A First Course in Abstract Algebra: Group Theory,Ring Theory

Modern Algebra for Group Theory, Linear Algebra, Discrete Mathematics, Cryptography, Complex Analysis, Topology Students

2.85 (43 reviews)
Udemy
platform
English
language
Math
category
1,641
students
6 hours
content
Dec 2023
last update
$54.99
regular price

What you will learn

[ Updated ( December - 2023) with new Video lectures ] Abstract Algebra - Group Theory and Ring Theory

Group theory with all types of groups, including Sub group, Commutative group, Cyclic Group, Permutation group

Ring theory with Zero Divisors, Commutative Ring, Ring with Zero Divisors, Division Ring or Skew Field, Field

What is Closure Property?

What is Associative Property?

What is Identity Property?

What is Inverse Property?

What is Commutative Property?

Function Definition,Domain, Co-domain and Range of function

Definition of group: When Set is called as Group?

Definition of Order of the group

What is Subgroup?

What does it mean by Commutative group?

All Theorems Statements on Cyclic Group

All Theorems Statements on Abilean Group

Fundamental theorem of Homomorphism

Quick revision by downloading Handwritten notes and Flash cards

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?

Ring Theory : What is Field?

Description

Conquer Abstract Algebra: Master Groups & Rings with This Comprehensive Guide


  • Stay ahead of the curve: New video lectures added in December  - 2023, with more on the way!



  • Unlock the power of Abstract Algebra with this in-depth course, designed for mastery! Dive deep into Group & Ring Theory, conquering complex concepts like binary operations, subgroups, and homomorphisms with crystal-clear explanations and engaging video lectures.

Struggling with Abstract Algebra? Feel overwhelmed by Group Theory? Aiming to ace your exams? This course is your ultimate weapon.

Here's why you'll love it:

  • Master the fundamentals: Demystify key Group Theory concepts like subgroups, order, homomorphisms, and more. Grasp the intricacies of Ring Theory, mastering rings, fields, and division rings.

  • Learn at your own pace: Lifetime access allows you to progress comfortably, revisiting lectures and practicing at your convenience.

  • Interactive learning: Quizzes and downloadable resources boost your understanding and provide valuable self-assessment tools.


  • Unleash the power of mathematics: This course isn't just about formulas; it's about unlocking the language of mathematics, opening doors to advanced topics like Linear Algebra, Discrete Mathematics, and beyond.

  • Real-world applications: Apply your knowledge in diverse fields like engineering, physics, and computer science. Abstract Algebra isn't just theoretical; it's powerful and practical.

  • Udemy learning advantage: Gain the edge with lifetime access to course updates, fast and friendly support, and a prestigious Udemy Certificate of Completion to showcase your achievement.

Don't wait to conquer Abstract Algebra! Enroll today and transform your understanding of this fascinating branch of mathematics.

Bonus: Download a free Abstract Algebra PDF book to enhance your learning journey!

Instructor: Kishore Reddy, your dedicated guide to mastering Abstract Algebra.

Content

How to understand Group Theory?

What is Set?
Operations
Basic Properties of Number System
Group is a set with some properties
Set as Group
Handwritten short notes part 1

Properties with Short Notes (Handwritten)

What is Binary Operation?
Algebraic Structure of a Set
Closure Property
How to understand Closure Property in Group Theory?
Associative Property
How to understand Associative Property in Group Theory?
Flash Card on Identity Property
Identity Property
How to explain Identity Property in detail?
What is Monoid?
Inverse Property
How to explain Inverse Property in detail?
Flash Card on Inverse Property
Commutative Property

What is Group,Sub Group and Order of the Group?

What is Semi Group?
The definition of a group
How to explain Group in detail?
Is (Z, +) Group or Not?
Examples of Group
More examples of Group
Sub Group
Order of the group
Order of the element in a group
How to find Order of an element of Group?
Problem 2:How to find Order of an element?

What is Permutation Group?

How to define Permutation Group?
Solved Problem on How to find Product of two Permutations?

Cyclic Group and Abilean Group:Important Theorems and Statements

What is Cyclic Group and Generator of Cyclic Group?
Solved Problem on finding Generator of Cyclic Group
How to find the Generator of a Cyclic group?
1.Important Statements
Abstract Algebra Group Theory:All Theorems(Statements)

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?
Ring Theory:What is Field?

Screenshots

A First Course in Abstract Algebra: Group Theory,Ring Theory - Screenshot_01A First Course in Abstract Algebra: Group Theory,Ring Theory - Screenshot_02A First Course in Abstract Algebra: Group Theory,Ring Theory - Screenshot_03A First Course in Abstract Algebra: Group Theory,Ring Theory - Screenshot_04

Reviews

T
March 6, 2022
This Abstract algebraic course explained from scratch. It's helpful to all math students who want to learn Abstract algebra.
Shahzad
December 30, 2021
Very lucid and amazing explanation of each and every topic, surely help you in understanding broader concepts of cryptography and coding theory.
Rafat
October 29, 2021
It is very short and doesn't have detail. It is also very vague about things. (Talks about roots of unity but doesn't explain what it is)
Rajap
August 2, 2021
This Abstract Algebra course is really good.The instructor has excellent knowledge on Mathematics. This Abstract Algebra course is explained from basics to advance. The lectures are covered in this Abstract Algebra course from Group Theory to Ring Theory. I would like to recommend this course those who want to learn Abstract Algebra.Because, he is one of the best Maths instructor.
Sai
December 14, 2019
Super its very usefull my further studies thank you sir for giving a valuble information please upload new courses.
Iveno
August 6, 2019
I cannot hear anything, and the pace of the instructor's talking at is quite slow, I had to speed it up to 1.5.

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2116280
udemy ID
12/30/2018
course created date
6/1/2019
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