Showing posts with label Applications of Advanced Mathematics to Computer Science. Show all posts
Showing posts with label Applications of Advanced Mathematics to Computer Science. Show all posts

Monday, July 20, 2020

Saturday, July 4, 2020

Algebraic Topology - Computations of Homology Groups

Here are the notes for this section.  We will learn how to compute Homology groups of spaces.  The Homology group serves as a useful way to classify different types of spaces.  There is a great deal of application of Homology groups to graphics as well as data analysis.  Let me know if you have any questions.












Algebraic Topology - Simplicial Complexes and Homology Groups

Here are the notes for this section.  Let me know if you have any questions.











Friday, July 3, 2020

Abstract Algebra - Free Groups

Here are the notes for this section.  We will learn about free groups.  Let me know if you have any questions.







Abstract Algebra - Group Action on a Set

Here are the notes for this section.  We will learn about group actions on a set.  Let me know if you have any questions.





Abstract Algebra - Quotient Groups

Here are the notes for this section.  We will learn about quotient groups.  Let me know if you have any questions.