|
|
Title: Ordinary Differential Equations
Purchase
Item
Manufacturer: Dover Publications
List Price: $24.95
Our Price: $15.36
|
|
| Customer Reviews: |
| Ordinary Differential Equations by Dover Publications The Book Was Composed by the Old Wisdoms | I certainly enjoy reading this book.
An excellent applied mathematics text book for engineers and scientists. | | Ordinary Differential Equations by Dover Publications Very useful for an intro course | In an Intro to ODE course I took, we used the Edwards and Penny book merely as a reference for exercises and concepts. Most of the instruction was done primarily from the instructor's own books and from what he felt was more useful for the class.
Trying to read through the E.&P. book was painful at best, and useless at its worst, so this text became invaluable to say the least. This book does the job where the E.&P. book did not, to top it off it has plenty of exercises and detailed solutions for sample problems. This text covers about 70% of that course. It falls short of 5 stars because although the material in this book is presented with detail and clarity, its approach to an ODE course is outdated. Modern topics such as Fourier series, exponential matrices, systems of 4 or more equations linear nonlinear or dynamic, are things that are brought up in a typical ODE course taught today which are not mentioned in the book(I assume this was considered too difficult to solve by hand in the age when math software for the freshman was nonexistent). | | Ordinary Differential Equations by Dover Publications Just Great | | This book is rigorous but understandable, it truly does provide an exhaustive survey of ODE. | | Ordinary Differential Equations by Dover Publications Superb book | This excellent book is probably superior to most of the run-of-the-mill ODE texts now in use. It's questionable how many sophomore ODE courses teach students how to solve some of the ODEs covered even in the first few sections of this comprehensive text. Of course, in this day and age, it's becoming fashionable to give any kind of DE to a computer to solve (even analytically), but knowledge of the ideas and methods behind basic ODEs remains essential in many fields.
Which isn't to say that this book is "difficult". Rather, it's very straightforward, yet with sufficient theoretical background to elucidate the ideas presented. Some of the exercises are proofs (often of results used in the text), but this is clearly an applied math text for those needing to solve ODEs, rather than a deep exploration of real analysis or group theory (although terms like "differential" are defined with due precision). A few theorems are stated without proof, or proved in specific cases only (again, probably out of a desire to avoid introducing the tools of real analysis). This book should be easily accessible to anyone with first-year university calculus (covering integration techniques, inverse trig functions, and rudimentary Taylor series).
The exercises are innumerable, and all have solutions (though often there exists more than one form of the correct solution).
This text is rather dated, but this shows only in a couple of places. The chapter on numerical methods is probably slightly old-fashioned, and matrix methods don't seem to receive coverage in the section on systems of ODEs. Both of these can easily be supplemented, however, and so these two points are minor.
Highly recommended. | | Ordinary Differential Equations by Dover Publications The best book on Ordinary Differential Equations | A. Basir Wardak, Halifax, UK, 12/04/07.
There is no doubt about the clarity, completeness and organisation of this book - Ordinary Differential Equations. It is well written; each small topic is followed by plenty of suitable numerical examples, which further reinforce the theory. All questions in the exercises have answers,which will increase confidance of students in solving ODE problems. I think this book will be a useful refernce for many undergraduate students in disciplines such as Engineering (Electrical, Mechanical), Applied Mathematics, Computer Science, Physics, Biology, etc.
I have recently purchased this book; it has arrived in a good time and was well packed. It is well worth the money also. My only reservations are: the quality of paper used in this book is a bit low, and I think after sometimes, in some parts of the book, the text will gradually disappear or will be very difficult to read. Its thickness could have also been reduced by increasing the size. Anyhow, this book still deserves a five stars rating.
| | Ordinary Differential Equations by Dover Publications Product Description | Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more.
|
| |
