Invitation to Dynamical Systems
by Edward R. Scheinerman
Publisher: Prentice Hall College Div 1995
Number of pages: 384
With this unique book, Scheinerman invites readers from a wide range of backgrounds with limited technical prerequisites to explore the beauty and excitement of dynamical systems in particular, and of mathematics in general. The book is designed for readers who want to continue exploring mathematics beyond linear algebra, but are not ready for highly abstract material. Rather than taking a standard mathematical theorem-proof-corollary-remark approach to dynamical systems, it stresses the intuition, ideology, and appreciation that is open to everyone.
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by 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.
by A. A. Martynyuk - Bookboon
The monograph presents a generalization of the well-known Lyapunov function method and related concepts to the matrix function case within the framework of systematic stability analysis of dynamical systems (differential equations).
by Thomas Ward - University of East Anglia
These notes describe several situations in dynamics where the notion of valuations on rings provides a simple language in which to describe and exploit hyperbolicity. This approach goes a little beyond simply providing a convenient language.
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.