Numbers Book

  Preface Chapter 1. Encountering Numbers Chapter 2. Counting with Numbers
    Rudimentary Beginnings; One-to-One Correspondence and Order; The Beginning of Numbers; Patterns and Groups; Finger-Counting;
    Counting by Twos; Counting by Fives; Counting by Twenties; The History of Counting; The Age of our Decimal Counting; Counting with Knots Chapter 3. Writing down Numbers
    Tallies; The Dawn of Numerals; The Development of Numeral Systems; The Evolution of Place-value; Alphabetical Numerals; The Hindu-Arabic Numerals; Fractions; The Derivation of Number-Symbols Chapter 4. Calculating with Numbers
    Addition; Substraction; Multiplication; Division; Checks on Calculation; Ratio and Proportion; Prime Numbers and Factors; The Calculation of Roots; Logarithms; Arithmetic Symbols Chapter 5. Computing with Numbers
    Early Counting Boards; Counting Boards in the Middle Ages; Reckoning on the Lines; The Modern Abacus; The Slide Rule; Calculating Machines; Binary Arithmetic; Computers Chapter 6. Unknown Numbers
    The Linear Unknown; The Square of the Unknown; Higher Powers of the Unknown; More than One Unknown; Indeterminate Unknowns; Symbols for the Unknown Chapter 7. Recreational Numbers
    Think of a Number; Magic Squares; Number Shapes; Numbers with Special Properties Chapter 8. Thinking about Numbers
    Rational and Irrational Numbers; The Real Numbers; The Status of Zero; Complex Numbers; Defining the Natural Numbers; Numbers and Religious Belief Chapter 9. Teaching and Learning Numbers
    Words and Symbols; Elementary Calculation; Algebra; Numbers and Life
  Bibliographical Note; Index