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Differential Equations Computing and Modeling (4th Edition) Hardcover – August 10, 2007

ISBN-13: 978-0136004387 ISBN-10: 0136004385 Edition: 4th

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Product Details

  • Hardcover: 600 pages
  • Publisher: Pearson; 4 edition (August 10, 2007)
  • Language: English
  • ISBN-10: 0136004385
  • ISBN-13: 978-0136004387
  • Product Dimensions: 8.2 x 1.5 x 10 inches
  • Shipping Weight: 2.6 pounds (View shipping rates and policies)
  • Average Customer Review: 2.5 out of 5 stars  See all reviews (17 customer reviews)
  • Amazon Best Sellers Rank: #112,737 in Books (See Top 100 in Books)

Editorial Reviews

From the Back Cover

This practical book reflects the new technological emphasis that permeates differential equations, including the wide availability of scientific computing environments likeMaple, Mathematica,and MATLAB; it does not concentrate on traditional manual methods but rather on new computer-based methods that lead to a wider range of more realistic applications.The book starts and ends with discussions of mathematical modeling of real-world phenomena, evident in figures, examples, problems, and applications throughout the book.For mathematicians and those in the field of computer science and engineering. 



About the Author

C. Henry Edwards is emeritus professor of mathematics at the University of Georgia. He earned his Ph.D. at the University of Tennessee in 1960, and recently retired after 40 years of classroom teaching (including calculus or differential equations almost every term) at the universities of Tennessee, Wisconsin, and Georgia, with a brief interlude at the Institute for Advanced Study (Princeton) as an Alfred P. Sloan Research Fellow. He has received numerous teaching awards, including the University of Georgia's honoratus medal in 1983 (for sustained excellence in honors teaching), its Josiah Meigs award in 1991 (the institution's highest award for teaching), and the 1997 statewide Georgia Regents award for research university faculty teaching excellence. His scholarly career has ranged from research and dissertation direction in topology to the history of mathematics to computing and technology in the teaching and applications of mathematics. In addition to being author or co-author of calculus, advanced calculus, linear algebra, and differential equations textbooks, he is well-known to calculus instructors as author of The Historical Development of the Calculus (Springer-Verlag, 1979). During the 1990s he served as a principal investigator on three NSF-supported projects: (1) A school mathematics project including Maple for beginning algebra students, (2) A Calculus-with-Mathematica program, and (3) A MATLAB-based computer lab project for numerical analysis and differential equations students.

David E. Penney, University of Georgia, completed his Ph.D. at Tulane University in 1965 (under the direction of Prof. L. Bruce Treybig) while teaching at the University of New Orleans. Earlier he had worked in experimental biophysics at Tulane University and the Veteran's Administration Hospital in New Orleans under the direction of Robert Dixon McAfee, where Dr. McAfee's research team's primary focus was on the active transport of sodium ions by biological membranes. Penney's primary contribution here was the development of a mathematical model (using simultaneous ordinary differential equations) for the metabolic phenomena regulating such transport, with potential future applications in kidney physiology, management of hypertension, and treatment of congestive heart failure. He also designed and constructed servomechanisms for the accurate monitoring of ion transport, a phenomenon involving the measurement of potentials in microvolts at impedances of millions of megohms. Penney began teaching calculus at Tulane in 1957 and taught that course almost every term with enthusiasm and distinction until his retirement at the end of the last millennium. During his tenure at the University of Georgia he received numerous University-wide teaching awards as well as directing several doctoral dissertations and seven undergraduate research projects. He is the author of research papers in number theory and topology and is the author or co-author of textbooks on calculus, computer programming, differential equations, linear algebra, and liberal arts mathematics.

