How mathematics happened : the first 50,000 years / Peter S. Rudman.

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Bibliographic Details
Main Author: Rudman, Peter Strom
Format: Book
Language:English
Published: Amherst, N.Y. : Prometheus Books, 2007.
Subjects:
Online Access:Table of contents only
Table of Contents:
  • List of figures
  • List of tables
  • Preface
  • 1. Introduction
  • 1.1. Mathematical Darwinism
  • 1.2. The replacement concept
  • 1.3. Number systems
  • 2. The birth of arithmetic
  • 2.1. Pattern recognition evolves into counting
  • 2.2. Counting in hunter-gatherer cultures
  • 3. Pebble counting evolves into written numbers
  • 3.1. Herder-farmer and urban cultures in the valley of the Nile
  • 3.2. Herder-farmer and urban cultures by the waters of Babylon
  • 3.3. In the jungles of the Maya
  • 4. Mathematics in the valley of the Nile
  • 4.1. Egyptian multiplication
  • 4.2. Egyptian fractions
  • 4.3. Egyptian algebra
  • 4.4. Pyramidiots
  • 5. Mathematics by the waters of Babylon
  • 5.1. Babylonian multiplication
  • 5.2. Babylonian fractions
  • 5.3. Plimpton 322, the enigma
  • 5.4. Babylonian algebra
  • 5.5. Babylonian calculation of square root of 2
  • 6. Mathematics attains maturity : rigorous proof
  • 6.1. Pythagoras
  • 6.2. Eratosthenes
  • 6.3. Hippasus
  • 7. We learn history to be able to repeat it
  • 7.1. Teaching mathematics in ancient Greece and how we should but do not
  • Appendix : Answers to fun questions
  • Notes and references
  • Index.