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THE JOY OF X

A GUIDED TOUR OF MATH, FROM ONE TO INFINITY

A great book for the bright and curious, including even kids at grade school level up to college and beyond.

A neat survey of the major fields of math by a professor adept at writing both popularizations and textbooks.

Strogatz (Applied Mathematics/Cornell Univ.; Sync: The Emerging Science of Spontaneous Order, 2003, etc.) begins with counting and a reference to a Sesame Street video called 123 Count with Me, “the best introduction to numbers I’ve ever seen.” Throughout the book, the author never loses sight of the mystique and charm of numbers, and at the end, he explores concepts of infinity. There, Strogatz includes a classic proof of why some infinite systems of numbers contain more numbers than other infinite systems, an idea that shocked 19th-century mathematicians as much as the concept of imaginary numbers (the square roots of negative numbers) shocked their peers a century earlier. What’s remarkable about the author’s approach is that he conveys so much of the basic essences of the topics he covers, including algebra, geometry, trigonometry, calculus, probability theory, vector analysis and group theory, and he often stresses intuition and visualization. His discussion of the Pythagorean theorem expertly shows how the squares on the sides of a right triangle can be added to make the square on the hypotenuse. Not surprisingly, Strogatz also emphasizes the utility of math, quoting the physicist Eugene Wigner on “the unreasonable effectiveness of mathematics in the natural sciences.” In many cases, however, the author states the utility as a matter of fact rather than something to be proved—e.g., the ripples on a pond, the ridges of a sand dune and the stripes of a zebra, which reflect “the emergence of sinusoidal structure from a background of bland uniformity.” To learn why, readers should dig into the math more deeply.

A great book for the bright and curious, including even kids at grade school level up to college and beyond.

Pub Date: Oct. 2, 2012

ISBN: 978-0-547-51765-0

Page Count: 336

Publisher: Houghton Mifflin Harcourt

Review Posted Online: July 29, 2012

Kirkus Reviews Issue: Aug. 15, 2012

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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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