**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

**Differential Equations with YouTube Examples**

by

**Jeffrey R. Chasnov**-

**BookBoon**

This book, together with the linked YouTube videos, reviews a first course on differential equations. The purpose is to help students prepare for their exams. Theory is summarized, and the solutions of questions are demonstrated in YouTube videos.

(

**2488**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.

(

**4913**views)

**Integration and Differential Equations**

by

**R.S. Johnson**-

**BookBoon**

Part I introduces the standard techniques of elementary integration and, in some cases, takes the ideas a little further. In Part II, ordinary differential equation are explored, and the solution methods for some standard types are explained.

(

**5531**views)

**A Friendly Introduction to Differential Equations**

by

**Mohammed K A Kaabar**

The book covers: The Laplace Transform, Systems of Homogeneous Linear Differential Equations, First and Higher Orders Differential Equations, Extended Methods of First and Higher Orders Differential Equations, Applications of Differential Equations.

(

**6089**views)