The content in this lesson is mostly self-contained. It does use a bit of notation that was developed in Lesson 2.
Pure Mathematics for Beginners consists of a series of lessons in Logic, Set Theory, Abstract Algebra, Number Theory, Real Analysis, Topology, Complex Analysis, and Linear Algebra.
Lesson 3 from this series introduces a few basic algebraic structures. In this lesson we will learn about binary operations, associativity, commutativity, identity elements, invertible elements. We will also look at examples of semigroups, monoids, and groups.
The content in this lesson is mostly self-contained. It does use a bit of notation that was developed in Lesson 2. Specifically, it will be helpful to understand set-builder notation, the membership relation, and the subset relation.
Who this course is for:
College students taking an introductory course in higher mathematics
Students who want to begin learning theoretical mathematics
Students who want to increase their level of mathematical maturity
Dr. Steve Warner is a mathematician and test prep expert who has been tutoring students in mathematics for standardized tests since 1999. During this time Dr. Warner has used the feedback from thousands of students to develop a unique system that can be used by anyone to drastically improve his or her math score in a very short period of time.