Overview
This course on Catastrophe theory aims to introduce learners to the fundamental concepts and applications of the theory. By the end of the course, students will be able to understand the classification theorem of critical points, identify and analyze different types of catastrophes, and apply catastrophe theory in real-world scenarios, specifically in chemistry. The course covers topics such as critical points, unfoldings, and the structure of catastrophes, using visual examples to enhance comprehension. The intended audience for this course includes individuals interested in advanced mathematical theories and their practical applications, particularly in the field of chemistry.
Syllabus
Intro
What is Catastrophe Theory?
Critical Points and the Morse Lemma
Examples of Catastrophes
Classification Theorem of Critical Points
Structure of E
Unfoldings
An Application in Chemistry
References
Taught by
Applied Algebraic Topology Network