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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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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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TO THE ONE I LOVE THE BEST

EPISODES FROM THE LIFE OF LADY MENDL (ELSIE DE WOLFE)

An extravaganza in Bemelmans' inimitable vein, but written almost dead pan, with sly, amusing, sometimes biting undertones, breaking through. For Bemelmans was "the man who came to cocktails". And his hostess was Lady Mendl (Elsie de Wolfe), arbiter of American decorating taste over a generation. Lady Mendl was an incredible person,- self-made in proper American tradition on the one hand, for she had been haunted by the poverty of her childhood, and the years of struggle up from its ugliness,- until she became synonymous with the exotic, exquisite, worshipper at beauty's whrine. Bemelmans draws a portrait in extremes, through apt descriptions, through hilarious anecdote, through surprisingly sympathetic and understanding bits of appreciation. The scene shifts from Hollywood to the home she loved the best in Versailles. One meets in passing a vast roster of famous figures of the international and artistic set. And always one feels Bemelmans, slightly offstage, observing, recording, commenting, illustrated.

Pub Date: Feb. 23, 1955

ISBN: 0670717797

Page Count: -

Publisher: Viking

Review Posted Online: Oct. 25, 2011

Kirkus Reviews Issue: Feb. 1, 1955

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