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ONE TO NINE

THE INNER LIFE OF NUMBERS

Not for the math-phobic reader, but a treat for those who like challenges.

A mother lode of lore and learning about the digits.

Hodges (Mathematics/Oxford Univ.; Alan Turing: The Enigma, 1983) has much to say about logic, computers, binary (and other base) notational systems, encryption and randomness. As is typical of books on numbers, the chapters proceed from one to nine, exploring characteristics of each number, but they are also (as is typical of Hodges) jumping-off points for loftier concepts. Chapter “One” duly discusses unity, but before long we are introduced to zero, primes and why their number is infinite, set theory and Kurt Gödel’s cunning theorems on undecidability in mathematics. Two themes are also introduced: Sudoku puzzles (including the fiendish “Killer” Sudoku) and the antipathy between English scholars G.H. Hardy, who gloried in the uselessness of pure math, and Lancelot Hogben, who saw it as an important tool in all human commerce and industry. As later chapters reveal, discoveries involving pure number theory turn out to have surprising utility. Thus “quaternion” multiplication (don’t ask) is “vital to quantum mechanics” and has applications in computer games and in controlling roll, pitch and yaw in spacecraft. And so it goes, as Hodges relates findings about the geometry of curved spaces to general relativity or the Fibonacci series to the growth of flowers. No book on numbers would be complete without a discussion of magic squares, the golden mean, probability theory and various formulations of the natural logarithm base e. To this add Hodges’s prodigious knowledge of music (harmonics), physics and cosmology (the Higgs boson, string theory, multiverses), plus developments in modern math, and you have a formidable mix that dazzles but will likely overtax most readers. This highbrow fare is packaged in airy, witty prose, complete with Anglo-American cultural references and the occasional political dig.

Not for the math-phobic reader, but a treat for those who like challenges.

Pub Date: May 1, 2008

ISBN: 978-0-393-06641-8

Page Count: 304

Publisher: Norton

Review Posted Online: May 19, 2010

Kirkus Reviews Issue: April 1, 2008

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THE ELEMENTS OF STYLE

50TH ANNIVERSARY EDITION

Stricter than, say, Bergen Evans or W3 ("disinterested" means impartial — period), Strunk is in the last analysis...

Privately published by Strunk of Cornell in 1918 and revised by his student E. B. White in 1959, that "little book" is back again with more White updatings.

Stricter than, say, Bergen Evans or W3 ("disinterested" means impartial — period), Strunk is in the last analysis (whoops — "A bankrupt expression") a unique guide (which means "without like or equal").

Pub Date: May 15, 1972

ISBN: 0205632645

Page Count: 105

Publisher: Macmillan

Review Posted Online: Oct. 28, 2011

Kirkus Reviews Issue: May 1, 1972

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NUTCRACKER

This is not the Nutcracker sweet, as passed on by Tchaikovsky and Marius Petipa. No, this is the original Hoffmann tale of 1816, in which the froth of Christmas revelry occasionally parts to let the dark underside of childhood fantasies and fears peek through. The boundaries between dream and reality fade, just as Godfather Drosselmeier, the Nutcracker's creator, is seen as alternately sinister and jolly. And Italian artist Roberto Innocenti gives an errily realistic air to Marie's dreams, in richly detailed illustrations touched by a mysterious light. A beautiful version of this classic tale, which will captivate adults and children alike. (Nutcracker; $35.00; Oct. 28, 1996; 136 pp.; 0-15-100227-4)

Pub Date: Oct. 28, 1996

ISBN: 0-15-100227-4

Page Count: 136

Publisher: Harcourt

Review Posted Online: May 19, 2010

Kirkus Reviews Issue: Aug. 15, 1996

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