**Lie Systems: Theory, Generalisations, and Applications**

by J.F. Carinena, J. de Lucas

**Publisher**: arXiv 2011**Number of pages**: 163

**Description**:

Lie systems form a class of systems of first-order ordinary differential equations whose general solutions can be described in terms of certain finite families of particular solutions and a set of constants, by means of a particular type of mapping: the so-called superposition rule.

Download or read it online for free here:

**Download link**

(1.5MB, PDF)

## Similar books

**Floer Homology, Gauge Theory, and Low Dimensional Topology**

by

**David Ellwood, at al.**-

**American Mathematical Society**

Mathematical gauge theory studies connections on principal bundles. The book provides an introduction to current research, covering material from Heegaard Floer homology, contact geometry, smooth four-manifold topology, and symplectic four-manifolds.

(

**9201**views)

**The Octonions**

by

**John C. Baez**-

**University of California**

The octonions are the largest of the four normed division algebras. The author describes them and their relation to Clifford algebras and spinors, Bott periodicity, projective and Lorentzian geometry, Jordan algebras, and the exceptional Lie groups.

(

**15590**views)

**Random Matrices**

by

**B. Eynard**

This is an introductory course about random matrices. These notes will give the reader a smell of that fascinating tool for physicists and mathematicians that are Random Matrices, and they can give the envy to learn and search more.

(

**7265**views)

**Lecture Notes on Mathematical Methods of Classical Physics**

by

**Vicente Cortes, Alexander S. Haupt**-

**arXiv**

Topics include Lagrangian Mechanics, Hamiltonian Mechanics, Hamilton-Jacobi Theory, Classical Field Theory formulated in the language of jet bundles, field theories such as sigma models, gauge theory, and Einstein's theory of general relativity.

(

**4739**views)