Newsletter   Secure Checkout   Shopping Cart (0 Items)  
Search:    Welcome Guest! Save up to 30-40% on most items with our awesome everyday discounts!

Ordinary Differential Equations (Universitext) [Paperback]

Our Price $ 61.05  
Retail Value $ 64.95  
You Save $ 3.90  
Item Number 231489  
Buy New $61.05
Available on the Internet only.

Item description for Ordinary Differential Equations (Universitext) by Vladimir I. Arnold...

There are dozens of books on ODEs, but none with the elegant geometric insight of Arnol'd's book. Arnol'd puts a clear emphasis on the qualitative and geometric properties of ODEs and their solutions, rather than on theroutine presentation of algorithms for solving special classes of equations.Of course, the reader learns how to solve equations, but with much more understanding of the systems, the solutions and the techniques. Vector fields and one-parameter groups of transformations come right from the startand Arnol'd uses this "language" throughout the book. This fundamental difference from the standard presentation allows him to explain some of the real mathematics of ODEs in a very understandable way and without hidingthe substance. The text is also rich with examples and connections with mechanics. Where possible, Arnol'd proceeds by physical reasoning, using it as a convenient shorthand for much longer formal mathematical reasoning. This technique helps the student get a feel for the subject. Following Arnol'd's guiding geometric and qualitative principles, there are 272 figures in the book, but not a single complicated formula. Also, the text is peppered with historicalremarks, which put the material in context, showing how the ideas have developped since Newton and Leibniz. This book is an excellent text for a course whose goal is a mathematical treatment of differential equations and the related physical systems.

Promise Angels is dedicated to bringing you great books at great prices. Whether you read for entertainment, to learn, or for literacy - you will find what you want at!

Item Specifications...

Pages   334
Est. Packaging Dimensions:   Length: 0.75" Width: 6.5" Height: 9.75"
Weight:   1.15 lbs.
Binding  Softcover
Release Date   Jul 26, 2006
Publisher   Springer
ISBN  3540345639  
ISBN13  9783540345633  

Availability  54 units.
Availability accurate as of Oct 24, 2016 06:07.
Usually ships within one to two business days from La Vergne, TN.
Orders shipping to an address other than a confirmed Credit Card / Paypal Billing address may incur and additional processing delay.

More About Vladimir I. Arnold

Register your artisan biography and upload your photo! Are You The Artisan or Author behind this product?
Improve our customers experience by registering for an Artisan Biography Center Homepage.

Product Categories

1Books > Special Features > New & Used Textbooks > Sciences > Mathematics
2Books > Special Features > New & Used Textbooks > Sciences > Physics
3Books > Subjects > Professional & Technical > Professional Science > Mathematics > Applied > Differential Equations
4Books > Subjects > Professional & Technical > Professional Science > Mathematics > Mathematical Analysis
5Books > Subjects > Professional & Technical > Professional Science > Physics > Mathematical Physics
6Books > Subjects > Science > General
7Books > Subjects > Science > Mathematics > Applied > Differential Equations
8Books > Subjects > Science > Mathematics > Applied > General
9Books > Subjects > Science > Mathematics > General
10Books > Subjects > Science > Mathematics > Mathematical Analysis
11Books > Subjects > Science > Physics > Mathematical Physics

Reviews - What do customers think about Ordinary Differential Equations (Universitext)?

changed my life  Jun 28, 2008
Well differential equaitons are all about change, and this book changed my life. I read this more than 30 years ago, and all the mathematics I know, I mean really know, I learned from this book. Along with Aristotle's ethics, it is probably the most important book in my life.
ARNOLD==The MASTER!!!  Aug 18, 2006
No doubt the best book on ODE by a master!! Ecuaciones Diferenciales Ordinarias (Fondos Distribuidos) Kiseliov Krasnov is another great book! Translated in English!! Like Spivak's Calculus on Manifolds, thin but good!!!
MDC  Jul 13, 2006
This is a classic in the field. Excellent presentation and geometric perspective of dynamical systems. Most definitely a book to be kept as reference.
wow! differential equations made appealing  Dec 20, 2005
I had always hated d.e.'s until this book made me see the geometry. And I have only read a few pages.

I never realized before that the existence and uniqueness theorem defines an equivalence relation on the compact manifold, where two points are equivalent iff they lie on the same flow curve. This instantly renders a d.e. visible, and not just some ugly formulas.

He also made me understand for the first time the proof of Reeb's theorem that a compact manifold with a function having only 2 critical points is a sphere. If they are non degenerate at least, the proof is simple. Each critical point has a nbhd looking like a disc. In between, the lack of critical points means there is a one parameter flow from the boundary circle of one disc to the other, i.e. thus the in between stuff is a cylinder.

Hence gluing a disc into each end of a cylinder gives a sphere! It also makes it clear why the sphere may have a non standard differentiable structure, because the diff. structure depends on how you glue in the discs.

What a book. I bought the cheaper older version, thanks to a reviewer here, and I love it. No other book gives me the geometry this forcefully and quickly. Of course I am a mathematician so the vector field and manifold language are familiar to me. But I guess this is a great place for beginners to learn it.

One tiny remark. He does not mind "deceiving you" in the sense of making plausible statements that are actually deep theorems in mathematics to prove. E.g. the fact that in a rectangle it is impossible to join two pairs of opposite corners by continuous curves that do not intersect, is non trivial to prove.

Hence the staement on page 2 that the problem is "solved" merely by introducing the phase plane, is not strictly true, until you prove the intersection statement above. All the phase plane version does for me is render the problem's solution highly plausible, and show the way to solving it. You still have to do it. But it was huge fun thiunking up a fairly elementary winding number argument for this fact.

Good teachers know how to deceive you instructively by making plausible statements that a beginner is willing to accept. I presume a physicist, e.g., would not quarrel with the statement above about curves intersecting.

This is the best differential, equaitons book I know of if you want to understand what they are, as opposed to learn to calculate canned solution fornmulas for special ones. He even makes clear what it is that is special about the special ones, e.g. linear equations are nice not just because the solutions are familiar exponential functions, but because the flow curves exist for all time,...
Amazing  Nov 18, 2005
This is an amazing book. Arnold's style is unique - very intuitive and geometric. This book can be read by non-mathematicians but to really appreciate its beauty, and to understand the proofs that sometimes are just sketched, it takes some mathematical culture. This is the way ordinary differential equations should be taught (but they are not).

Write your own review about Ordinary Differential Equations (Universitext)

Ask A Question or Provide Feedback regarding Ordinary Differential Equations (Universitext)

Item Feedback and Product Questions
For immediate assistance call 888.395.0572 during the hours of 10am thru 8pm EST Monday thru Friday and a customer care representative will be happy to help you!

Help us continuously improve our service by reporting your feedback or questions below:

I have a question regarding this product
The information above is incorrect or conflicting
The page has misspellings or incorrect grammar
The page did not load correctly in my browser or created an error.

Email Address:
Anti Spam Question. To combat spammers we require that you answer a simple question.
What color is the sky?
Leave This Blank :
Do Not Change This Text :

Add This Product Widget To Your Website

Looking to add this information to your own website? Then use our Product Widget to allow you to display product information in a frame that is 120 pixels wide by 240 pixels high.

    Copy and paste the following HTML into your website and enjoy!

Order toll-free weekdays 10am thru 10pm EST by phone: 1-888-395-0572 (Lines are closed on holidays & weekends.)
Customer Service | My Account | Track My Orders | Return Policy | Request Free Catalog | Email Newsletter

Gift Certificates
RSS Feeds
About Us
Contact Us
Terms Of Use
Privacy Policy