Definitions, Solved and Unsolved Problems, Conjectures, and Theorems in Number Theory and Geometry
by Florentin Smarandache
Publisher: Amer Research Pr 2000
Number of pages: 84
A collection of definitions, questions, and theorems edited by M. L. Perez, such as Smarandache type conjectures, problems, numerical bases, T-numbers, progressions, series, functions, Non-Euclidean geometries, paradoxes (such as Smarandache Sorites Paradox that our visible world is composed by a totality of invisible particles), linguistic tautologies, Smarandache hypothesis that there is no speed barrier in the universe - which has been extended to SRM-theory.
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by Nils Berglund - arXiv
This text is a slightly edited version of lecture notes for a course to undergraduate Mathematics and Physics students. Contents: Examples of Dynamical Systems; Stationary and Periodic Solutions; Local Bifurcations; Introduction to Chaotic Dynamics.
by Alexey Shabat, Elena Kartashova - arXiv
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.
by O. Babelon
An introduction to integrable systems. From the table of contents: Integrable dynamical systems; Solution by analytical methods; Infinite dimensional systems; The Jaynes-Cummings-Gaudin model; The Heisenberg spin chain; Nested Bethe Ansatz.
by 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.