Pi: A Source Book


Book Description

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.




On Their Own Terms


Book Description

In On Their Own Terms, Benjamin A. Elman offers a much-needed synthesis of early Chinese science during the Jesuit period (1600-1800) and the modern sciences as they evolved in China under Protestant influence (1840s-1900). By 1600 Europe was ahead of Asia in producing basic machines, such as clocks, levers, and pulleys, that would be necessary for the mechanization of agriculture and industry. In the seventeenth and eighteenth centuries, Elman shows, Europeans still sought from the Chinese their secrets of producing silk, fine textiles, and porcelain, as well as large-scale tea cultivation. Chinese literati borrowed in turn new algebraic notations of Hindu-Arabic origin, Tychonic cosmology, Euclidian geometry, and various computational advances. Since the middle of the nineteenth century, imperial reformers, early Republicans, Guomindang party cadres, and Chinese Communists have all prioritized science and technology. In this book, Elman gives a nuanced account of the ways in which native Chinese science evolved over four centuries, under the influence of both Jesuit and Protestant missionaries. In the end, he argues, the Chinese produced modern science on their own terms.




Pi: A Source Book


Book Description

Our intention in this collection is to provide, largely through original writings, an ex tended account of pi from the dawn of mathematical time to the present. The story of pi reflects the most seminal, the most serious, and sometimes the most whimsical aspects of mathematics. A surprising amount of the most important mathematics and a signifi cant number of the most important mathematicians have contributed to its unfolding directly or otherwise. Pi is one of the few mathematical concepts whose mention evokes a response of recog nition and interest in those not concerned professionally with the subject. It has been a part of human culture and the educated imagination for more than twenty-five hundred years. The computation of pi is virtually the only topic from the most ancient stratum of mathematics that is still of serious interest to modern mathematical research. To pursue this topic as it developed throughout the millennia is to follow a thread through the history of mathematics that winds through geometry, analysis and special functions, numerical analysis, algebra, and number theory. It offers a subject that provides mathe maticians with examples of many current mathematical techniques as weIl as a palpable sense of their historical development. Why a Source Book? Few books serve wider potential audiences than does a source book. To our knowledge, there is at present no easy access to the bulk of the material we have collected.




A History of Chinese Mathematics


Book Description

This book is made up of two parts, the first devoted to general, historical and cultural background, and the second to the development of each subdiscipline that together comprise Chinese mathematics. The book is uniquely accessible, both as a topical reference work, and also as an overview that can be read and reread at many levels of sophistication by both sinologists and mathematicians alike.




Euclid's Elements


Book Description

"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.




The History of Mathematical Proof in Ancient Traditions


Book Description

This radical, profoundly scholarly book explores the purposes and nature of proof in a range of historical settings. It overturns the view that the first mathematical proofs were in Greek geometry and rested on the logical insights of Aristotle by showing how much of that view is an artefact of nineteenth-century historical scholarship. It documents the existence of proofs in ancient mathematical writings about numbers and shows that practitioners of mathematics in Mesopotamian, Chinese and Indian cultures knew how to prove the correctness of algorithms, which are much more prominent outside the limited range of surviving classical Greek texts that historians have taken as the paradigm of ancient mathematics. It opens the way to providing the first comprehensive, textually based history of proof.




Bunny


Book Description

NATIONAL BESTSELLER Soon to be a major motion picture "Jon Swift + Witches of Eastwick + Kelly 'Get In Trouble' Link + Mean Girls + Creative Writing Degree Hell! No punches pulled, no hilarities dodged, no meme unmangled! O Bunny you are sooo genius!" —Margaret Atwood, via Twitter "A wild, audacious and ultimately unforgettable novel." —Michael Schaub, Los Angeles Times "Awad is a stone-cold genius." —Ann Bauer, The Washington Post The Vegetarian meets Heathers in this darkly funny, seductively strange novel from the acclaimed author of 13 Ways of Looking at a Fat Girl and Rouge "We were just these innocent girls in the night trying to make something beautiful. We nearly died. We very nearly did, didn't we?" Samantha Heather Mackey couldn't be more of an outsider in her small, highly selective MFA program at New England's Warren University. A scholarship student who prefers the company of her dark imagination to that of most people, she is utterly repelled by the rest of her fiction writing cohort--a clique of unbearably twee rich girls who call each other "Bunny," and seem to move and speak as one. But everything changes when Samantha receives an invitation to the Bunnies' fabled "Smut Salon," and finds herself inexplicably drawn to their front door--ditching her only friend, Ava, in the process. As Samantha plunges deeper and deeper into the Bunnies' sinister yet saccharine world, beginning to take part in the ritualistic off-campus "Workshop" where they conjure their monstrous creations, the edges of reality begin to blur. Soon, her friendships with Ava and the Bunnies will be brought into deadly collision. The spellbinding new novel from one of our most fearless chroniclers of the female experience, Bunny is a down-the-rabbit-hole tale of loneliness and belonging, friendship and desire, and the fantastic and terrible power of the imagination. Named a Best Book of 2019 by TIME, Vogue, Electric Literature, and The New York Public Library




The Suàn Shù Shū


Book Description




Sophie's World


Book Description

A page-turning novel that is also an exploration of the great philosophical concepts of Western thought, Jostein Gaarder's Sophie's World has fired the imagination of readers all over the world, with more than twenty million copies in print. One day fourteen-year-old Sophie Amundsen comes home from school to find in her mailbox two notes, with one question on each: "Who are you?" and "Where does the world come from?" From that irresistible beginning, Sophie becomes obsessed with questions that take her far beyond what she knows of her Norwegian village. Through those letters, she enrolls in a kind of correspondence course, covering Socrates to Sartre, with a mysterious philosopher, while receiving letters addressed to another girl. Who is Hilde? And why does her mail keep turning up? To unravel this riddle, Sophie must use the philosophy she is learning—but the truth turns out to be far more complicated than she could have imagined.




History in Mathematics Education


Book Description

This ground-breaking book investigates how the learning and teaching of mathematics can be improved through integrating the history of mathematics into all aspects of mathematics education: lessons, homework, texts, lectures, projects, assessment, and curricula. It draws upon evidence from the experience of teachers as well as national curricula, textbooks, teacher education practices, and research perspectives across the world. It includes a 300-item annotated bibliography of recent work in the field in eight languages.