Opening more eyes to mathematics: How to get middle school students to love formulas & triangles; Explaining Grothendieck to non-mathematicians; Are mathematical formulas beautiful?; The history of mathematics: Pythagoras's rule; The checkered history of algebra; Multi-culutural math history in five slides; ''Modern'' art/''modern'' math and the Zeitgeist; Interlude: Intelligent design in Orion?; AI, neuroscience, and consciousness: Parse trees are ubiquitous in thinking; Linking deep learning and cortical functions; Does/can human consciousness exist in animals and robots?; And now, some bits of real math: Finding the rhythms of the primes; Spaces of shapes and rogue waves; An applied mathematician's foundations of math; Coming to terms with the quantum: Quantum theory and the mysterious collapse; Path integrals and quantum computing; Nothing is simple in the real world: Wake up!; One world or many?; Spinoza: Euclid, ethics, time; Thoughts on the future; Author's bibliography; Bibliography.
Numbers and the World : Essays on Math and Beyond