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Chapters in this book
- Frontmatter i
- Contents vii
- Preface xiii
- Prologue. Why I Might Never Have Written This Book xx
- Chapter One. The Confluence of Nature and Mathematical Modeling 1
- Chapter Two. Estimation: The Power of Arithmetic in Solving Fermi Problems 17
- Chapter Three. Shape, Size, and Similarity: The Problem of Scale 31
- Chapter Four. Meteorological Optics I: Shadows, Crepuscular Rays, And Related Optical Phenomena 57
- Chapter Five. Meteorological Optics II: A “Calculus I” Approach to Rainbows, Halos, and Glories 80
- Chapter Six. Clouds, Sand Dunes, and Hurricanes 118
- Chapter Seven. (Linear) Waves of All Kinds 139
- Chapter Eight. Stability 173
- Chapter Nine. Bores and Nonlinear Waves 194
- Chapter Ten. The Fibonacci Sequence and the Golden Ratio (τ) 213
- Chapter Eleven. Bees, Honeycombs, Bubbles, and Mud Cracks 231
- Chapter Twelve. River Meanders, Branching Patterns, and Trees 254
- Chapter Thirteen. Bird Flight 295
- Chapter Fourteen. How Did the Leopard Get Its Spots? 309
- Appendix Fractals: An Appetite Whetter. . . 336
- Bibliography 340
- Index 356
Chapters in this book
- Frontmatter i
- Contents vii
- Preface xiii
- Prologue. Why I Might Never Have Written This Book xx
- Chapter One. The Confluence of Nature and Mathematical Modeling 1
- Chapter Two. Estimation: The Power of Arithmetic in Solving Fermi Problems 17
- Chapter Three. Shape, Size, and Similarity: The Problem of Scale 31
- Chapter Four. Meteorological Optics I: Shadows, Crepuscular Rays, And Related Optical Phenomena 57
- Chapter Five. Meteorological Optics II: A “Calculus I” Approach to Rainbows, Halos, and Glories 80
- Chapter Six. Clouds, Sand Dunes, and Hurricanes 118
- Chapter Seven. (Linear) Waves of All Kinds 139
- Chapter Eight. Stability 173
- Chapter Nine. Bores and Nonlinear Waves 194
- Chapter Ten. The Fibonacci Sequence and the Golden Ratio (τ) 213
- Chapter Eleven. Bees, Honeycombs, Bubbles, and Mud Cracks 231
- Chapter Twelve. River Meanders, Branching Patterns, and Trees 254
- Chapter Thirteen. Bird Flight 295
- Chapter Fourteen. How Did the Leopard Get Its Spots? 309
- Appendix Fractals: An Appetite Whetter. . . 336
- Bibliography 340
- Index 356