Pi: A Source Book
J.L. Berggren, Jonathan Borwein, Peter Borwein, "Pi: A Source Book"
English | 2004 | ISBN: 0387205713 | DJVU | pages: 797 | 18.6 mb
English | 2004 | ISBN: 0387205713 | DJVU | pages: 797 | 18.6 mb
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.