The Universality of Mathematics (Part 1: The Greek Horizon)

The universal nature of mathematics leads the historian to consideration of far-flung geographical areas of growth and development. Various of these areas are close to Egyptian, Babylonian, Greek, and Roman settings, while others are distant. Barriers that divided people in earlier time periods were those of mountain ranges, oceans, and climates. Too, differences in race, language, and culture often made the communicating of ideas a difficult task. Hence, many forms of mathematics arose, all in some way or another addressed to the practical needs of the people.

Though mixed influences can often be detected as mathematical developments unfold (quite similar to that of Egyptian and Greek mathematics), this is not always the case. Independent discoveries must also be acknowledged. Complexity of growth, expressing a great diversity, demands a look at the broader scene of history. Branching out from the early cradles of civilization, man's quest for mathematical knowledge is to be noted on a scale that is truly worldwide.

A multi-dimensional world necessitates in this quest an understanding of the notions of space, time, distance, and things numerical. Moreover, the history of mankind in all times and places attests to this universality of mathematics. It extends from north to south, from Occident to Orient, from well-known to obscure.

Table of Contents:

JUST BEYOND THE WORLD OF THE GREEKS

CHINESE MATHEMATICS

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