Ordinary Differential Equations: A Systems Approach
by Bruce P. Conrad
2010
ISBN/ASIN: 0130460265
Number of pages: 1125
Description:
This is a revision of a text that was on the market for a while. It focuses on systems of differential equations. Some popular topics, which were present in the original text, have been left out to concentrate on what I think a one-semester course should be about: the initial value problem.
Download or read it online for free here:
Download link
(4.6MB, 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.
(9334 views)
Ordinary Differential Equations and Dynamical Systemsby Gerald Teschl - Universitaet Wien
This book provides an introduction to ordinary differential equations and dynamical systems. We start with some simple examples of explicitly solvable equations. Then we prove the fundamental results concerning the initial value problem.
(16459 views)
Differential Equations and Linear Algebraby Simon J.A. Malham - Heriot-Watt University
From the table of contents: Linear second order ODEs; Homogeneous linear ODEs; Non-homogeneous linear ODEs; Laplace transforms; Linear algebraic equations; Matrix Equations; Linear algebraic eigenvalue problems; Systems of differential equations.
(11810 views)
Lectures on Differential Equationsby Craig A. Tracy - University of California
From the table of contents: Pendulum and MatLab; First Order Equations; Second Order Linear Equations; Difference Equations; Matrix Differential Equations; Weighted String; Quantum Harmonic Oscillator; Laplace Transform, etc.
(11278 views)