**Ordinary Differential Equations**

by Stephen Wiggins

**Publisher**: University of Bristol 2017**Number of pages**: 146

**Description**:

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. Rather than seeking to find specific solutions of ODEs, we seek to understand how all possible solutions are related in their behavior in the geometrical setting of phase space. In other words, this course has been designed to be a beginning course in ODEs from the dynamical systems point of view.

Download or read it online for free here:

**Download link**

(1.2MB, PDF)

## Similar books

**Ordinary Differential Equations**

by

**Dmitry Panchenko**-

**University of Toronto**

Contents: First order differential equations; Existence and uniqueness of solutions for first order differential equations; Systems of first order equations and higher order linear equations; Solving higher order linear differential equations; etc.

(

**6676**views)

**Elementary Differential Equations**

by

**William F. Trench**-

**Brooks Cole**

This text has been written in clear and accurate language that students can read and comprehend. The author has minimized the number of explicitly state theorems and definitions, in favor of dealing with concepts in a more conversational manner.

(

**8930**views)

**Linearization via the Lie Derivative**

by

**Carmen Chicone, Richard Swanson**-

**American Mathematical Society**

The proof of the Grobman-Hartman linearization theorem for a flow at a hyperbolic rest point proceeds by establishing the analogous result for hyperbolic fixed points of local diffeomorphisms. We present a proof that avoids the discrete case.

(

**9537**views)

**Second-order Ordinary Differential Equations**

by

**R.S. Johnson**-

**Bookboon**

This text provides an introduction to all the relevant material normally encountered at university level: series solution, special functions, Sturm-Liouville theory and the definition, properties and use of various integral transforms.

(

**10056**views)