Differential Equations and Their Applications : An Introduction to Applied Mathematics (Texts in Applied Mathematics, Vol. 11) | 
 enlarge | Author: Martin Braun
Publisher: Springer
Category: Book
List Price: $69.95
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Rating:  8 reviews
Sales Rank: 292921
Media: Hardcover
Edition: 4th
Pages: 578
Number Of Items: 1
Shipping Weight (lbs): 2
Dimensions (in): 9.2 x 6.4 x 1.3
ISBN: 0387978941
Dewey Decimal Number: 515.35
EAN: 9780387978949
Publication Date: December 5, 1992
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Condition: Hardcover. Moderate wear to cover. Writing on inside of cover.
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Product Description
Used in undergraduate classrooms across the country, this book is a clearly written, rigorous introduction to differential equations and their applications. Fully understandable to students who have had one year of calculus, this book differentiates itself from other differential equations texts through its engaging application of the subject matter to interesting scenarios. This fourth edition incorporates earlier introductory material on bifurcation theory and adds a new chapter on Sturm-Liouville boundary value problems. Computer programs in C, Pascal, and Fortran are presented throughout the text to show the read how to apply differential equations towards quantitative problems.
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| Customer Reviews: Read 3 more reviews...
 One of the best in the field January 3, 1997
9 out of 9 found this review helpful
This book covers its material thoroughly and clearly with the most interesting set of applications I've seen in a high-level text. It also contains all the linear algebra needed to understand the material. This book was based on a course the author taught. Indeed, Braun's claim that students taking linear algebra would refer to his course for a refresher is well-deserved. Exercises are generally difficult but the examples are easy to follow. Buy this if you want to truly understand the subject matter.
Engaging and stimulating text July 7, 2005
Steve Keen (Sydney, Australia)
8 out of 9 found this review helpful
As an academic I rarely if ever use textbooks because I find their writing style bland and disengaging--especially in my own area (economics). Braun's text is the exception to the rule: this is a textbook that is so well written it could qualify as entertainment. At the same time the major issues in the field are covered well, complete with an overview of the linear algebra required for doing ODEs and a good introduction to nonlinearity and chaos. It may not, as one reviewer notes, provide a complete and rigorous coverage of this highly technical field, but it does what a text should do but so few achieve: it excites its readers and inspires them to delve further into this fascinating discipline.
Learning D.E.'s Can Actually be Fun July 13, 1998
10 out of 12 found this review helpful
I have used this to teach DE's in a one to one tutoring context for a couple of years now, since I first picked it off a library shelf and felt literally like jumping for joy over how good it was. Not that I dislike Boyce / DiPrima, but suddenly I had a text that was really fun! Now, this is definitely a "what DE's are good for" kind of text, so if you feel that your students should suffer teething pains on a dry theoretical tome, this is NOT the book for you. Nevertheless, having had students chew up all their available time on this book, because they loved it, makes me recommend it highly.
Outstanding clarity; this is an excellent text July 28, 2006
Alexander C. Zorach (New Haven, CT)
3 out of 3 found this review helpful
This book is extraordinarily clear as well as being concise (but never too much so) in the mathematical parts. Discussion of applications is verbose, but is kept in separate sections; this material can be omitted entirely or read later without any detrimental effect to the flow of the book. However, the discussion of the applications is interesting and deep, and would be useful (and fun) for motivated students to read.
The book begins with a no-nonsense discussion of how to solve differential equations analytically. Unlike many books, it gives clear instructions to the reader as to how to know which techniques are applicable. Also, it does not introduce qualitative or numerical methods until it has already developed a number of analytic techniques, and in my opinion, this results in greater clarity than the path most books take of integrating (or should I say jumbling?) the material together. The book gradually and logically covers the ground between analytic and numerical, moving towards actually writing algorithms, which are included in the text. The emphasis is always on understanding. Exercises are straightforward and useful.
My only complaint is that, in this modern age, the C programs should be included in the text and the Pascal and FORTRAN ones relegated to the index. (It is the other way around, alas.)
This book is simply wonderful for anyone studying differential equations for the first time. I do not understand why undergraduate institutions use the more commercialized texts instead of ones like this. This is a great book; it would be excellent for a textbook or for self-study.
A good comprehensive ODE book May 21, 2006
Joan Zoellner (Arcata, CA USA)
1 out of 2 found this review helpful
I quite liked this book. It taught the material in a different order than I am used to, which gave me a more complete understanding. I would recommend it, especially to people who already know a bit about differential equations, as it is quite wordy and assumes some prior knowledge.
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