Synopses & Reviews
A DIFFERENT WAY TO LEARN DIFFERENTIAL EQUATIONSNow anyone with an interest in stepping up to higher math can do sowithout formal training, unlimited time, or a genius IQ. In Differential Equations Demystified, award-winning math professor Steven Krantz provides an effective, anxiety-free method to get past common obstacles on the road to success in higher math and science.
With Differential Equations Demystified, you master the subject one step at a timeat your own speed. This self-teaching guide offers unique "Math Notes" and "You Try It" exercises, problems at the end of each chapter to pinpoint weaknesses, and a 100-question final exam to reinforce the great information in the entire book.
If you want to master differential equations fearlessly, here's a fast and effective self-teaching course to help you do just that. Get ready to --
- Solve both ordinary and partial differential equations
- Work detailed examples and stimulating do-it-yourself exercises
- Discover multiple ways to solve equations, moving seamlessly into higher dimension math concepts
- Apply the analytical power of differential equations in engineering and science,
- Score better on science, math, and standardized tests
A fast, effective self-teaching course, Differential Equations Demystified is the perfect shortcut to confidence and skill with crucial mathematical skills.
Review
From review by M. Henle, Oberlin College
Differential equations is an important subject that lies at the heart of the calculus. Here one sees how the calculus applies to real-world problems. Differential Equations DeMystified, (to use the spelling on the cover) is ...a serious, straightforward work. In style and substance this book is like standard differential equations books...The emphasis is consistently...on the computations needed to find...solutions to specific equations...
Synopsis
Here's the perfect self-teaching guide to help anyone master differential equations--a common stumbling block for students looking to progress to advanced topics in both science and math. Covers First Order Equations, Second Order Equations and Higher, Properties, Solutions, Series Solutions, Fourier Series and Orthogonal Systems, Partial Differential Equations and Boundary Value Problems, Numerical Techniques, and more.
About the Author
Steven Krantz, Ph.D., is Chairman of the Mathematics Department at Washington University in St. Louis. An award-winning teacher and author, Dr. Krantz has written more than 45 books on mathematics, including Calculus Demystified, another popular title in this series. He lives in St. Louis, Missouri.
Table of Contents
Preface
Chapter 1: What Is a Differential Equation?
Chapter 2: Second-Order Equations
Chapter 3: Power Series Solutions and Special Functions
Chapter 4: Fourier Series: Basic Concepts
Chapter 5: Partial Differential Equations and Boundary Value Problems
Chapter 6: Laplace Transforms
Chapter 7: Numerical Methods
Chapter 8: Systems of First-Order Equations
Final Exam
Solutions to Exercises
Bibliography
Index