Updated (March- 2021) : New Video lectures are added.And also more videos will be uploaded soon.
Abstract Algebra | Group Theory | Ring Theory
Dear students,
Algebra is a university level Math topic.
Set theory plays play key role to understand abstract algebra.
In this course, you will find the lessons about
Abstract Algebra : Group Theory, Ring Theory
Abstract algebra introduction,
Abstract algebra examples,
Abstract algebra applications in real life,
It helps to understand Ring Theory, Linear Algebra, Vector Space, Discrete Mathematics.
In this course, we will discuss about
What is set,
What is Binary Operation,
What is Closure property,
What is Associative Property,
What is Identity property,
What is Inverse property,
The definition of group with example,
The definition of sub group with example,
The definition of order of the group and order other element in a group
The definition of commutative Group.
Abstract Algebra: Ring Theory
What is Ring?
What does it mean by Ring with Unity?
What is Commutative Ring?
Definition of Ring with Zero Divisors
What is Division Ring or Skew Field?
What is Field?
***Mathematics in my point of view: "Mathematics/ Math: Math is a simply a language. In School grade/Classes, covered Algebra, Trigonometry, Geometry, and Precalculus.In College, covered Algebra 2,College Algebra, Probability, Statistics, Calculus: Calculus 1,Calculus 2,Calculus 3(Multivariable Calculus like Differential Equations, Engineering Mathematics), And University Math topics are Abstract Algebra, Linear Algebra, Discrete Mathematics, Number Theory, Real Analysis, Complex Analysis, Functional Analysis, Matlab. In Test Prep: SAT, Act, GRE,GMAT,LSAT are with Quantitative Aptitude Section. Application of Math: Engineering, Physics, Science, Computer sciences like in Games development, Programming, Machine learning, Data science".***
These abstract algebra concepts are very important to understand Ring theory, Vector spaces.
Abstract Algebra | Group Theory | Ring Theory
Thank you
Kishore Reddy