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Chapter Overview
Chapter 1: AudiobookHub Recommendation
Chapter 2: Wherever there’s a sense of distance, geometry is present.
Chapter 3: Geometry invites us to begin with intuition and refine it using logic.
Chapter 4: The idea of the random walk lets us make sense of journeys through space.
Chapter 5: Markov chains appear in many different kinds of spaces.
Chapter 6: Pandemics grow through geometric progressions, with complicating factors.
Chapter 7: Some games have geometric structures that let us foresee their results.
Chapter 8: Machines rely on gradient descent to improve by being less wrong.
Chapter 9: Politicians have used mathematics to secure political advantage.
Chapter 10: Computer-created maps can reveal when gerrymandering has taken place.
Description
Shape (2021) is a love letter to geometry, addressed to those who have – or thought they had – sworn off math forever. Accessible and fascinating, it shows how geometry underpins not just objects in the physical world, but also things like games, pandemics, artificial intelligence, and even American democracy. When we understand geometry, we understand a bit more about almost everything.
Who Should Listen
- Math haters convinced that geometry is boring
- Math lovers interested in how geometry intersects with other subjects
- The perennially curious