Preface
Notations
How to improve your math skills?
How to use this book effectively?
Number theory basics
Multiples and divisors
Least common multiple (LCM) & greatest common divisor (GCD)
Factorials
Fractionsand rational numbers
Modular arithmetic
Arithmetic sequences
Geometrix sequences
Magic Squares
Basic principle of counting and permutation
Casework
Complementary counting
The principle of overcounting
Combinations
Pascal's identity and Pascal triangle
Binomial theorem
Union and intersection
Logic reasoning
Thinking outside the box
Application of symmetry
The pigeon hole principle
Proof by contradiction
Problem simplification
Induction
Maintained by Annabel Zhou