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Notes on Differential Equation
Category :Differential Equations  Language: clicks: 15
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  Language: clicks: 32
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  Language: clicks: 34
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  Language: clicks: 44
Groups as graphs 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  Language: clicks: 56
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  Language: clicks: 60
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  Language: clicks: 62
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 . . . . .
Advanced Calculus
Category :Calculus  Language: clicks: 71
Contents: vector spaces; finite-dimensional vector spaces; the differential calculus; compactness and completeness; scalar product spaces; differential equations; multilinear functionals; integration; . . . . .
Introduction to Probability Theory
Category :Probability Theory  Language: clicks: 73
Introduction to Probability Theory 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  Language: clicks: 73
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  Language: clicks: 79
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  Language: clicks: 83
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  Language: clicks: 84
Contents: Kinematics and Conservation; Strain; Ideal Fluids and the Euler Equations; Elastic Fluids and Acoustic Waves; Newtonian Fluids and the Navier-Stokes Equations; Linear Elasticity; Porous Flow . . . . .
A First Course in Linear Algebra
Category :Linear Algebra  Language: clicks: 87
A First Course in Linear Algebra A First Course in Linear Algebra is an introductory textbook aimed at college-level 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  Language: clicks: 88
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 . . . . .

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