**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

**Lectures on Differential Equations**

by

**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.

(

**6307**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.

(

**5113**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.

(

**4641**views)

**Differential Equations**

by

**H. B. Phillips**-

**John Wiley & Sons**

With the formal exercise in solving the usual types of ordinary differential equations it is the object of this text to combine a thorough drill in the solution of problems in which the student sets up and integrates his own differential equation.

(

**8313**views)