
Mathematical Population Genetics
Category :Applied Mathematics
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These note are intended to give background material in mathemat
ical population genetics and also, in part, to form the background
for some of the material given by other lecturers.Some standard ge . . . . . 
The Elements of Mechanics
Category :Advanced Mechanics
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In my opinion the best book of mechanics I never read. Contents: Phenomenic Reality and models;Qualitative Aspects of OneDimensional Motion; Systems with Many Degrees of Freedom. Theory of the
cons . . . . . 
Numerical Methods in Scientific Computing
Category :Numerical Analysis
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Contents: Principles of Numerical Calculations; How to Obtain and Estimate Accuracy; Series, Operators and Continued Fractions; Interpolation and Related Subjects; Numerical integration; Scalar Nonlin . . . . . 
Probability and Stochastic Processes with Applications
Category :Probability Theory
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Contents: Introduction; Limit Theorems; Discrete stochastic processes; Continuous stochastic processes; Selected topics. 
Introduction to Physics
Category :Mathematical Physics
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Contents: classical mechanics; conservation laws; poisson structures; observables and states; operators in Hilbert space; canonical equations; harmonic oscillator; central potential; The Schroedinger . . . . . 
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 . . . . . 
Around the boundary of complex dynamics
Category :Dynamical Systems
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We introduce the exciting field of complex dynamics at an undergraduate level while reviewing, reinforcing, and extending the ideas learned in an typical first course on complex analysis. Julia sets a . . . . . 
Metric and Topological Spaces
Category :Topology
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The syllabus for the course is defined by the Faculty Board Schedules
(which are minimal for lecturing and maximal for examining). What is presented here
contains some results which it would not, in . . . . . 
Combinatorics and algebra of tensor calculus
Category :Calculus
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In this paper, motivated by the theory of operads and PROPs we reveal the combinatorial nature of tensor calculus for strict tensor categories and show that there exists a monad which is descr . . . . . 
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 . . . . . 
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 . . . . . 
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 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 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 . . . . . 