Way over my head. I didn't even know how to read some of the equations, let alone understand what they meant. ( )

a bit of a rant, with (to my mind) needless disparagement of aristotle (among others). a somewhat irritating and inconsistent bias toward the practical ("There is no practical or scientific value in knowing more than the 17 decimal places...", p.101). digs up many interesting facts (i hope they are facts) about the discovery and calculation of π. some sections (eg computer capabilities, c.1970) dated by now(2008). ( )

Il pi greco è un numero sfuggente ancorché ubiquo. Sono tanti i libri che parlano di esso; però in questo caso devo dire che ci troviamo davanti a uno stranissimo miscuglio. Il testo è pieno di formule e derivazioni matematiche, quindi parrebbe più adatto per un matematico; ma Beckmann mette subito le cose in chiaro, e afferma che «Poiché non sono né uno storico né un matematico, mi sento del tutto qualificato per scrivere questo racconto». E in effetti il testo è inframmezzato di commenti per nulla sfumati contro tutto quello che non gli piace, dagli antichi romani ai cristiani, dai nazisti ai comunisti sovietici (Beckmann è di origine ceca, la sua famiglia emigrò in Gran Bretagna per sfuggire ai nazisti, rientrarono in patria dopo la guerra ma nel 1963 Beckmann defezionò verso gli USA). Questo può rendere meno indigesta la lettura a chi non mastica matematica e vuole solo avere un'idea della storia dietro il numero. La prima edizione del libro è del 1971 (anche se la versione in ebook è del 2014), pertanto non ci sono gli ultimi risultati ottenuti dai computer; ma tanto Beckmann li considerava di poco interesse, visto che sono solo conti... Chissà se però avrebbe apprezzato l'algoritmo che calcola una specifica cifra decimale di π senza ricavare prima le altre! ( )

This a well written book that sits at the edge of math and history. Its genius is in the tone. Mr Beckmann is an opinionated fellow (don't ask him for his thoughts on the United Nations), but his arguments are intelligent, well put together, and easy to understand.

As for the math, I understood the first half. The second half I usually got the concepts, but the actual math was beyond me. The illustrations of the principals were actually useful and placed in a spot that fit the narrative.

I also was very impressed that he he didn't neglect what was happening in Asia- for the time it was written (1970's), it would have taken a lot of research to get this information.

One last thing, the time the book was written, computers were nowhere near what they are in today. It took about 28 hours to calculate pi to 250,000 places. I suspect the laptop I'm typing this on can do it in a few minutes. This doesn't detract from the book, but adds to the charm. It's amazing how far we've come, technology wise, in the last 50 years. ( )

Dr. Beckmann wasn’t known for being afraid of saying what he felt, dissing Aristotle, Julius Caesar, the medieval Catholic Church, and Stalin (who he never dignifies with a mention by name, but simply calls “the Soviet Jenghiz Khan”; I personally think this is something of an insult to Genghis Khan).


Although Beckmann claims the book is nonmathematical, it’s chock full of geometry, algebra, trigonometry and calculus; I really need to read it again while equipped with AutoSketch and MathCAD, to follow some of the derivations. There are a few claims – for example, that late medieval Florentine bankers were forbidden to use infidel Arabic numerals and that a Spaniard was burned at the stake for claiming to have solved a quartic equation – where I would like to check the footnotes. However, there is one well-documented debunking of an urban legend – that the Indiana legislature once nearly voted to make π equal to 3 based on the Biblical reference in II Kings 7. What Beckmann uncovered is nearly as interesting; Edwin J. Goodwin of Solitude, Indiana, had succeeded in squaring the circle and many other interesting geometrical problems, and offered his new mathematics textbook to the State of Indiana royalty-free if they adopted his value for π. The bill made it to a second reading before it was intercepted by a visiting mathematics professor and tabled. The irony here is that the language of the bill is so complicated that it isn’t clear exactly what value Goodwin was proposing; as near as Beckmann can make it out it’s 16√3, which would have made pi about 9.2376 – as Beckmann notes, the most serious overestimate in the history of mathematics.


A lot of useful capsule biographies of eminent historic mathematicians, so it’s a valuable little book even if you don’t follow – or don’t want to follow – the math. In case you want to calculate the diameter of the universe to the nearest nanometer, the first 10000 digits of pi are included in the endpapers. Recommended.
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