4 edition of **Nonlinear ordinary differential equations** found in the catalog.

Nonlinear ordinary differential equations

D. W. Jordan

- 260 Want to read
- 16 Currently reading

Published
**2007**
by New York, Oxford University Press in Oxford [England]
.

Written in English

- Differential equations, Nonlinear.

**Edition Notes**

Includes bibliographical references (p. [521]-523) and index.

Statement | D.W. Jordan and P. Smith. |

Contributions | Smith, Peter, 1935- |

Classifications | |
---|---|

LC Classifications | QA372 .J58 2007 |

The Physical Object | |

Pagination | viii, 531 p. : |

Number of Pages | 531 |

ID Numbers | |

Open Library | OL19520757M |

ISBN 10 | 9780199208241, 9780199208258 |

LC Control Number | 2008270742 |

See also List of nonlinear partial differential equations. ^ Davis, Harold Thayer. Introduction to nonlinear differential and integral equations. Courier Corporation, The book discusses the solutions to nonlinear ordinary differential equations (ODEs) using analytical and numerical approximation methods. Recently, analytical approximation methods have been largely used in solving linear and nonlinear lower-order ODEs. It also discusses using these methods to solve some strong nonlinear ODEs.

Ordinary differential equations have long been an important area of study because of their wide application in physics, engineering, biology, chemistry, ecology, and economics. 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. A diﬀerential equation, shortly DE, is a relationship between a ﬁnite set of functions and its derivatives. Depending upon the domain of the functions involved we have ordinary diﬀer-ential equations, or shortly ODE, when only one variable appears (as in equations ()-()) or partial diﬀerential equations, shortly PDE, (as in ()).File Size: 1MB.

Nonlinear Ordinary Differential Equations helps develop an understanding of the subtle and sometimes unexpected properties of nonlinear systems and simultaneously introduces practical analytical techniques to analyze nonlinear phenomena. This excellent book gives a structured, systematic, and rigorous development of the basic theory from Cited by: The coverage is broad, ranging from basic second-order ODEs and PDEs, through to techniques for nonlinear differential equations, chaos, asymptotics and control theory. This broad coverage, the authors' clear presentation and the fact that the book has been thoroughly class-tested will increase its attraction to undergraduates at each stage of Cited by:

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I heartily recommend the two books to anyone faced with the need to solve nonlinear ordinary differential equations using techniques (for example, averaging methods, perturbation methods, Fourier expansion methods, liapunov methods, chaos, etc.# that lie beyond those studied in college for solving linear differential ear Ordinary Differential Equations: An Introduction for Scientists and Engineers #Oxford Texts in Applied and Engineering Mathematics# Nonlinear Ordinary Cited by: The book discusses the solutions to nonlinear ordinary differential equations (ODEs) using analytical and numerical approximation methods.

Recently, analytical approximation methods have been largely used in solving linear and nonlinear lower-order ODEs. It also discusses using these methods to solve some strong nonlinear by: 7. Nonlinear Ordinary Differential Equations helps develop an understanding of the subtle and sometimes unexpected properties of nonlinear systems and simultaneously introduces practical analytical techniques to analyze nonlinear phenomena.

This excellent book gives a structured, systematic, and rigorous development of the basic theory from elementary concepts to a point where readers can utilize ideas in nonlinear differential by: Nonlinear Ordinary Differential Equations: Problems and Solutions: A Sourcebook for Scientists and Engineers (Oxford Texts in Applied and Engineering Mathematics) Find all the books, read about the author, and by: Nonlinear Ordinary Differential Equations: An Introduction for Scientists and Engineers (Oxford Texts in Applied and Engineering Mathematics Book 10) - Kindle edition by Jordan, Dominic, Smith, Peter.

Download it once and read it on your Kindle device, PC, phones or tablets/5(19). The book does not shy away from progressive exposure of involved topics such as finding solutions to non-linear ordinary differential equations via orthonormal eigenfuction based methods (up to 3 by 3) including airflows.

