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
Step-by-Step BS to PhD Math/Physicsby Alex Alaniz - UC Riverside
These are step-by-verifiable-step notes which are designed to help students with a year of calculus based physics who are about to enroll in ordinary differential equations go all the way to doctoral foundations in either mathematics or physics.
(11903 views)
Lectures on Diffusion Problems and Partial Differential Equationsby S.R.S. Varadhan - Tata Institute of Fundamental Research
Starting from Brownian Motion, the lectures quickly got into the areas of Stochastic Differential Equations and Diffusion Theory. The section on Martingales is based on additional lectures given by K. Ramamurthy of the Indian Institute of Science.
(8150 views)
A Window into Zeta and Modular Physicsby Klaus Kirsten, Floyd L. Williams - Cambridge University Press
This book provides an introduction, with applications, to three interconnected mathematical topics: zeta functions in their rich variety; modular forms; vertex operator algebras. Applications of the material to physics are presented.
(8851 views)
Partial Differential Equations of Mathematical Physicsby William W. Symes - Rice University
This course aims to make students aware of the physical origins of the main partial differential equations of classical mathematical physics, including the equations of fluid and solid mechanics, thermodynamics, and classical electrodynamics.
(13865 views)