sets.ipynb

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A certain amount of mathematical maturity is necessary to find and study applications of abstract algebra. A basic knowledge of set theory, mathematical induction, equivalence relations, and matrices is a must. Even more important is the ability to read and understand mathematical proofs. In this chapter we will outline the background needed for a course in abstract algebra.

1.1A Short Note on Proofs

1.2Sets and Equivalence Relations

1.3Exercises

1.4References and Suggested Readings

1.5Sage

1.6Sage Exercises