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Math 20E Spring 2024
Terminology and Theorems
Updated 3/31/24
Note: The following list is a minimal collection of the important terms and theorems for this course. You simply must be familiar with them and how they are used. This basic knowledge is analogous to the vocabulary of a language: it
is impossible to speak the language without it.
- Section 1.1 (review)
- ℕ, the set of positive integers
- Peano Axioms
- mathematical induction
- Section 1.2
- ℚ, the set of rational numbers
- algebraic number
- k divides m
- rational zeros theorem
- monic polynomial
- Section 1.3
- ℝ, the set of real numbers
- associative laws
- commutative laws
- field
- transitive law
- ordered field
- the absolute value of a
- the distance between a and b
- the triangle inequality
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