Product Description

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.

Perfect for a student going on to advanced analytical work in mathematics, engineering, and other fields of mathematical science.

Product Details

• Amazon Sales Rank: #150060 in Books
• Published on: 2004-10-01
• Original language: English
• Number of items: 1
• Binding: Paperback
• 323 pages

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... (Choice )

Krantz asserts that if calculus is the heart of modern science, differential equations are the guts. Writing for those who already have a basic grasp of calculus, Krantz provides explanations, models, and examples that lead from differential equations to higher math concepts in a self-paced format. He includes chapters on first-order and second-order equations, power series solutions and spatial functions, Fourier series, Laplace transforms, numerical methods, partial equations and boundary value problems. His models come from engineering, physics and other fields in math. He includes solutions to the exercises and a final exam. (Sci-Tech Book News )

From the Back Cover
A DIFFERENT WAY TO LEARN DIFFERENTIAL EQUATIONS

Now anyone with an interest in stepping up to higher math can do so—without 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 time—at 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. (20041201)

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.

Customer Reviews

A good introduction for science and engineering
I like this book. It has given me a very accessible overview of differential equations and how to solve them. It has filled many gaps in my knowledge remaining after years of study in physics and electronics. If you are studying advanced science or engineering and are wondering how the instrutor just pulled that solution from the magic hat, then this book could be for you. Recommended.

NOT FOR BEGINNERS
I thought this book would be a good introduction. Instead, it seems you need to have previous exposure and experience. As such, it failed to "demystify" anything for me.

A real introduction to differential equations
I like this book for two reasons. First of all it allows you to follow the maths and guides you to a good level from basic calculus. Secondly it actually explains the difficulty of definitions and the foundations of mathematics. That is, it doesn't just tell you things like "any wave function is a solution to the wave equation" and that's it. Instead it actually allows you to understand the problem so you don't need to doubt it anymore if you don't want to.

Therefore, this books shows you how to solve problems and explains what you need to do if you have any doubts by giving references and good introductions. This guy definitely knows the subject well enough as to explain it from first principles without losing you with the maths. Again, you do need quite a strong background in science and calculus to read this book and understand everything in it.