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Type of bind: Hardcover
Dewey Decimal Number: 511
EAN num: 9780495012658
ISBN number: 0495012653
Label: Brooks Cole
Manufacturer: Brooks Cole
Quantity: 1
Page Count: 848
Printing Date: September 19, 2005
Publishing house: Brooks Cole
Sale Popularity Level: 3177
Studio: Brooks Cole
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Product Description:
Incorporating a modeling approach throughout, this exciting text emphasizes concepts and shows that the study of differential equations is a beautiful application of the ideas and techniques of calculus to everyday life. By taking advantage of readily available technology, the authors eliminate most of the specialized techniques for deriving formulas for solutions found in traditional texts and replace them with topics that focus on the formulation of differential equations and the interpretations of their solutions. Students will generally attack a given equation from three different points of view to obtain an understanding of the solutions: qualitative, numeric, and analytic. Since many of the most important differential equations are nonlinear, students learn that numerical and qualitative techniques are more effective than analytic techniques in this setting. Overall, students discover how to identify and work effectively with the mathematics in everyday life, and they learn how to express the fundamental principles that govern many phenomena in the language of differential equations.
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Rated by buyers 
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I am taking Differential equations for the very first time as a college student and we are using this book. Previous to taking this class I purchased an old Dover publication reprint by Tenenbaum and Pollard, and read it over the summer.
Picked up this new book due to the homework problems and the fact that my teacher(if you could call him that) reads directly from the book.
Well needless to say this new book is "magical". They expect the new student to start creating equations on your own and they also expect you to intuitively derive solutions from these differential equations with no experience. What really grinds my gears is when they use the words "simple" and "easy" to describe what they are teaching. It isn't always simple and easy unless you practice practice practice, and with the short amount of problems to work in this book its impossible.
Do yourself a favor...get a good teacher and use the Tenebaum/Pollard book if you are serious about learning Differential equations.
Stay away from this BOOK at all COSTS...I warned you!
Rated by buyers 
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If you have an instructor like mine who does not like to cover all the minor details of this subject, you need this solutions manual to show you how to do the hw problems. It's worth the money but try to get a used one if you can.
Rated by buyers -
Worst. Book. Ever.
I am not exaggerating.
Insufficient depth and poor examples that do not coincide with problems. Proofs are round-about.
Rated by buyers 
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Great for learning. Poor for reference.
This book is unique. Most differential equations textbooks simply provide formulae for different types of problems, but you don't really see the big picture. This book lets you see the big picture, but omits many of the most useful formulae that you may need in your career. This for that. It would be nice to see a book with the best of both worlds, but if you simply want to learn and understand the topic, this book is the way to go. Also, there is a good emphasis on qualitative and numerical techniques. Students often feel like they get less out of a mathematics class when qualitative and numerical techniques are emphasised over more analytic approaches. However, those of us who have worked in the "real world" know that the qualitative and numerical techniques are probably even more important. I have worked as a research statistician and my research areas emphasise computing. When I'm presented with real problems and real data (which, in my career, usually comes in large, unmanageable quantities), do I usually pull out my notebook and tackle the problem in a very precise manner, working out an exact solution? No, quite often I cannot realistically do that. Now I'll admit that I don't use much from this particular field on the job, but it still applies. Moving on, I must also mention that the book does a very good job at explaining these qualitative and numerical techniques in addition to things that are more analytic, although it is sometimes a little too verbose.
Regarding applications, the book covers a lot of fields and does put a big emphasis on applications. Physics, biology (especially population growth models), and electrical/computer engineering receive the most treatment. Overall, I would say that the book does an excellent job at including plenty of applications and choosing meaningful ones.
I don't have much to say about the exercises. Most aren't too contrived and they mixed up the difficulty fairly well. However, I would have liked to see more "hard" problems.
In summary, I'd recommend that you pick up a different book if you need a reference for work or research, but pick this one up if you actually want to learn and UNDERSTAND the basics of differential equations.
Rated by buyers 
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So i really hate this book... it give maybe one example of certain concepts and they are not even that descriptive. i might just be use to my other math books... but coming from a girl who is a math major, i would stay away!!!
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