Jay Leno and Abstract Algebra

Abstract Algebra

Algebra

Abstract Algebra: An Outline

Algebra: An Outline

Teaching Computational Abstract Algebra

In the Spring semester of 1990 we undertook the educational experiment of teaching undergraduate mathematics and computer science students some fundamental notions of algebra by using computers. The course was entitled Computational Abstract Algebra and offered at Rensselaer Polytechnic Institute as a cross-listed mathematics and computer science course. Twelve students enrolled in it, five of ...

Notes on Abstract Algebra

1 Functions Definition 1.1. Given sets S and T , suppose there is a subset G ⊆ S × T with the following properties: • If (s1, t1) ∈ G and (s2, t2) ∈ G and s1 = s2 then t1 = t2; • For each s ∈ S, there is an element (s, t) ∈ G. Then for each s ∈ S, there is exactly one element α(s) ∈ T so that (s, α(s)) ∈ G. This defines a function α, with domain S and target T , which can be denoted α : S → T ....

Introduction to Abstract Algebra