Numbers and Sets

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Author(s): A. G. Thomason, ed. Dexter Chua
Series: Cambridge Mathematical Tripos Part IA Lecture Notes
Publisher: University of Cambridge
Year: 2014

Language: English
City: Cambridge
Tags: maths; mathematics; math; advanced; college; university; higher; further; pure; applied; set theory; number theory

Introduction
Proofs and logic
Proofs
Examples of proofs
Logic
Sets, functions and relations
Sets
Functions
Relations
Division
Euclid's Algorithm
Primes
Counting and integers
Basic counting
Combinations
Well-ordering and induction
Modular arithmetic
Modular arithmetic
Multiple moduli
Prime moduli
Public-key (asymmetric) cryptography
Real numbers
Construction of numbers
Sequences
Series
Irrational numbers
Euler's number
Algebraic numbers
Countability