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Incomplete Notes on Fraleigh’s Abstract Algebra
Category :Abstract Algebra  Language: clicks: 6
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  Language: clicks: 23
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  Language: clicks: 23
Contents: The Traffic problem and a first order nonlinear equation; One Dimensional gas dynamics; Two dimensional steady flow.
Homological methods in Non-commutative Geometry
Category :Noncommutative Geometry  Language: clicks: 24
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  Language: clicks: 25
I wrote this book in a "do-it-yourself" 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  Language: clicks: 28
Groups as graphs 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  Language: clicks: 30
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  Language: clicks: 31
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  Language: clicks: 32
This is an Open Access textbook on non-cooperative Game Theory with 165 solved exercises.
Computable integrability
Category :Discrete Mathematics  Language: clicks: 33
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  Language: clicks: 36
Linear Algebra 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  Language: clicks: 36
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  Language: clicks: 37
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  Language: clicks: 41
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  Language: clicks: 43
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 non--linear PD . . . . .


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