Ch 19: Algebra: Number Theory & Abstract Algebra

By watching the lesson videos in this chapter on number theory and abstract algebra you can reinforce your understanding of divisibility and the Division Algorithm, Fermat's Last Theorem, binary and non-binary operations and other theorems and equations in abstract algebra.

Algebra: Number Theory & Abstract Algebra - Chapter Summary

This chapter can help you review abstract algebraic theorems, operations and functions. The expert instructors of this series of lesson videos will guide you through example problems involving divisibility, the Division Algorithm, Fermat's Last Theorem and abelian groups. This chapter also covers topics of standard sets in abstract algebra and group homomorphisms. After watching the lessons in this chapter you should have a mastery over material on:

• Fundamental ideals of number theory
• Euclidean algorithm and the diophantine equations
• Binary and non-binary structures and operations
• Algebraic subgroups
• Isomorphism and homomorphism
• Finite abelian groups
• Rings

To effectively master the material of this chapter, ask our instructors any questions you may come up with about the lessons. Increase your understanding of the material in these lesson videos by completing quizzes and printing out the lesson worksheets to use as a study aid. With the results of your lesson quizzes, determine your areas of weakness, and then fortify these areas by reviewing key points in the lesson videos via video tags on the timeline. Reading over the lesson transcripts may also prove to be beneficial as they present the material in an alternative written format.

9 Lessons in Chapter 19: Algebra: Number Theory & Abstract Algebra
Test your knowledge with a 30-question chapter practice test
Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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