Then there is a (possibly smaller) rectangle containing \((x_0,y_0)\) such that there is a unique solution \(f(x)\) that satisfies it. After viewing product detail pages, look here to find an easy way to navigate back to pages you are interested in. This was not the text used in the course I took but I found it extremely helpful. Please try again. Reviewed in the United Kingdom on July 3, 2018. Based on a series of lectures given at the Universities of Melbourne and New South Wales in Australia, Nonlinear Ordinary Differential Equations takes the reader from basic elementary notions to the point where the exciting and fascinating developments in the theory of nonlinear differential equations can be understood and appreciated. I still have the original copy I used back then in my library. Over 500 end-of-chapter problems are also included and as an additional resource fully-worked solutions to these are provided in the accompanying text Nonlinear Ordinary Differential Equations: Problems and Solutions, (OUP, 2007).

From what I have seen so far I can confirm that this seems to be a major issue.It is also a weakness that the answers to the exercises are rather minimal...but at least there are some so that is a plus. Bring your club to Amazon Book Clubs, start a new book club and invite your friends to join, or find a club that’s right for you for free.

I needed an elementary book on perturbation theory and eventually I found it at amazon.co.uk. In order to navigate out of this carousel please use your heading shortcut key to navigate to the next or previous heading. In order to navigate out of this carousel please use your heading shortcut key to navigate to the next or previous heading. This shopping feature will continue to load items when the Enter key is pressed. General solutions of nonlinear differential equations are rarely obtainable, though particular solutions can be calculated one at a time by standard numerical techniques.

Bring your club to Amazon Book Clubs, start a new book club and invite your friends to join, or find a club that’s right for you for free. Reviewed in the United States on April 28, 2009. Seems like a well explained book so far though I have noted several typos already in less than 20 pages!! Something went wrong.

On the first page of chapter one, for example, "representation" is spelled "representaion", with only one 't'. Their work even helped me to visualize and interpret my results.

The ordinary differential equation is further classified into three types. Consequently, it is …

equation. I feel fortunate that I found their work and have successfully solved my equations following their advice.

Non-linear ordinary differential equations are stiff and can be solved numerically, but numerical solutions do not provide physical parametric insight.

Please try again.

Avoid this book if you can. 1 x 2 d d x ( x 2 d y d x ) + ( y 2 − c ) 3 / 2 = 0. Moreover, the examples have not been very instructive for me. Unable to add item to List.

Together, Jordan and Smith's textbook and sourcbook provide a wealth of practical information for solving non-linear equations along with lots of good examples. There's a problem loading this menu right now. Please try again. Nonlinear Ordinary Differential Equations (Applied Mathematics and Engineering Science Texts) (v. 2). Both texts cover a wide variety of applications while keeping mathematical prequisites to a minimum making these an ideal resource for students and lecturers in engineering, mathematics and the sciences.

Linear ODE 3.

Enter your mobile number or email address below and we'll send you a link to download the free Kindle App. It will earn a place in my shelf of references.

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Reviewed in the United Kingdom on August 23, 2013. I have to concur with other reviewers -- although this book contains interesting material which is not found in other texts, it is stuffed full of errors.

Oxford University Press; 4th edition (October 11, 2007), Reviewed in the United States on August 17, 2019.

You're listening to a sample of the Audible audio edition. We work hard to protect your security and privacy. Prime members enjoy FREE Delivery and exclusive access to music, movies, TV shows, original audio series, and Kindle books. These items are shipped from and sold by different sellers. After viewing product detail pages, look here to find an easy way to navigate back to pages you are interested in.

See also List of nonlinear partial differential equations. Find all the books, read about the author, and more.

Davis, Harold Thayer.

Please try again. Let \[ y' = f(x,y) \;\;\; \text{and} \;\;\; y(x_0) = y_0 \] be a differential equation such that both partial derivatives \[f_x \;\;\; \text{and} \;\;\; f_y\] are continuous in some rectangle containing \((x_0,y_0)\). Non-linear ordinary differential equations are stiff and can be solved numerically, but numerical solutions do not provide physical parametric insight. Reviewed in the United States on September 13, 2014, Seller was great - just don't love the actual book, Excellent Guide on Ordinary Differential Equations, Reviewed in the United States on June 3, 2015.

Ordinary differential equations have long been an important area of study because of their wide application in physics, engineering, biology, chemistry, ecology, and economics. Examples of nonlinear differential equations are the Navier–Stokes equations in fluid dynamics and the Lotka–Volterra equations in biology. Chandrasekhar's white dwarf equation. The problems are loosely related to the examples, but there is enough of a disconnect between the two so that I have trouble doing the homework assignments. I am taking a Nonlinear Dynamics course in grad school and this is the text book.

They are: 1. It is a great book that I will keep around. Reviewed in the United States on March 21, 2010. If you have to use it, make sure you have someone to help when things get 'confused.'.

Before analyzing the solutions to the nonlinear population model, let us make a pre-liminary change of variables, and set u(t) = N(t)/N⋆, so that u represents the size of the population in proportion to the carrying capacity N⋆. To calculate the overall star rating and percentage breakdown by star, we don’t use a simple average.

It contains over 500 problems ranging from understanding the basic concepts to generalization of theory.

Courier Corporation, 1962. {\displaystyle {\frac {1} {\xi ^ {2}}} {\frac {d} {d\xi }}\left (\xi ^ {2} {\frac {d\psi } {d\xi }}\right)=e^ {-\psi }} Astrophysics.



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