Abstract Algebra and Number Theory

Courses Taken:

MATH 4720: Abstract Algebra (Proof Based)

MATH 4330: Number Theory

MATH 4720 is the Capstone and final course for the Mathematics Program at Mizzou. This course is the most comprehensive and most difficult subject I had taken in college.

COURSE DESCRIPTION:

• Divisibiliity, factorization, mean value theorem, prime theory

• Primitive Roots, Reimann zeta function, Diricihlet L Functions

• Congruence

• Properties of Integers, fundamental theorem of arithmetic

• Group Theory

• Ring Theory

• Fields

• Transformations

HOW IT IS USED IN DATA SCIENCE?

• Abstract Algebra and Number Theory have applications in Data Science. Mainly using properties of numbers and transformations. An example of its application is in this link.