Computable Integrability
by Alexey Shabat, Elena Kartashova
Publisher: arXiv 2011
Number of pages: 174
Description:
This is a preliminary version of the textbook on integrable systems. Contents: General notions and ideas; Riccati equation; Factorization of linear operators; Commutativity of linear operators; Integrability of non-linear PDEs; Burgers-type equations.
Download or read it online for free here:
Download link
(780KB, PDF)
Similar books
Dynamical Systemsby Shlomo Sternberg - OER Commons
This book addresses the following topics: Iterations and fixed points; bifurcations; conjugacy; space and time averages; the contraction fixed point theorem; Hutchinson's theorem and fractal images; hyperbolicity; and symbolic dynamics.
(11803 views)
Entropy of Compact Group Automorphismsby Thomas Ward - University of East Anglia
These notes cover a very short introduction to measure-theoretic and topological entropy, and are aimed at understanding part of Yuzvinskii's formula for the entropy of compact group automorphisms. Based on a course at the Ohio State University.
(9922 views)
Mathematical Principles of Dynamic Systems and the Foundations of Quantum Physicsby Eric Tesse - arXiv
This article will take up the question of what underlies the quantum formalism, whether it can be derived from simpler mathematical structures, and if so, what physical properties a system must possess in order for the formalism to hold.
(12328 views)
Chaos: Classical and Quantumby Predrag Cvitanovic - ChaosBook.org
This is a graduate textbook on classical and quantum chaos, applicable to problems of physics, chemistry and other sciences. It represents an attempt to formulate the subject as one of the cornerstones of the graduate physics curriculum of future.
(16755 views)