The authors offer some beguiling insights on what math is about and how it has evolved but no royal road to easy...
A science writer and astronomer and his student, a teen math prodigy, join forces to elucidate fields of math they find weird.
Darling (Mayday!: A History of Flight Through its Martyrs, Oddballs, and Daredevils, 2015, etc.) and Banerjee are struck by how some of the most abstruse findings from math turn out to have practical applications in quantum physics or computer science—or lead to concepts like orders of infinity or yield unexpected patterns of numbers or figures. One could argue that these findings are neither weird nor magical but the inexorable results of logic and the permissible rules of operation of mathematical systems by imaginative thinkers. As subjects, the authors examine selected fields of pure, as opposed to applied, math. The first chapter takes on the idea of seeing in the fourth dimension, with descriptions of the 4-D extension of the cube called a tesseract. There follows a chapter on probability emphasizing non-intuitive findings and then one on fractals, a field that deals with curves that have fractional dimensions. This idea grew out of a paper by the field’s inventor, Benoit Mandelbrot, that asked, “how long is the coast of Britain?” Thereafter, the authors’ choices are more self-indulgent, with chapters on chess and music, which will be lost on readers who are not game players or familiar with harmonics. Other areas concern computer science and number theory emphasizing primes. There is a particularly wearisome chapter on competitions to generate large and larger numbers, a sport favored by Banerjee. The text concludes with chapters on topology, set theory, infinity, and the foundations of mathematics. This is difficult material, and readers should be familiar with logical paradoxes, the meaning of “proof,” and notions of consistency and completeness of axiomatic systems as well as the work Gödel and others in establishing the incompleteness of any mathematical system complex enough to embody arithmetic.
The authors offer some beguiling insights on what math is about and how it has evolved but no royal road to easy understanding.Pub Date: April 17, 2018
ISBN: 978-1-5416-4478-6
Page Count: 320
Publisher: Basic Books
Review Posted Online: Jan. 21, 2018
Kirkus Reviews Issue: Feb. 15, 2018
BOOK REVIEW
BOOK REVIEW
BOOK REVIEW
From the national correspondent for PBS's MacNeil-Lehrer Newshour: a moving memoir of her youth in the Deep South and her role in desegregating the Univ. of Georgia. The eldest daughter of an army chaplain, Hunter-Gault was born in what she calls the ``first of many places that I would call `my place' ''—the small village of Due West, tucked away in a remote little corner of South Carolina. While her father served in Korea, Hunter-Gault and her mother moved first to Covington, Georgia, and then to Atlanta. In ``L.A.'' (lovely Atlanta), surrounded by her loving family and a close-knit black community, the author enjoyed a happy childhood participating in activities at church and at school, where her intellectual and leadership abilities soon were noticed by both faculty and peers. In high school, Hunter-Gault found herself studying the ``comic-strip character Brenda Starr as I might have studied a journalism textbook, had there been one.'' Determined to be a journalist, she applied to several colleges—all outside of Georgia, for ``to discourage the possibility that a black student would even think of applying to one of those white schools, the state provided money for black students'' to study out of state. Accepted at Michigan's Wayne State, the author was encouraged by local civil-rights leaders to apply, along with another classmate, to the Univ. of Georgia as well. Her application became a test of changing racial attitudes, as well as of the growing strength of the civil-rights movement in the South, and Gault became a national figure as she braved an onslaught of hostilities and harassment to become the first black woman to attend the university. A remarkably generous, fair-minded account of overcoming some of the biggest, and most intractable, obstacles ever deployed by southern racists. (Photographs—not seen.)
Pub Date: Nov. 1, 1992
ISBN: 0-374-17563-2
Page Count: 192
Publisher: Farrar, Straus and Giroux
Review Posted Online: May 19, 2010
Kirkus Reviews Issue: Sept. 1, 1992
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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