
Fields
Category :Quatum Field Theory
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This is a free comprehensive textbook on quantum (and classical) field theory. The approach is pragmatic, rather than traditional or artistic. For more details, including download information and erra . . . . . 
Quick introduction to tensor analysis
Category :Tensor Analysis
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I wrote this book in a "doityourself" style so that I give only a draft of tensor theory, which includes formulating definitions and theorems and giving basic ideas and formulas. All other work such . . . . . 
Analyse Réelle
Category :Analysis
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Table de matiere: Chapitre 1  Espaces de Banach; Chapitre 2  Espaces L^p; Chapitre 3  Analyse hilbertienne; Chapitre 4  Analyse de Fourier. 
The Landscape of Theoretical Physics
Category :Theoretical Physics
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The Landscape of Theoretical Physics: A Global View; From Point Particles to the Brane World and Beyond, in Search of a Unifying Principle.
This a book is for those who would like to learn somethin . . . . . 
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 . . . . . 
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 . . . . . 
Analytic functions
Category :Analysis
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Contents: THEORY OF SETS; FUNCTIONS OF A COMPLEX VARIABLE; HOLOMORPHIC FUNCTIONS; MEROMORPHIC FUNCTIONS; ELEMENTARY GEOMETRICAL METHODS OF THE THEORY OF FUNCTIONS; CONFORMAL TRANSFORMATIONS; ANALYTIC . . . . . 
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 . . . . . 
Rough set data analysis
Category :Set Theory
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 This is not the first book on rough set analysis and certainly not the first book on knowledge discovery algorithms, but it is the first attempt to do this in a noninvasive way. In this book the 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 . . . . . 
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 . . . . . 
Game Theory (Open Access textbook with 165 solved exercises)
Category :Game Theory
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This is an Open Access textbook on noncooperative Game Theory with 165 solved exercises. 
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 . . . . . 
Intro to Abstract Algebra
Category :Abstract Algebra
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Contents: Basic Algebra of Polynomials
(2) Induction and the Wellordering Principle
(3) Sets
(4) Some counting principles
(5) The Integers
(6) Unique factorization into primes
(7) (*) Prime Num . . . . . 
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 . . . . . 