Showing posts with label history of mathematics. Show all posts
Showing posts with label history of mathematics. Show all posts

Astronomy and Mathematics in Ancient China: The 'Zhou Bi Suan Jing' (Needham Research Institute Studies) Review

Astronomy and Mathematics in Ancient China: The 'Zhou Bi Suan Jing' (Needham Research Institute Studies)
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Don't let the title fool you. This is not just about China, this is about the human condition. Someone with an imagination should have worked on the title and given it a bit more excitement. I almost skipped reading the book because the title seemed so dry.
I read this book twice and will probably read it, again. The author's presentation is simply masterful. Step by step, he recreates the setting and background for the book's creation and utilization. In fact, he walks the reader through about 2000 years of 'uses' that people found for the book. According to Cullen, this classic was probably a gift to a Chinese emperor and then dumped in a back room for 200 years. It was only when political circumstances changed and an 'old' book might be valuable that it was 'rediscovered' and rendered useful.
For anyone interested in the practice of ancient astronomy, Cullen goes into great detail on the tools and practice of Chinese astronomers from about 3000 BC to the arrival of Jesuits in 1600. For anyone interested in Chinese political history, Cullen explores imperial Chinese history in a way that simply makes one want to read much, much more. For anyone interested in ancient Chinese record keeping, Cullen offers practical advice on what to make of the 'documents' we moderns discover.
I hope they make this a paperback so that it can get wider circulation. What is commonly called 'the history of math' is often embarrassingly western (ethno-centric). This book offers a means of correcting that unfortunate state of affairs.

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Ancient Mathematics (Sciences of Antiquity Series) Review

Ancient Mathematics (Sciences of Antiquity Series)
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This book is not so much a history of ancient Greek mathematicians and their work (although that is part of it) as it is a sociological study of how mathematics was present as a cognitive method and how it was applied for practical and social purposes in ancient Greece and Rome. It is a look at how mathematics was used as a means of structuring the mental, physical, and social life during that period. If your interest is principally in the mathematics of ancient Greek mathematicians, then the book may seem diffuse and beside the point. It is, though, a clearly written and reflective book, and it brings into focus how mathematics is ever present and how it pervades our lives.

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How Mathematics Happened: The First 50,000 Years Review

How Mathematics Happened: The First 50,000 Years
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Written by Peter S. Rudman (Professor Physics, Technion-Israel Institute of Technology), How Mathematics Happened is explores the history and prehistory of human mathematical discovery. From the different ways Egyptians and Babylonians expressed fractions so that they would almost never be nonterminating fractions, to the evolution of pattern recognition to finger counting to pebble counting, to the underappreciated Mayan mathematics system, to concepts of abstraction and rigor invented by Greek mathematicians such as Pythagoras, Eratosthenes, and Hippasus. An amazing tour of human discovery, illustrated with black-and-white diagrams and punctuated with "fun questions" (with answers) for the reader to solve as well as references and an index, How Mathematics Happened is an engaging read for students, scholars, and laypeople alike.

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