Then ends with much discussion with Time-Optimal Control and Cited by: Nonlinear Ordinary Differential Equations helps develop an understanding of the subtle and sometimes unexpected properties of nonlinear systems and simultaneously introduces practical analytical techniques to analyze nonlinear phenomena.

This excellent book gives a structured, systematic, and rigorous development of the basic theory from elementary concepts to a point where readers can utilize ideas in nonlinear differential s: 1. Nonlinear Ordinary Differential Equations book.

Read reviews from world’s largest community for readers. This new edition has been expanded to include ar /5(5). Nonlinear ordinary differential equations | Grimshaw, R. | download | B–OK. Download books for free. Find books. The book developed from courses on nonlinear differential equations given over many years in the Mathematics Department of Keele University.

It presents an introduction to dynamical systems in the context of ordinary differential equations, and is intended for students of mathe-File Size: 6MB.

This is a thoroughly updated and expanded 4th edition of the classic text Nonlinear Ordinary Differential Equations by Dominic Jordan and Peter Smith. Including numerous worked examples and diagrams, further exercises have been incorporated into the text and answers are provided at the back of the book.

I heartily recommend the two books to anyone faced with the need to solve nonlinear ordinary differential equations using techniques (for example, averaging methods, perturbation methods, Fourier expansion methods, liapunov methods, chaos, etc.# that lie beyond those studied in college for solving linear differential equations/5(16).

Definitely the best intro book on ODEs that I've read is Ordinary Differential Equations by Tenebaum and Pollard. Dover books has a reprint of the book for maybe dollars on Amazon, and considering it has answers to most of the problems found in the book, it's perfect for self study.

Buy Nonlinear Ordinary Differential Equations: An Introduction for Scientists and Engineers (Oxford Texts in Applied and Engineering Mathematics) 4 by Jordan, Dominic, Smith, Peter (ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on /5(19). This elementary text-book on Ordinary Differential Equations, is an attempt to present as much of the subject as is necessary for the beginner in Differential Equations, or, perhaps, for the student of Technology who will not make a specialty of pure Mathematics.

An ordinary differential equation (ode) is a differential equation for a function of a single variable, e.g., x(t), while a partial dif- ferential equation (pde) is a differential equation for a function of several variables, e.g., v(x,y,z,t).

An ode contains ordinary derivatives and a pde contains partial derivatives. - Buy Nonlinear Ordinary Differential Equations book online at best prices in India on Read Nonlinear Ordinary Differential Equations book reviews & author details and more at Free delivery on qualified s: Nonlinear Ordinary Differential Equations helps develop an understanding of the subtle and sometimes unexpected properties of nonlinear systems and simultaneously introduces practical analytical techniques to analyze nonlinear phenomena.

This excellent book gives a structured, systematic, and rigorous development of the basic theory from. I personally like Jack Hale's book titled "Ordinary Differential Equations".

I am a 3rd year graduate student studying Hamiltonian systems and have needed to review/learn topics in ODE's from time to time, and Hale's book has stood out as the most valuable resource for me.

Ordinary differential equations have long been an important area of study because of their wide application in physics, engineering, biology, chemistry, ecology, and economics. Based on a series of lectures given at the Universities of Melbourne and New South Wales in Australia, Nonlinear Ordinary D.

About the Book. This book consists of ten weeks of material given as a course on ordinary differential equations (ODEs) for second year mathematics majors at the University of Bristol.

It is the first course devoted solely to differential equations that these students will take. This book consists of 10 chapters, and the course is 12 weeks long/5(1).Ordinary differential equations have long been an important area of study because of their wide application in physics, engineering, biology, chemistry, ecology, and economics.

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 Reviews: 1.The author has recognised and tried to bridge the gap which exists between standard elementary courses on differential equations and advanced graduate courses on dynamical systems and chaotic motion.