Pi: A Source Book (Google eBook)

Front Cover
J.L. Berggren, Jonathan M. Borwein, Peter Borwein
Springer Science & Business Media, Jun 17, 2004 - Mathematics - 797 pages
3 Reviews

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."

From the reviews of earlier editions:

"Few mathematics books serve a wider potential readership than does a source book and this particular one is admirably designed to cater for a broad spectrum of tastes: professional mathematicians with research interest in related subjects, historians of mathematics, teachers at all levels searching out material for individual talks and student projects, and amateurs who will find much to amuse and inform them in this leafy tome. The authors are to be congratulated on their good taste in preparing such a rich and varied banquet with which to celebrate pi."
- Roger Webster for the Bulletin of the LMS

"The judicious representative selection makes this a useful addition to one's library as a reference book, an enjoyable survey of developments and a source of elegant and deep mathematics of different eras."
- Ed Barbeau for MathSciNet

"Full of useful formulas and ideas, it is a vast source of inspiration to any mathematician, A level and upwards-a necessity in any maths library."
- New Scientist

  

What people are saying - Write a review

User Review - Flag as inappropriate

This is a great book on computation of pi value. The coverage is about all ancient methods and modern methods of computing pi. The book goes historically but do not get into categorisation of pi computation. Some values are assumptions near to the pi and others are approximations, this type of categorical classification is not made while dividing the chapters.
Some are only formulas given by great mathematicians without any proofs. The original inventor may had proof but could not be available to us. In such cases if any proof is derived by the modern mathematicians, they are not included.
 

User Review - Flag as inappropriate

Gudd
BE COOL.

Contents

VI
1
VII
3
VIII
7
IX
15
X
20
XI
36
XII
45
XIII
51
XLVII
402
XLVIII
412
XLIX
418
L
424
LI
434
LII
439
LIII
448
LIV
456

XIV
53
XV
68
XVI
81
XVII
87
XVIII
92
XIX
108
XX
110
XXI
112
XXII
129
XXIII
141
XXIV
147
XXV
162
XXVI
194
XXVII
207
XXVIII
226
XXIX
230
XXX
231
XXXI
236
XXXII
240
XXXIII
241
XXXIV
271
XXXV
274
XXXVI
276
XXXVII
277
XXXVIII
282
XXXIX
306
XL
319
XLI
326
XLII
350
XLIII
359
XLIV
368
XLV
372
XLVI
400
LV
458
LVI
460
LVII
462
LVIII
481
LIX
537
LX
553
LXI
557
LXII
560
LXIII
562
LXIV
576
LXV
588
LXVI
596
LXVII
623
LXVIII
642
LXIX
649
LXX
654
LXXI
658
LXXII
659
LXXIII
663
LXXIV
677
LXXV
686
LXXVI
690
LXXVII
710
LXXVIII
717
LXXIX
721
LXXX
723
LXXXI
725
LXXXII
741
LXXXIII
753
LXXXIV
771
LXXXV
779
LXXXVI
781
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Page 14 - BAC, or of one-third of a right angle, is equal to one-fortyeighth of a right angle. Thus the angle subtended by BG at the centre is Ji (a right angle).] Therefore BG is a side of a regular inscribed polygon of 96 sides.

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