
Applied Mathematical Programming
Category :Applied Mathematics
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2
This book is the main text for 15.053 Introduction to Optimization taught at MIT. To make the book available online, most chapters have been retypeset. Chapters 6, 7 and 10 were not, but are still av . . . . . 
Game Theory (Open Access textbook with 165 solved exercises)
Category :Game Theory
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3
This is an Open Access textbook on noncooperative Game Theory with 165 solved exercises. 
generatingfunctionology
Category :Applied Mathematics
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18
 Generating functions, one of the most important tools in enumerative combinatorics, are a bridge between discrete mathematics and continuous analysis. Generating functions have numerous applications i . . . . . 

Algebra
Category : Algebra
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18
Contents: 1 Gleichungen kleinen Grades;
2 Halbgruppen; 3 Gruppen; 4 Normalteiler und Faktorgruppen; 5 Normalreihen; 6 Gruppenoperationen;
7 Permutationsgruppen; 8 Die Konstruktion der ganzen Zahle . . . . . 
A Problem Course in Mathematical Logic
Category :Logic
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23
A Problem Course in Mathematical Logic is intended to serve as the text for an introduction to mathematical logic for undergraduates with some mathematical sophistication. It supplies definitions, sta . . . . . 
Probability, Random Processes, and Ergodic Properties
Category :Probability Theory
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41
This book has been written for several reasons, not all of which are academic. This material was
for many years the ﬁrst half of a book in progress on information and ergodic theory. The inten . . . . . 
An Introduction to the Theory of Numbers
Category :Number Theory
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47
 This book, which presupposes familiarity only with the most elementary concepts of arithmetic (divisibility properties, greatest common divisor, etc.), is an expanded version of a series of lectures f . . . . . 

Foundations of Differentiable Manifolds and Lie Groups
Category :Lie Groups
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Contents: manifolds; tensors and differential forms; Lie groups; integration on manifolds; sheaves, cohomology, and the de Rham Theorem; The Hodge Theorem. 
Les éléments finis: de la théorie à la pratique
Category :Finite element method
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Contents: * Introduction et exemples
* Chapitre 2: Espaces fonctionnels
* Chapitre 3: Théorème de LaxMilgram
* Chapitre 4: Méthode de Ritz
* Chapitre 5: Éléments finis unidimen . . . . . 
Discrete Mathematics for Computer Science
Category :Discrete Mathematics
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51
Contents: Mathematical Reasoning, Proof Principles and Logic; Relations, Functions, Partial Functions; Some Counting Problems; Binomial Coefficients; Partial Orders and Equivalence Relations; Graphs . . . . . 
Evolutionary games on graphs
Category :Game Theory
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53
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 . . . . . 
Information Theory and Statistical Physics  Lecture Notes
Category :Information Theory
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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 . . . . . 
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 . . . . . 
First Year Calculus
Category :Calculus
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Contents: THE NUMBER SYSTEM; FUNCTIONS; INTRODUCTION TO DERIVATIVES; SOME SPECIAL FUNCTIONS; APPLICATIONS OF DERIVATIVES; LIMITS OF FUNCTIONS; CONTINUITY; DIFFERENTIATION; THE DEFINITE INTEGRAL; TECHN . . . . . 
Stochastic Differential Equations
Category :Stochastic differential equation
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This lecture is designed for the persons who want to develop p
rofessional skill in stochastic cal
culus and its application to problems in finance but don’t inv
olve in too much mathematics. As
. . . . . 