History of Mathematics, Vol. I

by Smith, David E.

• ISBN13: 9780486204291
• ISBN10: 0486204294
• Format: Paperback
• Copyright: 1958-06-01
• Publisher: Dover Publications

Summary

Volume 1 of an unusually clear and readable 2-volume history from Egyptian papyri and medieval maps to modern graphs and diagrams. Non-technical chronological survey with thousands of biographical notes, critical evaluations, contemporary opinions on over 1,100 mathematicians.

Table of Contents

BIBLIOGRAPHY
"PRONUNCIATION, TRANSLITERATION, AND SPELLING OF PROPER NAMES"
I. PREHISTORIC MATHEMATICS
  1. IN THE BEGINNING
  2. PRIMITIVE COUNTING
  3. GEOMETRIC ORNAMENT
  4. MYSTICISM
  TOPICS FOR DISCUSSION
II. THE HISTORIC PERIOD DOWN TO 1000 B.C.
  1. GENERAL VIEW
  2. CHINA
  3. INDIA
  4. BABYLON
  5. EGYPT
  TOPICS FOR DISCUSSION
III. THE PERIOD FROM 1000 B.C. TO 300 B.C.
  1. THE OCCIDENT IN GENERAL
  2. THE GREEKS
  3. ORIGINS OF GREEK MATHEMATICS
  4. FROM PYTHAGORAS TO PLATO
  5. INFLUENCE OF PLATO AND ARISTOTLE
  6. THE ORIENT
  TOPICS FOR DISCUSSION
IV. THE PERIOD FROM 300 B.C. TO 500 A.D.
  1. THE SCHOOL OF ALEXANDRIA
  2. EUCLID
  3. ERATOSTHENES AND ARCHIMEDES
  4. APOLLONIUS AND HIS SUCCESSORS
  5. PERIOD OF MENELAUS
  6. PTOLEMY AND HIS SUCCESSORS
  7. DIOPHANTUS AND HIS SUCCESSORS
  8. THE ORIENT
  TOPICS FOR DISCUSSION
V. THE PERIOD FROM 500 TO 1000
  1. CHINA
  2. JAPAN
  3. INDIA
  4. PERSIA AND ARABIA
  5. THE CHRISTIAN WEST
  6. THE CHRISTIAN EAST
  7. SPAIN
  TOPICS FOR DISCUSSION
VI. THE OCCIDENT FROM 1000 TO 1500
  1. CHRISTIAN EUROPE FROM 1000 TO 1200
  2. ORIENTAL CIVILIZATION IN THE WEST
  3. CHRISTIAN EUROPE FROM 1200 TO 1300
  4. CHRISTIAN EUROPE FROM 1300 TO 1400
  5. CHRISTIAN EUROPE FROM 1400 TO 1500
  TOPICS FOR DISCUSSION
VII. THE ORIENT FROM 1000 TO 1500
  1. CHINA
  2. JAPAN
  3. INDIA
  4. PERSIA AND ARABIA
  TOPICS FOR DISCUSSION
VIII. THE SIXTEENTH CENTURY
  1. GENERAL CONDITIONS
  2. ITALY
  3. FRANCE
  4. ENGLAND
  5. GERMANY
  6. THE NETHERLANDS
  7. SPAIN
  8. OTHER EUROPEAN COUNTRIES
  9. THE ORIENT
  10. THE NEW WORLD
  TOPICS FOR DISCUSSION
IX. THE SEVENTEENTH CENTURY
  1. GENERAL CONDITIONS
  2. ITALY
  3. FRANCE
  4. GREAT BRITAIN
  5. GERMANY
  6. THE NETHERLANDS
  7. OTHER EUROPEAN COUNTRIES
  8. THE ORIENT
  TOPICS FOR DISCUSSION
X. THE EIGHTEENTH CENTURY AND AFTER
  1. GENERAL CONDITIONS
  2. GREAT BRITAIN
  3. FRANCE
  4. GERMANY
  5. ITALY
  6. SWITZERLAND
  7. OTHER EUROPEAN COUNTRIES
  8. UNITED STATES
  9. THE ORIENT
  10. THE HISTORIANS OF MATHEMATICS
  TOPICS FOR DISCUSSION
CHRONOLOGICAL TABLE
INDEX