**Introduction to the Galois Theory of Linear Differential Equations**

by Michael F. Singer

**Publisher**: arXiv 2008**ISBN/ASIN**: 3540442286**Number of pages**: 83

**Description**:

The author's goal was to give the audience an introduction to the algebraic, analytic and algorithmic aspects of the Galois theory of linear differential equations by focusing on some of the main ideas and philosophies and on examples.

Download or read it online for free here:

**Download link**

(650KB, PDF)

## Similar books

**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.

(

**9087**views)

**The Contraction Mapping Principle and Some Applications**

by

**Robert M. Brooks, Klaus Schmitt**-

**American Mathematical Society**

These notes contain various versions of the contraction mapping principle. Several applications to existence theorems in differential and integral equations and variational inequalities are given. Also discussed are Hilbert's projective metric.

(

**9748**views)

**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.

(

**6981**views)

**A Second Course in Elementary Ordinary Differential Equations**

by

**Marcel B. Finan**-

**Arkansas Tech University**

Calculus of Matrix-Valued Functions of a Real Variable; nth Order Linear Differential Equations; General Solution of nth Order Linear Homogeneous Equations; Fundamental Sets and Linear Independence; Higher Order Homogeneous Linear Equations; etc.

(

**12233**views)