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By John, Ph.D. Tabak

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By John, Ph.D. Tabak

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Additional resources for Algebra: Sets, Symbols, and the Language of Thought (The History of Mathematics), Revised Edition

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What we find in these earliest of records of Chinese mathematics is that Chinese mathematicians had already developed an advanced mathematical culture. It would be interesting to know when the Chinese began to develop their mathematics and how their ideas changed over time, but little is known about mathematics in China before the founding of the Han dynasty. This lack of knowledge is the result of a deliberate act. , ordered that all books be burned. This was done. The book burners were diligent.

It is the kind of knowledge that is now widely used in the study of probability.  .  . 2 · 1 where we have written his result in modern notation. This is an important formula that is widely used today. 42 ALGEBRA The second class of algebra problems is geometric in origin. In Mahavira’s hands even the geometry problems—and there are a number of them—are just another source of algebraic equations. For example, he attempts to find the dimensions of two triangles with the following properties: (1) the areas of the triangles are equal and (2) the perimeter of one is twice that of the other.

Mathematics was an integral part of Greek philosophical thought. (History of Macedonia Blog) Greeks were interested in mathematics for the sake of mathematics. They expressed their ideas in terms of the properties of numbers, points, curves, planes, and geometric solids. Most of them had no interest in applications of their subject, and in case anyone missed the point they were fond of reciting the story about the mathematician Euclid of Alexandria, who, when a student inquired about the utility of mathematics, instructed his servant to give the student a few coins so that he could profit from his studies.

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