Great Price "A Workbook for Differential Equations" for $53.57 Today

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A Workbook for Differential Equations Overviews

An accessible and hands-on approach to modeling and predicting real-world phenomena using differential equations

A Workbook for Differential Equations presents an interactive introduction to fundamental solution methods for ordinary differential equations. The author emphasizes the importance of manually working through computations and models, rather than simply reading or memorizing formulas.

Utilizing real-world applications from spring-mass systems and circuits to vibrating strings and an overview of the hydrogen atom, the book connects modern research with the presented topics, including first order equations, constant coefficient equations, Laplace transforms, partial differential equations, series solutions, systems, and numerical methods. The result is a unique guide to understanding the significance of differential equations in mathematics, science, and engineering.

The workbook contains modules that involve readers in as many ways as possible, and each module begins with "Prerequisites" and "Learning Objectives" sections that outline both the skills needed to understand the presented material and what new skills will be obtained by the conclusion of the module. Detailed applications are intertwined in the discussion, motivating the investigation of new classes of differential equations and their accompanying techniques. Introductory modeling sections discuss applications and why certain known solution techniques may not be enough to successfully analyze certain situations. Almost every module concludes with a section that contains various projects, ranging from programming tasks to theoretical investigations.

The book is specifically designed to promote the development of effective mathematical reading habits such as double-checking results and filling in omitted steps in a computation. Rather than provide lengthy explanations of what readers should do, good habits are demonstrated in short sections, and a wide range of exercises provide the opportunity to test reader comprehension of the concepts and techniques. Rich illustrations, highlighted notes, and boxed comments offer illuminating explanations of the computations. The material is not specific to any one particular software package, and as a result, necessary algorithms can be implemented in various programs, including Mathematica®, Maple, and Mathcad®. The book's related Web site features supplemental slides as well as videos that discuss additional topics such as homogeneous first order equations, the general solution of separable differential equations, and the derivation of the differential equations for a multi-loop circuit. In addition, twenty activities are included at the back of the book, allowing for further practice of discussed topics whether in the classroom or for self-study.

With its numerous pedagogical features that consistently engage readers, A Workbook for Differential Equations is an excellent book for introductory courses in differential equations and applied mathematics at the undergraduate level. It is also a suitable reference for professionals in all areas of science, physics, and engineering.

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Great Price "Differential Equations with Mathematica, Third Edition" for $54.17 Today

Abell and Braselton strike a nice balance between the analytical solution of differential equations by hand, and numerical solution by computer. Mathematica is used to simplify some of the details, but they teach how to do everything by hand, including programming runge-kutta solution methods, fourier series, and other topics that lazier authors might have skipped over.

Every chapter starts with basic definitions and builds to useful solution techniques. The book is packed with fully worked examples. My edition is a few years old and talks about the "newly released" Mathematica 3.0, but everything applies just as well to version 4.2.


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Differential Equations with Mathematica, Third Edition Overviews

The Third Edition of the Differential Equations with Mathematica integrates new applications from a variety of fields,especially biology, physics, and engineering. The new handbook is also completely compatible with recent versions of Mathematica and is a perfect introduction for Mathematica beginners. The book/CD-ROM package contains built-in commands that lets the user solve problems directly using graphical solutions.

* Focuses on the most often used features of Mathematica for the beginning Mathematica user
* CD-ROM contains all Mathematica inputs from the text
* New applications from a variety of fields, including engineering, biology, and physics
* All applications were completed using recent versions of Mathematica

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Customer Review

Not Good as a Text - Redmond Geek -
If you're taking a course in ODEs and your primary text doesn't have some kind of Mathematica supplement, then this book might help you learn to solve differential equations with Mathematica.

However, this book most emphatically is *NOT* a good place to learn diffy Q's if you're a novice or you don't have some other source of instruction. The author tends to dance around from topic to topic a bit much; she frequently presents the "condensed" version of definitions or proofs; and she has a tendency to drop very advanced notions (e.g. nonlinear equations) into the middle of simple discussions without warning. Much of the time, she seems to be assuming that her audience already knows the subject matter, so she can just give a quick sketch of some topic.

This book really doesn't provide enough value to justify its high price.

barely adequate as introduction - Patrick Linnen -
I am using this book to brush up on the subject. In Chap 2, for instance, I have found a couple of places were the examples using Mathematica and those worked out on paper do not follow each other. Errors generated are shown for some Mathematica examples but not others.
Heavily dependent on using Mathematica to do the legwork, coverage of the basics is sparse.
Not a book for people just starting out learning Differential Equations. I would have rated this book lower if I was depending on it as a textbook or tutorial.

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Differential Equations Demystified

Differential Equations Demystified Review

I read some of the other reviews before writing this, and -- with all due respect, etc. etc. -- I think some of the other reviewers are missing the point of the entire series (Demystified) books.

The book is intended as a short, pithy, introduction to the topic. It makes no pretense of providing in-depth coverage, either of theory, or of all possible topics. This series of books is intended to provide a survey of many, but not all, commonly used techniques in a field; and it is intended to provide relatively simple examples and exercises so that the self-teaching student can get his/her feet wet.

I've just finished two chapters (and skimmed the rest), and so far I'm very pleased with the level of the treatment. You do need some prior calculus background, but if you have that, the book should be easy to follow. My own background was undergraduate physics, and, years later, I've decided to brush up. The book provides excellent review, as well as introducing me to topics I never quite "got" back in college.

If you want in-depth theory, or more comprehensive coverage of various techniques, or more advanced and challenging examples/home work problems, *or* conditions for solubility, go buy a standard, 0 college textbook on DiffEQs. However, if you want an accessible, inexpensive, brief but not overly-brief treatment of the fundamental techniques of solving differential equations, this book is very good. (By the way, the book includes the basics for at least some partial differential equations, as well as ordinary differential equations.)

Is it perfect? No. There is one subsection, for example, on using DiffEQs to make the connection between Newton's laws and Kepler's laws, and that particular subsection is not entirely clear. But I can forgive an occasional rough spot in a book that is overall clearly written, and well-designed for the self-study student.

Differential Equations Demystified Features

• ISBN13: 9780071440257
• Condition: NEW
• Notes: Brand New from Publisher. No Remainder Mark.
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Overviews

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.

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Customer Review

If you can understand this book, you probably don't need to read it in the first place. - Michael N. Murphy - Amherst, MA
I gave this book such a low rating because it falls way short of the expectations of its intended audience. This book is terrible choice for someone who knows nothing about differential equations and wants to teach themself. The examples and explanations and derivations are difficult to follow and not really any different from what you would find in a typical college textbook. I was hoping to find a book that explained differential equations in plain, simple English and avoided using jargon and confusing symbols. I was disappointed. The author also skips a lot of steps in the examples. The answers in the back of the book are not very well explained. The book is full of problems titled "Now you try" but the answers are not given. How am I supposed to know if I did it right? I feel that the author's mathematical formalism and usage of symbols was out of place. I see nothing wrong with explaining things using language like "now you take this thing here, and derive it, then multiply by this other over here... etc". If you can follow the author, you probably don't need this book in the first place. This book is no more user friendly than a typical 800 page textbook, just shorter and soft cover.

Greatly Underwhelmed - Herbert L Calhoun - Falls Church, VA USA
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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