
Notes on Differential Equation
Category :Differential Equations
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These are introductory notes on ordinary and partial differential equations. Assumed
background is calculus and a little physics. Linear algebra is not assumed, and is introduced
here in four of the . . . . . 
Aleatoire: Introduction à la théorie et au calcul des probabilités
Category :Probability Theory
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Table de matière: Introduction; space de probabilité; Espace fini ou dénombrable; Variables aléatoires réelles et Vecteurs aléatoires; Convergences et loi des grands nombres; Fonctions caractéristique . . . . . 
Differential Geometry and Relativity
Category :General Relativity
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Contents: Introduction; Curves; Gauss Curvature; Surfaces in E3; First Fundamental Form; Second Fundamental Form; The Gauss Curvature in Detail; Geodesics; The Curvature Tensor and the Theorema Egregi . . . . . 
Groups as graphs
Category :Graph Theory
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 For the first time, every finite group is represented in the form of a graph in this book. This study is significant because properties of groups can be immediately obtained by looking at the graphs o . . . . . 

Evolutionary games on graphs
Category :Game Theory
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Game theory is one of the key paradigms behind many scientific disciplines from biology to behavioral sciences to economics. In its evolutionary form and especially when the interacting agents are lin . . . . . 
Stochastic Differential Equations: Models and Numerics
Category :Stochastic differential equation
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The goal of this course is to give useful understanding for solving problems formulated by
stochastic differential equations models in science, engineering and mathematical finance.
Typically, these . . . . . 
An Introduction to Quantum Game Theory
Category :Game Theory
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This essay gives a selfcontained 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 . . . . . 
Advanced Calculus
Category :Calculus
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Contents: vector spaces; finitedimensional vector spaces; the differential calculus; compactness and completeness; scalar product spaces; differential equations; multilinear functionals; integration; . . . . . 
Introduction to Probability Theory
Category :Probability Theory
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 This introductory probability book, published by the American Mathematical Society, is available from AMS bookshop. It has, since publication, also been available for download here in pdf format. We . . . . . 

Advanced Linear Algebra lecture notes
Category :Linear Algebra
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Contents: * Table of Contents
* Linear transformations
* Polynomials
* Towards the Jordan and Rational forms
* The Jordan form
o A Simple Jordan Canonical Form Algor . . . . . 
The Matrix Cookbook
Category :Linear Algebra
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These pages are a collection of facts (identities, approximations, inequalities, relations, ...) about matrices and matters relating to them. It is collected in this form for the convenience of anyone . . . . . 
The Minority Game: an introductory guide
Category :Game Theory
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The Minority Game is a simple model for the collective behavior of agents in an idealized situation where they have to compete through adaptation for a finite resource. This review summarizes the stat . . . . . 
Partial Differential Equations of Mathematical Physics
Category :PDE
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Contents: Kinematics and Conservation; Strain; Ideal Fluids and the Euler Equations; Elastic Fluids and Acoustic Waves; Newtonian Fluids and the NavierStokes Equations; Linear Elasticity; Porous Flow . . . . . 
A First Course in Linear Algebra
Category :Linear Algebra
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 A First Course in Linear Algebra is an introductory textbook aimed at collegelevel sophomores and juniors. Typically such a student will have taken calculus, but this is not a prerequisite. The book . . . . . 

Information Theory and Statistical Physics  Lecture Notes
Category :Information Theory
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Abstract: This document consists of lecture notes for a graduate course, which focuses on the relations between Information Theory and Statistical Physics. The course is aimed at EE graduate students . . . . . 