
Probability
Category :Probability Theory
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Contents: Probability; AXIOMATIC PROBABILITY; DISCRETE RANDOM VARIABLES; CONTINUOUS RANDOM VARIABLES; INEQUALITIES, LIMIT THEOREMS AND GEOMETRIC PROBABILITY. 
Group theory for Maths, Physics and Chemistry students
Category :Group Theory
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Contents: Introduction; Permutation Groups ; Symmetry Groups in Euclidean Space; Representation Theory; Character Tables; Some compact Lie groups and their representations. 
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 . . . . . 
An introduction to the theory of padic representations
Category :Algebraic Geometry
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The purpose of this informal article is to introduce the reader to some of the objects and methods of the theory of padic representations. 
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 . . . . . 
Calculus Study Guide Components
Category :Calculus
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 Contents: Introduction to Calculus; Derivatives; Applications of the Derivative; The Chain Rule; Integrals; Exponentials and Logarithms; Techniques of Integration; Applications of the Integral; Polar . . . . . 

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 . . . . . 
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 . . . . . 
Games, Fixed Points and Mathematical Economics
Category :Game Theory
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Contents: Games; Brouwer’s Fixed Point Theorem and Nash’s Equilibrium Theorem; More general Equilibrium Theorems; Cooperative Games; Differential Games. 
The Calculus of Functions of Several Variables
Category :Calculus
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Contents: Geometry of Rn; Functions from R to Rn; Functions from Rn to R; Functions from Rm to Rn. 
Lectures on singular stochastic PDEs
Category :Probability Theory
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These are the notes for a course at the 18th Brazilian School of Probability held from August 3rd to 9th, 2014 in Mambucaba. The aim of the course is to introduce the basic problems of nonlinear PD . . . . . 
Elementary Calculus: An Approach Using Infinitesimals
Category :Calculus
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This is a calculus textbook at the college Freshman level based on Abraham Robinson's infinitesimals, which date from 1960. Robinson's modern infinitesimal approach puts the intuitive ideas of the f . . . . . 
Noncommutative Geometry
Category :Algebraic Geometry
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The correspondence between geometric spaces and commutative algebras is a familiar
and basic idea of algebraic geometry. The purpose of this book is to extend this
correspondence to the noncommutati . . . . . 
Modern geometry
Category :Geometry
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Contents: Geometry: Making a Start; Euclidean Parallel Postulate; NonEuclidean Geometries; Transformations; Inversion. 
Calculus Textbook
Category :Calculus
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 Contents: Introduction to Calculus; Derivatives; Applications of the Derivative; The Chain Rule; Integrals; Exponentials and Logarithms; Techniques of Integration; Applications of the Integral; Polar . . . . . 