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Customer Reviews

This book is horribly written.
The examples are trivial, nothing is explained well, and the Theorems are only given and then haphazardly discussed.
Steven A. Boothe
There are better Diff Eq books.
Tim Duggan

Most Helpful Customer Reviews

17 of 18 people found the following review helpful By Undergrad on April 9, 2008
Format: Hardcover
This book has several problems.
1. There are numerous typos in the text as well as in the solutions printed in the back of the book (and in the solutions manual). It can be very frustrating to puzzle over a problem for a long time only to find you were right and the book was wrong.
2. Several important techniques are only explained as short paragraphs in the exercise section (ie Euler Equation substitution, Reduction of Order, and others). You are left to try and figure out how to apply the vague instructions by looking at the solutions manual or asking someone else. I found this to be the biggest problem with the book.
3. The end of each example or concept is marked by a small red box in the margin of the page. These boxes are easy to miss so the distinction between example and theory, as well as between different aspects of the theory will become blurred unless you pay close attention to when the red boxes appear. Consequently results derived from theory and results derived from specific examples tend to blend together.
4. Often the authors add length to problems by providing the given values in non-SI units and the constants of nature in SI units. While this isn't a serious problem with the book, it would make the book needlessly annoying if you were using it for self study.
For the class that required this book I ended up checking out a different textbook on differential equations from the library to learn from. I only used this one for the questions we were assigned. If you have any choice in the matter I would recommend getting a different book.
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4 of 5 people found the following review helpful By P. Lee on April 10, 2009
Format: Hardcover
This just isn't helpful for learning DiffEq at all. Yes, it's very "applied" and covers all the topics, but it does so in an extremely short and quick manner. I'm sure the material would be easier with a good professor, but this book is HORRIBLE for self study. It's very hard to follow the writing, since the authors really like to just jump steps without really explaining what's going on. In addition, using the solutions manual doesn't help because they take even MORE shortcuts on that. The typos throughout the book really don't help either. I could be wrong and just be horrible at math, but I figure that if I've made it up to a class like this, I can't be bad enough that it's just me that can't understand the book very well. Granted I have an A in the class, but I think that with a much better textbook I could've gotten to this point with much less effort (and less strained eyes)
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3 of 4 people found the following review helpful By Max Thompson on August 2, 2009
Format: Hardcover
The introductory chapter is relatively well written, however the book quickly devolves. The authors seem more bent on showing the reader how great they are at math, and less at teaching. Examples are convoluted and incomplete given the problem sets that follow; important theory is left as homework problems in the individual sections (such as reduction of order), and then the reader is left to wonder if he/she actually performed this exercise correctly; there are numerous textual and factual errors within the book; and, the student solutions companion book is of little help, as the authors routinely skip important steps, and reduce the manual to little more than a list of answers (sans explanation).
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Format: Hardcover
This textbook is a good choice for a class on introductory differential equations for students of science and engineering. That is to say that it focuses on the applications and not so much on the theory. The book even includes some Matlab, Maple, and Mathematica code. The book One of the virtues of this book is the number (a lot) of practice problems attached to each section. Also, the back of the book includes solutions to many even numbered problems (and odd problems, too). Here is a reproduction of the table of contents for this book (since there is no "look inside" feature):

1. First Order Differential Equations
2. Mathematical Models and Numerical Methods
3. Linear Equations of Higher Order
4. Introduction to Systems of Differential Equations
5. Linear Systems of Differential Equations
6. Nonlinear Systems and Phenomena
7. Laplace Transform Methods

One of my few complaints is that some of the material is introduced in strange places (such as in a practice problem), and sometimes it was frustrating when a concept was introduced only with respect to its application (one instance was second order systems, which were tied to mechanical systems). Sometimes it would have been nice to learn the ins and outs of a concept and then move on to its applications. But all in all I think that the student looking for an applied approach to differential equations will do well to give this textbook a look.
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Format: Hardcover
I taught a problem-based class on introductory differential equations using mostly this book to get material. The strengths are that it covers *a lot* of topics, and usually plenty of good explanation/examples are given for these topics. Unfortunately, my experience was that it is weak in a handful of ways like others have mentioned: it skips some proofs or lacks clear enough explanations for some topics, such as reduction of order and series solutions around singular points with non-fractional differences in roots to indicial equations. The trend is that it gets less and less clear the closer you are to the end chapters on PDEs -- however, you could argue that's the nature of DE!
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Differential Equations Computing and Modeling (4th Edition)
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