# Mathematical Writing - Vivaldi Franco 2014

Some Writing Tips

Essential Dictionary I

Some Advanced Terms - Families of Sets

Essential Dictionary II

Expressions - Levels of Description

Some Advanced Terms - Sets and Sequences

Mathematical Sentences

Quantifiers - Quantifiers and Functions

Describing Functions

Neighbourhoods - Neighbourhoods and Sets

Writing Well

Forms of Argument

Conjunctions - Loops of Implications

Counterexamples and Conjectures

Wrong Arguments - Examples Versus Proofs

Induction

Good Manners with Induction Proofs

Existence and Definitions

Writing a Thesis