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 Evans M. Harrell II
Class notes for an introductory course on dynamical systems and chaos for mathematicians, physicists, and engineers. The text concentrates on models rather than proofs in order to bring out the concepts of dynamics and chaos.
by Gerald Teschl - Universitaet Wien
This book provides an introduction to ordinary differential equations and dynamical systems. We start with some simple examples of explicitly solvable equations. Then we prove the fundamental results concerning the initial value problem.
by Curtis T. McMullen - Princeton University Press
Addressing researchers and graduate students in the active meeting ground of analysis, geometry, and dynamics, this book presents a study of renormalization of quadratic polynomials and a rapid introduction to techniques in complex dynamics.
by J. E. Marsden, M. McCracken - Springer
The goal of these notes is to give a reasonably complete, although not exhaustive, discussion of what is commonly referred to as the Hopf bifurcation with applications to specific problems, including stability calculations.