentrating on symbolic computation, and the Desserts illustrating numerical simulation.
The heart of the text is a large number of computer algebra recipes based on the Maple 10 software system. These have been designed not only to provide tools for problem solving, but also to stimulate the reader’s imagination. Associated with each recipe is a scientific model or method and an interesting or amusing story (accompanied with a thought-provoking quote) that leads the reader through the various steps of the recipe.
This text is the first of two volumes.  The advanced guide, aimed at junior/senior/graduate level students, deals with more advanced differential equation models.

### Keywords

Maple Monte Carlo method computer computer algebra computer algebra system game theory learning model simulation

#### Authors and affiliations

• Richard H. Enns
• 1
• George C. McGuire
• 2
1. 1.Department of PhysicsSimon Fraser UniversityBurnabyCanada
2. 2.Department of PhysicsUniversity College of Fraser ValleyAbbotsfordCanada