What is a Field? A Quick Explanation | Episode 3, Linear Algebra

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This is the third video in my Linear Algebra playlist. I explain the axioms that define a Field. I also go through a few examples and proofs.

0:00 Introduction
0:39 The 2 Operations on a Field
1:07 The 5 Axioms a Field Must Satisfy
1:54 Examples and Proofs
2:39 Integers
3:05 Rational Numbers
4:49 Irrational Numbers
5:05 Real Numbers
5:31 Conclusion

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Mod p (p adic) a field? I thought it was, but the addition thing would not be unique unless I missed something

deltalima