Ebook Differential Equations Demystified, by Steven Krantz
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Differential Equations Demystified, by Steven Krantz
Ebook Differential Equations Demystified, by Steven Krantz
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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.
- Sales Rank: #274698 in Books
- Published on: 2004-09-14
- Released on: 2004-09-14
- Original language: English
- Number of items: 1
- Dimensions: 9.10" h x .85" w x 7.30" l, 1.06 pounds
- Binding: Paperback
- 323 pages
Review
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.
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...
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.
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.
Most helpful customer reviews
38 of 41 people found the following review helpful.
Perfect for my application
By Crom B. Campbell
I teach this subject. The book is perfect for a first course whose purpose is to introduce foundational topics from both ordinary and partial differential equations. Not a lot of theory, but I find that the theory undergirding a technique is a lot more palatable when the student has confidence in his ability to use that technique in practice. DE Demystified gets right to the point, presents the method, and then gives examples and practice problems. I learn math by doing it and this book is just what I was looking for. Several other books are available in the classroom for students who choose to go more in depth on any particular topic, and I use other resources for additional problems and to code programs for numerical solutions. But this is the book the students must buy and bring to class. I really like the presentation in DE Demystified.
69 of 74 people found the following review helpful.
Not as Bad As Calc Demystified
By Aaron Rutledge
Differential Equations Demystified is written by Steven Krantz, the author of the not-so-popular Calculus Demystified. Admittedly, this book is not any more user friendly than Calculus demystified; he spends no time explaining jargon in informal language; he constantly uses different notation for derivatives, etc. But at this level, at least, it is more acceptable. Any reader tackling the subject of differential equations with any seriousness will have to face rigors of mathematical language at some point.
Surprisingly Krantz claims in his introduction that anyone who has finished Caculus Demystified will be prepared for this book. Unfortunately by page fifteen he is using concepts from multivariable calculus (partial derivatives) that, if I'm not mistaken, were not covered in Calculus Demystified. Unless you are confident in your mathematical skills I would recommend brushing up your multivariable calculus before tackling this text.
For the most part, however, the book proceeds in typical fashion. The reader will be introduced to most of the key topics covered in a typical college Diff Eq class including first and second order differential equations, series solutions, and other basic topics. If you're just looking to get the "flavor" of Diff. Eqs then this book will suffice. However, do not expect to come away from this book with a deep knowledge of the subject matter. He concisely covers most of the basic procedures for solving and manipulating standard ordinary differential equations, and doesn't bog the reader down in much theory. Answers are provided in the back of the book for most of the problems in each chapter.
However, for readers who want a more thorough introductory look at applied differential equations I know of no better introduction than Tenenbaum's Ordinary Differential Equations. Tenenbaum does an excellent job of introducing the theory behind the equations and covers many of the fine details that Krantz leaves out. Another strength of Tenenbaum is his resistance to undue formalism. He takes the time to flesh out the motivation behind each topic with historical asides and physical applications. Krantz does not do this. Seeing as both books are selling for the roughly the same price [...] I see little justification in recommending this work over Tenenbaum's. The only circumstance under which I would recommend Krantz is to the reader who needs a concise and breezy introduction to the methods of Differential Equations. For deeper understanding consult Tenenbaum. And if you are looking for a source for solved practice problems I would direct you to Differential Equations Prolem Solver which has thousands of solved problems.
Overall, a solid, concise effort. But when compared to other books in its league like "Calculus for Dummies" and "How to Ace Calculus" it falls a bit short.
PS: For a great informal brush up on Multivariable caclus I recommend "How to Ace the rest of Caculus".
7 of 10 people found the following review helpful.
Greatly Underwhelmed
By Herbert L Calhoun
Except for the interesting treatment of Kepler's equations in chapter 2, there is not much to reccommend this version over others. This is a greatly stripped-down rehash of the standard fare: problems, exams and all. I was greatly underwhelmed. Demystification requires at the very least minimal discussions of some of the applications and the nature and utility of differential equations to other areas of mathematics. I found none of that here and thus expected a lot more. Instead of Demystification, it should just be called a "rehashed summary of differential equations."
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