History of Mathematics

Lectures on History of Mathematics

G. Donald Allen


Aee also http://www.math.tamu.edu/~dallen/masters/index.htm for revised versions of these chapters.

Lectures on the History of Mathematics

The Origins of Ancient Mathematics
Mathematics of American Indians North of Mexico
The Scope of Ancient Mathematics
Chinese and Hindu mathematics before 1000 B.C.
Egyptian Mathematics
Mesopotamian Mathematics
The Origins of Greek Mathematics
Thales, the First Greek Mathematician
Anaxagoras of Clazomenae
Pythagoras and the Pythagorean School
Eudoxus
Greek enumeration
The Elements of Euclid
Archimedes, a brief encounter
Helenistic Mathematics
Ancient Algebra
Diophantus, a short tour (in Postscript)
Pappus
Arab Contributions to Mathematics
Mathematics in Mideval Europe
Mathematics during the Renaissance
The transition before calculus
Early Probability and the beginnings of Calculus
Calculus before Newton and Leibnitz, Part I
Barrow's fundamental theorem
Newton and Leibnitz
The history of the Riemann Integral
Some thoughts on the history of mathematics
The History of Infinity


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