
Incomplete Notes on Fraleigh’s Abstract Algebra
Category :Abstract Algebra
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Contents: A Few Preliminaries; ntroduction to Groups; Homomorphisms and Fact; Advanced Group Theory; Introduction to Rings and Fields; Factor Rings and Ideals; Factorization; Extension Fields. 
Lectures on Elliptic Partial Differential Equations
Category :PDE
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In these lectures we study the boundary value problems associated with elliptic
equation by using essentially L^2 estimates (or abstract analogues of such estimates.
We consider only linear problem, . . . . . 
Lectures on Nonlinear Waves And Shocks
Category :Applied Mathematics
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Contents: The Traffic problem and a first order nonlinear equation;
One Dimensional gas dynamics; Two dimensional steady flow.

Homological methods in Noncommutative Geometry
Category :Noncommutative Geometry
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There were eleven lectures in total. Every lecture is preceeded by a brief abstract. The first
seven deal with the homological part of the story (cyclic homology, its various definitions, vari
ous . . . . . 
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 . . . . . 
Groups as graphs
Category :Graph Theory
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 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 . . . . . 

Topology Lecture Notes
Category :Topology
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Contents: Topological Spaces; Properties of Topological Spaces; Homotopy equivalence; The Fundamental Group; Covering spaces; Classification of surfaces; Simplicial complexes and Homology groups; More . . . . . 
What Is a Good Linear Finite Element?
Category :Finite element method
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Why are elements with tiny angles harmless for interpolation, but deadly for stiffness matrix conditioning? Why are long, thin elements with angles near 180o terrible in isotropic cases but perfectly . . . . . 
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. 
Computable integrability
Category :Discrete Mathematics
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Already in 19th century Euler and Lagrange established a mathematically satisfactory foundation of Newtonian mechanics. Hamilton developed analogous formulation of optics. Jacobi imported Hamilton’s i . . . . . 
Linear Algebra
Category :Linear Algebra
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 Linear Algebra is a text free for downloading, It covers the material of an undergraduate first linear algebra course. You can use it either as a main text, or as a supplement to another text, or for . . . . . 

Probability, Random Processes, and Ergodic Properties
Category :Probability Theory
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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 . . . . . 
A Problem Course in Mathematical Logic
Category :Logic
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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 . . . . . 
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. 
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 . . . . . 