- Series: Dover Books on Mathematics
- Paperback: 848 pages
- Publisher: Dover Publications; Revised ed. edition (October 1, 1985)
- Language: English
- ISBN-10: 0486649407
- ISBN-13: 978-0486649405
- Product Dimensions: 1.5 x 5.5 x 8.5 inches
- Shipping Weight: 2.1 pounds (View shipping rates and policies)
- Average Customer Review: 4.7 out of 5 stars See all reviews (110 customer reviews)
- Amazon Best Sellers Rank: #12,230 in Books (See Top 100 in Books)
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Ordinary Differential Equations (Dover Books on Mathematics) Revised ed. Edition
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Top Customer Reviews
The book consists of six major subtopics: first-order equations, general nth-order linear equations, systems and nonlinear equations, series solution methods, numerical solution methods and existence/uniqueness theorems. Most of the subjects tend to be divided into two or three chapters, with the first one or two containing the theoretical aspect and computational techniques and the other consisting of applications to real world problems.
At some 800-odd pages the book is quite long, but the sheer amount of material covered is simply astounding; the book has several types of special ODEs and solution methods that I have not seen anywhere else, and the authors go to great lengths to make every concept fully clear to the reader while still being quite rigorous. I am personally somewhat pure-math oriented but also needed some practice with applied problems, and this text is sure to please both students of mathematics as well as those of the sciences due to the very large amounts of subject material contained in both areas. (the book is split about 55-45 in theory/application)
One very nice thing is that if there is some doubt as to whether or not the reader is comfortable with something from another subject (i.e. real analysis), the book does not assume that the reader is familiar wih that topic, but rather it goes through a short review of the topic that is self-contained enough for readers who have not heard of the topic before to get a good idea of it.Read more ›
Compendious and catholic, the book contains 65 lessons organized into 12 chapters. The student learns method after method after method with comfort and ease. A typical lesson succinctly begins with explicatory material followed with completed examples. Each lesson ends with a problem set, and to the salvation of humanity, almost all of the answers are provided, making this book great for self-study, reference, and/or supplementation. A satisfactory calculus background should be the student's only necessary qualification; the involved calculus often demands more perspiration than the differential equations themselves. Those who repent shall receive redemption!
Included applications, while eating considerable space, can be found compartmentalized in separate chapters. For instance, chapter 3 contains applications involving 1st order differential equations, including topics like interest, dilution and accretion, decomposition and growth, temperature, pursuit curves, the flow of water, rotation of a liquid in a cylinder, et cetera. Chapter 6 does the same thing with second order differential equations, dealing with undamped and damped motion, electric circuits, planetary motion, suspension cables, y'get the idea.
Summarizing the more strictly mathematical content also presents itself as an impossible task.Read more ›
Just for fun, I did a Google search using "Ordinary Differential Equations" as search text. I just wanted to see how my favorite differential equations textbook rated some forty years after it was printed and forty years after I worked my way through it alone without an instructor. I expected no response. I was very surprised (and pleased) to see it come up as the first item in the list: Tenenbaum and Pollard. I own the Harper and Row first edition, first printing, dated March, 1964, that I purchased in Japan. It belongs number one! Five Solid Stars. Kudos to Dover for reprinting the book. Dover is an essential reprint resourse.
At the time I purchased the book, I was very interested in mathematics, engineering, and physics textbooks that one could read without the aid of an instructor as I was teaching myself mathematics, engineering, and physics without access to anyone who could field questions at this level. This is one of those very rare books that was written with the self taught student in mind, be it either accidental or intentional.
Mathematics is supposed to be fun. Most math text books are notoriously less than ideally written and tedious to read. When I studied differential equations in class at the university, the text was not too well written and the course content followed the text. Neither could touch this gem which I had previously worked my way through.
The examples are excellent and wide spectrum. They pull examples from all the many corners of physics, including everyday things pulled from the home that you do not give a second thought to.Read more ›
Most Recent Customer Reviews
This book cleared up the subject for me, after having a really bad teacher who used a book that was missing important concepts.Published 23 days ago by Andrew
Simply put, this book is gold. For self study or any undergraduate course in differential equations. Read morePublished 2 months ago by Ramon J.
I was shocked at how nice my copy of the book is. Not only is it aesthetically pleasing, the actual content of the book is informative. Read morePublished 2 months ago by Salem Clay Wright
Everything there is to know about ODEs. Some of the terminology is a bit outdated, but all the important concepts, and even background reviews, are there.Published 2 months ago by LC
i found this book to be a little bit confusing in my introductory DE class found it to take to many steps to arrive to a simple conclusion guess it is more focused towards... Read morePublished 3 months ago by John Kevin Linares Sagastume
Pull this bad boy out on the bus and girls for miles away will know to avoid you.Published 3 months ago by Robert Wise