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Higher-Dimensional Categories: an illustrated guide book
Category :Category Theory  Language: clicks: 9 This informal guide grew out of notes that we made when I was teaching Aaron about n-categories recently, in preparation for the IMA workshop on n-categories in June 2004. We made this available in a . . . . .
Introduction to Chaos
Category :Chaos Theory  Language: clicks: 13
Contents: 1. Lorenz Model: an introduction to chaos; 2. The Pendulum: the language of dynamical systems; 3. Nonlinear Oscillators: quasiperiodicity and frequency locking; 4. One Dimensional Maps; 5. T . . . . .
Predicative Arithmetic
Category :Arithmetic  Language: clicks: 13
Predicative Arithmetic.
Reversible Markov Chains and Random Walks on Graphs
Category :Graph Theory  Language: clicks: 13
Contents: Introduction; General Markov Chains; Reversible Markov Chains; Hitting and Convergence Time, and Flow Rate, Parameters for Reversible Markov Chains; coupling theory and examples; Special Gra . . . . .
Dynamical Systems
Category :Dynamical Systems  Language: clicks: 13 Contents: Physical aspects of dynamical systems; Variational principles and applications; Formal aspects of dynamics; Stability of periodic motions; Existence of periodic motions; Application of P . . . . .
COURSE OF ANALYTICAL GEOMETRY
Category :Geometry  Language: clicks: 13
The elementary geometry, which is learned in school, deals with basic concepts such as a point, a straight line, a segment. They are used to compose more complicated concepts: a polygo- nal line, a . . . . .
Lectures on Differential Geometry
Category :Differential Geometry  Language: clicks: 15 Contents:Chapter 1. Manifolds 1.1 Review of calculus 1.2 Manifolds:definitions and examples 1.3 Vectors and differentials 1.4 Submanifolds 1.5 Riemann metrics Chapter 2. Tensor Calcu . . . . .
Games, Fixed Points and Mathematical Economics
Category :Game Theory  Language: clicks: 15
Contents: Games; Brouwers Fixed Point Theorem and Nashs Equilibrium Theorem; More general Equilibrium Theorems; Cooperative Games; Differential Games.
Ordinary Differential Equations and Dynamical Systems
Category :Differential Equations  Language: clicks: 16
This manuscript 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 re . . . . .
An Introduction to Quantum Game Theory
Category :Game Theory  Language: clicks: 18
This essay gives a self-contained introduction to quantum game theory, and is primarily oriented to economists with little or no acquaintance with quantum mechanics. It assumes little more than a basi . . . . .
Dynamical systems
Category :Dynamical Systems  Language: clicks: 18
Contents: Iterations and ﬁxed points; Bifurcations; Conjugacy; Space and time averages; The contraction ﬁxed point theorem; Hutchinsons theorem and fractal images; Hyperbolicity; Sy . . . . .
Homeomorphisms in Analysis
Category :Analysis  Language: clicks: 18 Contents: The One Dimensional Case; Subsets of R; Baire Class 1; Differentiability Classes; The Derivative Function; Mappings and Measures on R^n; Bi-Lipschitzian Homeomorphisms; Approximation by Ho . . . . .
Electronic Statistics Textbook
Category :Probability and Statistics  Language: clicks: 18
This Electronic Statistics Textbook offers training in the understanding and application of statistics. The material was developed at the StatSoft R&D department based on many years of teaching underg . . . . .
Gödel's Theorem and Theories of Arithmetic
Category :Arithmetic  Language: clicks: 20
I am working on what I hope will become another (big) book for C.U.P., on arithmetic and Gödel's incompleteness theorems. The early parts of the book will be a relaxed exposition of Gödel's theorems; . . . . .
Elementary Number Theory
Category :Number Theory  Language: clicks: 20 This is a textbook about prime numbers, congruences, basic public-key cryptography, quadratic reciprocity, continued fractions, elliptic curves, and number theory algorithms. We assume the reader has . . . . .

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