Burn Math Class: And Reinvent Mathematics for Yourself (2016)
Act I
1. Ex Nihilo
1.2. How to Invent a Mathematical Concept
2. The Infinite Power of the Infinite Magnifying Glass
2.1. Turning Hard Stuff into Easy Stuff
2.3. Understanding the Magnifying Glass
2.4. Hunting Extremes in the Dark
Interlude 2: How to Get Something from Nothing
3. As If Summoned from the Void
3.2. !scitamehtaM eht gnikcirT
3.3. An Attractive New Character Enters
3.4. Hammers, Patterns, and Hammer Patterns
3.5. A Phase Transition in the Creation Story
Interlude 3: A Backωαrd Look to the Future
Act II
4. On Circles and Giving Up
4.3. Equivalences of Our Ignorances
4.7. Molière Is Dead! Long Live Molière!
4.8. A Tiresome Cacophony of Superfluous Names
4.9. Calculus of the Incalculable
Interlude 4: The Nostalgia Device
5. Aesthetics and the Immovable Object
5.3. The Formal and the Informal
5.4. The Zoology of the MA Species
Act III
6. Two in One
6.2. Field-Testing the Fundamental Hammer
N. New Is Old
N.2. The Notational Minefield of Multivariable Calculus
N.3. Enough Symbol Games! How Can We Picture This?
Interlude N: (Mis)interpreted (Readings) (Re)interpreted
The Infinite Beauty of the Infinite Wilderness
1. The Surprising Unity of the Void
3. Inventing Cannibal Calculus
4. The Pedagogical Mutilation of Infinite-Dimensional Calculus
5. The Infinite Jackpot: Putting Our Ideas to Work for Us