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
Linearization via the Lie Derivativeby 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.
(9191 views)
Differential Equations with YouTube Examplesby 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.
(7085 views)
A Friendly Introduction to Differential Equationsby 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.
(11455 views)
A First Course in Ordinary Differential Equationsby Norbert Euler - Bookboon
The book consists of lecture notes intended for engineering and science students who are reading a first course in ordinary differential equations and who have already read a course on linear algebra, general vector spaces and integral calculus.
(7513 views)