[PDF] Pi A Source Book eBook

Author : J.L. Berggren
Publisher : Springer
Page : 812 pages
File Size : 48,63 MB
Release : 2014-01-13
Category : Mathematics
ISBN : 1475742177

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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.

Author : Jonathan M. Borwein
Publisher : Springer Science & Business Media
Page : 754 pages
File Size : 22,78 MB
Release : 2013-06-29
Category : Mathematics
ISBN : 1475732406

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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.

Author : Lennart Berggren
Publisher :
Page : 797 pages
File Size : 27,2 MB
Release : 2004
Category : Pi
ISBN :

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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 include selections from the mathematical and computational literature over four millennia, a variety of historical studies on the cultural significance of the number, and an assortment of anecdotal, fanciful, and simply amusing pieces. 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, new translations of works by Viete and Huygen, as well as Kaplansky's never-before-published 'Song of Pi.'"--Publisher's website

Author : Wendy Mass
Publisher : Little, Brown Books for Young Readers
Page : 160 pages
File Size : 42,95 MB
Release : 2013-06-11
Category : Juvenile Fiction
ISBN : 0316235016

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Joss is the seventh son of the Supreme Overlord of the Universe, and all he gets to do is deliver pies. That's right: pies. Of course these pies actually hold the secrets of the universe between their buttery crusts, but they're still pies. Joss comes from a family of overachievers, and is happy to let his older brothers shine. But when Earth suddenly disappears, Joss is tasked with the not-so-simple job of bringing it back. With the help of an outspoken girl from Earth named Annika, Joss embarks on the adventure of a lifetime and learns that the universe is an even stranger place than he'd imagined.

Author : Dirk Jan Struik
Publisher : Princeton University Press
Page : 444 pages
File Size : 23,45 MB
Release : 2014-07-14
Category : Mathematics
ISBN : 1400858003

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These selected mathematical writings cover the years when the foundations were laid for the theory of numbers, analytic geometry, and the calculus. Originally published in 1986. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Author : Henry Marshall Leicester
Publisher : Harvard University Press
Page : 578 pages
File Size : 26,6 MB
Release : 1952
Category : Science
ISBN : 9780674822306

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A collection of important writings in the history of chemistry from 1400-1900, each with an introduction by the editors.

Author : Jörg Arndt
Publisher : Springer Science & Business Media
Page : 275 pages
File Size : 41,81 MB
Release : 2012-12-06
Category : Computers
ISBN : 3642567355

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In the 4,000-year history of research into Pi, results have never been as prolific as present. This book describes, in easy-to-understand language, the latest and most fascinating findings of mathematicians and computer scientists in the field of Pi. Attention is focused on new methods of high-speed computation.

Author : Michael Clinton Perry
Publisher : Lippincott Williams & Wilkins
Page : 820 pages
File Size : 14,7 MB
Release : 2008
Category : Medical
ISBN : 9780781773287

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The Chemotherapy Source Book, Fourth Edition pulls together all the current information on the chemotherapeutic management of cancer patients, including choice of chemotherapeutic agents, use of combinations, and toxicity of individual drugs. Organized by disease site, the book brings together pharmacologic and patient management information in one source that clinicians can consult for any question encountered in the delivery of chemotherapy. This updated Fourth Edition includes new drugs as well as new indications for older drugs. Content has been streamlined to provide essential information more quickly for the busy practitioner. Plus, this edition is softcover for greater portability and convenience.

Author : David H. Bailey
Publisher : Springer
Page : 509 pages
File Size : 23,42 MB
Release : 2016-07-19
Category : Mathematics
ISBN : 3319323776

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This book contains a compendium of 25 papers published since the 1970s dealing with pi and associated topics of mathematics and computer science. The collection begins with a Foreword by Bruce Berndt. Each contribution is preceded by a brief summary of its content as well as a short key word list indicating how the content relates to others in the collection. The volume includes articles on actual computations of pi, articles on mathematical questions related to pi (e.g., “Is pi normal?”), articles presenting new and often amazing techniques for computing digits of pi (e.g., the “BBP” algorithm for pi, which permits one to compute an arbitrary binary digit of pi without needing to compute any of the digits that came before), papers presenting important fundamental mathematical results relating to pi, and papers presenting new, high-tech techniques for analyzing pi (i.e., new graphical techniques that permit one to visually see if pi and other numbers are “normal”). This volume is a companion to Pi: A Source Book whose third edition released in 2004. The present collection begins with 2 papers from 1976, published by Eugene Salamin and Richard Brent, which describe “quadratically convergent” algorithms for pi and other basic mathematical functions, derived from some mathematical work of Gauss. Bailey and Borwein hold that these two papers constitute the beginning of the modern era of computational mathematics. This time period (1970s) also corresponds with the introduction of high-performance computer systems (supercomputers), which since that time have increased relentlessly in power, by approximately a factor of 100,000,000, advancing roughly at the same rate as Moore’s Law of semiconductor technology. This book may be of interest to a wide range of mathematical readers; some articles cover more advanced research questions suitable for active researchers in the field, but several are highly accessible to undergraduate mathematics students.