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How mathematics happened :
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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:
Mathematics, Ancient.
Mathematics, Babylonian.
Mathematics
>
Egypt
>
History.
Metrology
>
Egypt
>
History.
Online Access:
Table of contents only
Holdings
Description
Table of Contents
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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.
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