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Pi: A Source Book
This book documents the history of pi from the dawn of mathematical time to the present. One of the beauties of the literature on pi is that it allows for the inclusion of very modern, yet accessible, mathematics. The articles on pi collected herein fall into various classes. First and foremost there is a selection from the mathematical and computational literature of four millennia. There is also a variety of historical studies on the cultural significance of the number. Additionally, there is a selection of pieces that are anecdotal, fanciful, or simply amusing. For this new edition, the authors have updated the original material while adding new material of historical and cultural interest. There is a substantial exposition of the recent history of the computation of digits of pi, a discussion of the normality of the distribution of the digits, and new translations of works by Viete and Huygen.
Episodes in the Mathematics of Medieval Islam
This book presents an account of selected topics from key mathematical works of medieval Islam, based on the Arabic texts themselves. Many of these works had a great influence on mathematics in Western Europe. Topics covered in the first edition include arithmetic, algebra, geometry, trigonometry, and numerical approximation; this second edition adds number theory and combinatorics. Additionally, the author has included selections from the western regions of medieval Islam—both North Africa and Spain. The author puts the works into their historical context and includes numerous examples of how mathematics interacted with Islamic society.
From Alexandria, Through Baghdad
This book honors the career of historian of mathematics J.L. Berggren, his scholarship, and service to the broader community. The first part, of value to scholars, graduate students, and interested readers, is a survey of scholarship in the mathematical sciences in ancient Greece and medieval Islam. It consists of six articles (three by Berggren himself) covering research from the middle of the 20th century to the present. The remainder of the book contains studies by eminent scholars of the ancient and medieval mathematical sciences. They serve both as examples of the breadth of current approaches and topics, and as tributes to Berggren's interests by his friends and colleagues.
A Ring and a Bundle of Letters
When Marion Dakin died in 1974, a bundle of letters was found in her desk -- all in Swedish. Years before she died Marion had given her granddaughter "old family rings" to use for her wedding -- one came from Eric Helsten, or so she thought. Her grandfather Eric Helsten was a tanner who immigrated from Sweden in 1845, initially settling in Haviland Hollow NY and then in Gaylordsville CT. He married another immigrant, Mary Hearty, who came from Ireland in 1848. These letters are from Eric's mother and twelve siblings dating from 1845 until he died in 1903. This is the story of Eric and Mary's life, in the US with the accompanying story of life back home as told through these 86 letters and documents. Included are two chapters with genealogical information on Eric Helsten's maternal and paternal ancestors in Sweden -- including Swedish family names of Alfvars, Bouvin, Chevet, Dandanell, Dubois, Gilljam, Hellsten, Hultman, Krutmeijer, Martin, Österman, Pousette, Robbert, Tillman, Tussin.
From Hesiod to Saussure, from Hippocrates to Jevons
This book is the first of a three-volume set introducing the history of scientific thought (including social and human science). The area covered in this volume is ancient Mesopotamia, classical Antiquity and the Islamic Middle Ages. Combining general descriptions with extensive excerpts from original sources in English translation, it concentrates on ways of thinking and actual argumentation and not just on results and mistakes; questions of validity are primarily dealt with in the perspective of the time of the writing, not on that of the 21st century. The work is of great interest to historians of science and culture, students as well as seasoned workers – but also for amateurs willing to invest the necessary serious efforts.
The Wealth of Religions
How religious beliefs and practices can influence the wealth of nations Which countries grow faster economically—those with strong beliefs in heaven and hell or those with weak beliefs in them? Does religious participation matter? Why do some countries experience secularization while others are religiously vibrant? In The Wealth of Religions, Rachel McCleary and Robert Barro draw on their long record of pioneering research to examine these and many other aspects of the economics of religion. Places with firm beliefs in heaven and hell measured relative to the time spent in religious activities tend to be more productive and experience faster growth. Going further, there are two directions ...
Early Modern Print Media and the Art of Observation
Early modern printmakers trained observers to scan the heavens above as well as faces in their midst. Peter Apian printed the Cosmographicus Liber (1524) to teach lay astronomers their place in the cosmos, while also printing practical manuals that translated principles of spherical astronomy into useful data for weather watchers, farmers, and astrologers. Physiognomy, a genre related to cosmography, taught observers how to scrutinize profiles in order to sum up peoples' characters. Neither Albrecht Dürer nor Leonardo escaped the tenacious grasp of such widely circulating manuals called practica. Few have heard of these genres today, but the kinship of their pictorial programs suggests that printers shaped these texts for readers who privileged knowledge retrieval. Cultivated by images to become visual learners, these readers were then taught to hone their skills as observers. This book unpacks these and other visual strategies that aimed to develop both the literate eye of the reader and the sovereignty of images in the early modern world.
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