by Morris Tenenbaum, Harry Pollard
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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.
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Average Customer Review:
1 of 1 people found the following review helpful:
 Overall not bad, 2010-01-27
This product was here much earlier than expected. It's an ok text, not the best I have ever seen. It' not too complicated to follow but I find the biggest problem is keeping my page while am trying to do questions. It is very thick but has a small cover and its hard to keep open and work in at the same time. Yet there are lots of examples to look at for guidance and if you into this kinda thing- answers so you can check yours, unlike "An Introduction to Ordinary Differential Equations" by Robinson.
0 of 0 people found the following review helpful:
Ordinary Differential Equations, 2010-01-09
This is a great reference book covers a wide range of the basics of differential equations and techniques in solving them and lots of examples and problems.
2 of 2 people found the following review helpful:
My own little opinion on this great book, 2009-09-02
I took ODE this semester, and I was liking the subject until I got to read the textbooks assigned to it. It is impressive how the world is filled with giant text books that are absolutely dull and useless and extremely expensive. Luckly I have always been fond of Amazon, so I searched "Ordinary Differential Equations" and came upon this book, which at first glance looks tiny and unpromising, but trust me, this little beast doesn't only talk about ODE, it takes the subject, makes it its own, and in the most elegant of fashions transmits the knowledge so well that it even if I live in Ecuador and English is only my second language, I could grasp all what was necessary to, not only pass ODE, but to take my knowledge and apply it to computer programming right away.
Trust me, if a book teaches so well that you can go ahead and apply it just like that, it is something special.
Now strictly speaking on it's qualities:
First, the book is a breeze to read, you will not find yourself reading back again through the text because of the lack of good pedagogy, but be aware, the writer does not bother to make you laugh either (a quality most serious books should not have, but I like what Stephen Prata did on C++ Primer Plus). Secondly, Ordinary Differential Equations has all that you will probably need for the subject. Check the MIT Open Course Ware, I downloaded the exams on the web page and did them singlehandedly, only with what this book taught me. Actually, you'll see lots of other topics that MIT doesn't even cover, for example it has a very interesting section on numerical methods.
Something that has to be mentioned is that this book covers a great amount of material in a excellent order and pace. The writer never assumes that you are a genius on calculus, so he always makes sure to guide you, holding your hand on each topic, repeating theorems already mentioned to refresh your head, not skipping to many steps when solving examples. This feature is seen at it's best in the Series Methods section of the book. Also, the amount of problems is wonderful, they all have solutions and are right next to the problems, unlike the convention, which gives solutions only to the odd number problems and has them written at the very end of the book, something that I hate, for the constant page turning greatly damages the book. Don't you worry, the writer solves many examples and each subject, explaining everything so you can work on the problem set rather easily.
The only setbacks that I noticed on this book are that, when teaching the prerequisites to a subject, it doesn't bother to demonstrate the theorems (which is fine by me, because you should already know that stuff in the fist place), and it doesn't have all the fancy graphics that the outrageously expensive ODE books have (for this I use Matlab or Mathematica, so I also don't care about his). You also have to consider that his books is quite old, and the numerical methods are a bit dated, still, any good teacher will fill you in with the little updates made to the subject.
All in all this book is nothing short of amazing, I give it all my fingers up to anyone who is taking ODE or wants an awesome reference book. I found it easy to read, precise, and vast. This book will probably do you more justice than anything worth >$100.
16 of 18 people found the following review helpful:
 worth the low dover price with the following warnings..., 2009-05-14
I have had this book in my collection for over 20 years and it is a very good book on
ODE's. The authors really do go out of their way to define every term, provide a number of good examples, not skip too may steps in their derivations, and try to hold the hand of the reader as much as possible.
So why do I give this book only three stars? (Actually I give this book 3.5 stars)
The main reason is that the content is very old fashioned. The chapter on numerical methods is very out of date. I would argue that this is the most important topic as most ODE's arising in practice have no closed form solutions and must be solved numerically. The presentation also takes awhile to get going as much background/pre-req material is covered. This is fine
but the student in an ODE class already has a year of university level math behind them and a calc book on their
shelf. Modern
phase plane techniques (e.g. see the book by Strogatz) are not covered and this is a very important topic in practice.
I am not a big fan of the D-operator approach, which this book gives emphasis. Laplace transforms should
be covered sooner in the book - engineers use Laplace Transfroms to solve linear time invariant ODE's and this is probably
the most important analytical technique in practice. Power series solutions are becoming more of a relic -
A first course in ODE's should cover numerical methods in place of series solutions. if you
have to deal with special functions such as Bessel take up the study of series solutions then.
Also I am not surprised that most people really like this book. The older books in calc and ODE's really
do blow away all the full color, 4.5lb, glossy coloring-book style texts that are mass produced today. If you
like this book check out a solid old calculus book (say 2nd edition of Schwartz or 3rd edition of Thomas)
Another issue I have is that
I do not see how a student would come away from this book seeing the beauty of ODE's. Perhaps this is too much to ask for, but other books such as the one by Martin Braun really did motivate me to become an engineer and take further courses in dynamical systems. I cannot say the same for this text.
In summary, this book is well worth the low dover price. It covers the basics well and is written for the student.
It is a workhorse text and is surely a good supplement to any other text on the subject.
However I cannot say this is the best book on the subject as it does not give proper justice to numerical methods and
does not quite meet my motivational metric above.
3 of 3 people found the following review helpful:
Unbelievably Good, 2009-03-21
I don't give a damn what text you have been assigned - buy this book and Schaum's Differential Equations - work carefully through both and you will understand ODE's very well.
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