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Logical Accidents and the Problem of the Inside Corner
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Chapters in this book
- Frontmatter i
- Contents vii
- Introduction xi
- Lockdown Mathematics: A Historical Perspective 1
- Cryptocurrencies: Protocols for Consensus 9
- Logical Accidents and the Problem of the Inside Corner 29
- Cosmatesque Design and Complex Analysis 49
- Nullstellenfont 56
- Hyperbolic Flowers 64
- Embodied Geometry in Early Modern Theatre 77
- Modeling Dynamical Systems for 3D Printing 82
- Scientists Uncover the Universal Geometry of Geology 108
- Bouncing Balls and Quantum Computing 120
- Landmark Computer Science Proof Cascades through Physics and Math 125
- Dark Data 136
- Analysis in an Imperfect World 142
- A Headache-Causing Problem 155
- A Zeroth Power Is Often a Logarithm Yearning to Be Free 163
- The Bicycle Paradox 168
- Tricolor Pyramids 174
- Does Time Really Flow? New Clues Come from a Century-Old Approach to Math 183
- The Role of History in the Study of Mathematics 193
- “All of These Political Questions”: Anticommunism, Racism, and the Origin of the Notices of the American Mathematical Society 201
- Reasoning as a Mathematical Habit of Mind 212
- Knowing and Teaching Elementary Mathematics—How Are We Doing? 225
- Tips for Undergraduate Research Supervisors 232
- “The Infinite Is the Chasm in Which Our Thoughts Are Lost”: Reflections on Sophie Germain’s Essays 243
- Who Owns the Theorem? 255
- A Close Call: How a Near Failure Propelled Me to Succeed 258
- Contributors 263
- Notable Writings 273
- Acknowledgments 283
- Credits 285
Chapters in this book
- Frontmatter i
- Contents vii
- Introduction xi
- Lockdown Mathematics: A Historical Perspective 1
- Cryptocurrencies: Protocols for Consensus 9
- Logical Accidents and the Problem of the Inside Corner 29
- Cosmatesque Design and Complex Analysis 49
- Nullstellenfont 56
- Hyperbolic Flowers 64
- Embodied Geometry in Early Modern Theatre 77
- Modeling Dynamical Systems for 3D Printing 82
- Scientists Uncover the Universal Geometry of Geology 108
- Bouncing Balls and Quantum Computing 120
- Landmark Computer Science Proof Cascades through Physics and Math 125
- Dark Data 136
- Analysis in an Imperfect World 142
- A Headache-Causing Problem 155
- A Zeroth Power Is Often a Logarithm Yearning to Be Free 163
- The Bicycle Paradox 168
- Tricolor Pyramids 174
- Does Time Really Flow? New Clues Come from a Century-Old Approach to Math 183
- The Role of History in the Study of Mathematics 193
- “All of These Political Questions”: Anticommunism, Racism, and the Origin of the Notices of the American Mathematical Society 201
- Reasoning as a Mathematical Habit of Mind 212
- Knowing and Teaching Elementary Mathematics—How Are We Doing? 225
- Tips for Undergraduate Research Supervisors 232
- “The Infinite Is the Chasm in Which Our Thoughts Are Lost”: Reflections on Sophie Germain’s Essays 243
- Who Owns the Theorem? 255
- A Close Call: How a Near Failure Propelled Me to Succeed 258
- Contributors 263
- Notable Writings 273
- Acknowledgments 283
- Credits 285