
Linear Matrix Inequalities in System and Control Theory
Category :Control Theory
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14
 In this book the authors reduce a wide variety of problems arising in system and control theory to a handful of convex and quasiconvex optimization problems that involve linear matrix inequalities. Th . . . . . 

Aleatoire: Introduction à la théorie et au calcul des probabilités
Category :Probability Theory
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24
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 . . . . . 
Game Theory (Open Access textbook with 165 solved exercises)
Category :Game Theory
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39
This is an Open Access textbook on noncooperative Game Theory with 165 solved exercises. 
Calculus: A modern, rigorous approach
Category :Calculus
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Contents: Basics; Limits and Continuous Functions; Differentiation; Applications of Differentiation; Riemann Integration. Techniques of Integration; Improper Integrals; Series of Real Numbers; Series . . . . . 
Groups as graphs
Category :Graph Theory
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85
 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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88
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 . . . . . 
Notes on Differential Equation
Category :Differential Equations
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95
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 . . . . . 
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 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 . . . . . 
Differential Geometry and Relativity
Category :General Relativity
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104
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 . . . . . 
The Matrix Cookbook
Category :Linear Algebra
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119
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 . . . . . 
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 . . . . . 

Advanced Calculus
Category :Calculus
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124
Contents: vector spaces; finitedimensional vector spaces; the differential calculus; compactness and completeness; scalar product spaces; differential equations; multilinear functionals; integration; . . . . . 
Games, Fixed Points and Mathematical Economics
Category :Game Theory
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129
Contents: Games; Brouwer’s Fixed Point Theorem and Nash’s Equilibrium Theorem; More general Equilibrium Theorems; Cooperative Games; Differential Games. 
The Minority Game: an introductory guide
Category :Game Theory
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131
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 . . . . . 