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Tentative table of contents:

Introduction

Chapter 1 – How to Prove It

Chapter 2 – Logic and Set Theory

Chapter 3 – Real Numbers

Chapter 4 – Complex Numbers

Chapter 5 – Polynomials

Chapter 6 – Matrix Algebra

Chapter 7 – Derivatives

Chapter 8 – Iterated Function Systems

Chapter 9 – Analytic Functions

Chapter 10 – Möbius Transforms

Chapter 11 – Basic Number Theory

Chapter 12 – Groups

Chapter 13 – Elliptic Curves

Appendix A – Table of Notation

@JordiGH "Prove it, bitch" doesn't warrant consideration? /s

But in all seriousness, for consistency with the rest of your chapters, just something like "Proofs" or "Proving it", would probably work :)

@ColinTheMathmo @j Ehhhhhh, I really want the Pólya reference. Maybe, "How to Maths It".

@JordiGH ... i would read this book!

@robey Oh cool! I hope it finds an audience.

/ˈɔɪklɪd/@j@mathstodon.xyz@JordiGH Like the topics. One word of advice is "how to prove it" as a chapter title might be troublesome, given:

https://www.cambridge.org/core/books/how-to-prove-it/6D2965D625C6836CD4A785A2C843B3DA