Math through the Ages

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• Preface

• History in the Mathematics Classroom

• The History of Mathematics in a Large Nutshell
  
  • Beginnings
    
  • Greek Mathematics
    
  • Meanwhile, in India
    
  • Arabic Mathematics
    
  • Medieval Europe
    
  • The 15th and 16th Centuries
    
  • Algebra Comes of Age
    
  • Calculus and Applied Mathematics
    
  • Rigor and Professionalism
    
  • Abstraction, Computers, and New Applications
    
  • Mathematics Today
    
• Sketches
  
  1. Keeping Count: Writing Whole Numbers
     
  2. Reading and Writing Arithmetic: Where the Symbols Came From
     
  3. Nothing Becomes a Number: The Story of Zero
     
  4. Broken Numbers: Writing Fractions
     
  5. Something Less Than Nothing?: Negative Numbers
     
  6. By Tens and Tenths: Metric Measurement
     
  7. Measuring the Circle: The Story of p
     
  8. The Cossic Art: Writing Algebra with Symbols
     
  9. Linear Thinking: Solving First Degree Equations
     
  10. A Square and Things: Quadratic Equations
      
  11. Intrigue in Renaissance Italy: Solving Cubic Equations
      
  12. A Cheerful Fact: The Pythagorean Theorem
      
  13. A Marvelous Proof: Fermat's Last Theorem
      
  14. On Beauty Bare: Euclid's Plane Geometry
      
  15. In Perfect Shape: The Platonic Solids
      
  16. Shapes by the Numbers: Coordinate Geometry
      
  17. Impossible, Imaginary, Useful: Complex Numbers
      
  18. Half Is Better: Sine and Cosine
      
  19. Strange New Worlds: The Non-Euclidean Geometries
      
  20. In the Eye of the Beholder: Projective Geometry
      
  21. What's in a Game?: The Start of Probability Theory
      
  22. Making Sense of Data: Statistics Becomes a Science
      
  23. Machines that Think?: Electronic Computers
      
  24. The Arithmetic of Reasoning: Logic and Boolean Algebra
      
  25. Beyond Counting: Infinity and the Theory of Sets
      

• What to Read Next
  
  • The Reference Shelf
    
  • Fifteen Historical Books You Ought to Read
    
  • Internet and Other Media
    

• Bibliography

• Index