دانلود کتاب Tales of Impossibility: The 2000-Year Quest to Solve the Mathematical Problems of Antiquity

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Cover
Contents
Preface
Introduction
CHAPTER 1. The Four Problems
Tangent: Cranks
CHAPTER 2. Proving the Impossible
Tangent: Nine Impossibility Theorems
CHAPTER 3. Compass-and-Straightedge Constructions
Tangent: The Tomahawk
CHAPTER 4. The First Mathematical Crisis
Tangent: Toothpick Constructions
CHAPTER 5. Doubling the Cube
Tangent: Eratosthenes’s Mesolabe
CHAPTER 6. The Early History of π
Tangent: The Great Pyramid
CHAPTER 7. Quadratures
Tangent: Leonardo da Vinci’s Lunes
CHAPTER 8. Archimedes’s Number
Tangent: Computing π at Home
CHAPTER 9. The Heptagon, the Nonagon, and the Other Regular Polygons
Tangent: It Takes Time to Trisect an Angle
CHAPTER 10. Neusis Constructions
Tangent: Crockett Johnson’s Heptagon
CHAPTER 11. Curves
Tangent: Carpenter’s Squares
CHAPTER 12. Getting By with Less
Tangent: Origami
CHAPTER 13. The Dawn of Algebra
Tangent: Nicholas of Cusa
CHAPTER 14. Viète’s Analytic Art
Tangent: Galileo’s Compass
CHAPTER 15. Descartes’s Compass-and-Straightedge Arithmetic
Tangent: Legislating π
CHAPTER 16. Descartes and the Problems of Antiquity
Tangent: Hobbes,Wallis, and the New Algebra
CHAPTER 17. Seventeenth-Century Quadratures of the Circle
Tangent: Digit Hunters
CHAPTER 18. Complex Numbers
Tangent: The τ Revolution
CHAPTER 19. Gauss’s 17-gon
Tangent: Mirrors
CHAPTER 20. Pierre Wantzel
Tangent: What Can We Construct with Other Tools?
CHAPTER 21. Irrational and Transcendental Numbers
Tangent: Top 10 Transcendental Numbers
Epilogue: Sirens or Muses?
Notes
References
Index