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# π Episodes from the Early History of Mathematics (New Mathematical Library) by Asger Aaboe β epub download

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While mathematics has a long history, in many ways it was not until the publication of Euclid's Elements that it became an abstract science. Babylonian mathematics, the topic of the first chapter, largely dealt with counting and the focus in this book is on the notations the Babylonians used to represent numbers, both integers and fractions. Although their notation had its' limits, we still use it today for time and angle measure. And then there was Euclid, and all was ordered. There is no reason to believe one way or another that Euclid was the first to prove the theorems in his classic work, but there is no doubt as to his organizational genius. His "rigorous" setting down of the principles of geometric thought was truly a turning point in abstract mathematics, If you are not impressed when reading the material of the second chapter, taken from Euclid, then you have no aesthetic appreciation for what mathematics is. While the mathematics has been cleaned, the beauty has never been topped. The next chapter is about the greatest genius before Newton, Archimedes. In fact, had he been blessed with better notation, it is possible that he would have invented, or at least pre-invented calculus. If even half of the legends about his mechanical skill are true, they are still amazing. Apparently, entire armies and navies were terrified at the rumor that one of his mechanical devices was about to be used. The crispness of his theorems and the logical progression will be just as instructive thousands of years from now. The final chapter describes how Ptolemy was able to construct trigonometric tables. Using the chords of circles, he was able to construct tables that can still be used today. Civilization improves and mathematicians continue to expand the mathematical field and refine earlier work. However, the elegance of earlier work still shines through, and in this book you can experience some of the earliest mathematical diamonds, hewn from thought and destined to survive as long as humans do.

## About book:

## About file:

Security code:

- Series:
**New Mathematical Library** - Author:
**Asger Aaboe** - Year:
**1997** - Publisher:
**The Mathematical Association of America** - Language:
**English** - ISBN:
**0883856131,9780883856130**

- File size:
**1 157 543** - Format:
**djvu**

Security code:

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For the English language edition, this completely unique book of J.C. Martzloff has been fully revised and updated. It includes many new recent insights and illustrations, a new appendix on Chinese primary sources and a guide to the to the bibliography. ...

This volume contains a selection of papers presented at the 2008 Conference on Frontiers of Applied and Computational Mathematics (FACM'08), held at the New Jersey Institute of Technology (NJIT), May 19-21, 2008. The papers reflect the conference themes o...

Magical Mathematics reveals the secrets of fun-to-perform card tricks--and the profound mathematical ideas behind them--that will astound even the most accomplished magician. Persi Diaconis and Ron Graham provide easy, step-by-step instructions for ea...

Ancient Christians invoked sin to account for an astonishing range of things, from the death of God's son to the politics of the Roman Empire that worshipped him. In this book, award-winning historian of religion Paula Fredriksen tells the surprising ...

Originally published in 1992 and available now only from UNM Press, An Illustrated History of New Mexico combines more than two hundred photographs and a concise history to create an engaging, panoramic view of New MexicoΠ²Πβ’s fascinating past. For thousan...

The definitive book that recounts the full history of the colorful queens of Egypt. This fascinating saga spans 3,000 years of Egyptian queenship from Early Dynastic times until the suicide of Cleopatra in 30 BC. Starting with the unique role enjoyed by ...

"Conflict, Complexity and Mathematical Social Science" provides a foundational mathematical approach to the modelling of social conflict. The book illustrates how theory and evidence can be mathematically deepened and how investigations grounded in social...

Everyone loves Texas food and now, Dean Fearing, arguably the best chef in Texas, shares the top traditional and modern dishes from the Lone Star State.THE TEXAS FOOD BIBLEFrom Legendary Dishes to New ClassicsTHE TEXAS FOOD BIBLE will be a timeless, authe...

Today's industrial laboratory analyst encounters issues such as quality control, quality assurance ISO 9000, standard operating procedures, calibration, standard reference materials, statistical control, control charts, proficiency testing, validation, sy...