Logo

Groups Around Us by Pavel Etingof

Groups Around Us
by

Publisher: Massachusetts Institute of Technology
Number of pages: 25

Description:
These are notes of a mini-course of group theory for high school students that I gave in the Summer of 2009. This mini-course covers the most basic parts of group theory with many examples and applications. The notes contain many exercises, which are necessary for understanding the main text.

Home page url

Download or read it online for free here:
Download link
(250KB, PDF)

Similar books

Book cover: An Elementary Introduction to Group TheoryAn Elementary Introduction to Group Theory
by - AMS
The theory of groups is a branch of mathematics in which we study the concept of binaryoperations. Group theory has many applications in physics and chemistry, and is potentially applicable in any situation characterized by symmetry.
(6863 views)
Book cover: Representation Theory of Compact GroupsRepresentation Theory of Compact Groups
by - Aalto TKK
Contents: Groups (Groups without topology, Group actions and representations); Topological groups (Compact groups, Haar measure, Fourier transforms on compact groups..); Linear Lie groups (Exponential map, Lie groups and Lie algebras); Hopf algebras.
(11017 views)
Book cover: Groupoids and Smarandache GroupoidsGroupoids and Smarandache Groupoids
by - American Research Press
This book by Dr. W. B. Vasantha aims to give a systematic development of the basic non-associative algebraic structures viz. Smarandache groupoids. Smarandache groupoids exhibits simultaneously the properties of a semigroup and a groupoid.
(11125 views)
Book cover: Lie groups and Lie algebrasLie groups and Lie algebras
by - UC Berkeley
From the table of contents: Tangent Lie algebras to Lie groups; Simply Connected Lie Groups; Hopf Algebras; PBW Theorem and Deformations; Lie algebra cohomology; Engel's Theorem and Lie's Theorem; Cartan Criterion, Whitehead and Weyl Theorems; etc.
(12054 views)