A sharp, witty book to press on students and even the teachers of math teachers.
An original book using recipes to explain sophisticated math concepts to students and even the math-phobic.
In a chapter on generalization, Cheng (Mathematics/Univ. of Sheffield and Univ. of Chicago) begins with a recipe she adapted to produce a cake that was vegan as well as gluten-, sugar-, and dairy-free, thus extending the recipe’s usefulness to serve more people. A chapter on axiomatization describes the difference between basic ingredients and things you can make with basic ingredients (e.g., marmalade). Math uses basic ingredients—axioms—that are assumed to be true and proofs that use hard logic to derive new truths. That’s what math is all about, writes the author; it is different from science, which gathers evidence to draw conclusions. By this time, Cheng has introduced readers to number systems, groups and sets, algebra, and topology. She also discusses internal vs. external motivation. In cooking, this is the difference between looking at what is on the shelves and figuring out how to use it in a recipe you invent (internal motivation) versus having a recipe in mind and gathering all the ingredients you need to make it (external). The author laments the way math is often taught, with the teacher providing a problem to solve and students finding the correct answer. She is strongly internally motivated in the pursuit of her specialty, category theory. She calls it the mathematics of mathematics, a field that seeks the most abstract generalizable concepts in relation to the worlds of mathematical objects. Cheng explains how category theory works by emphasizing contexts, relationships, structure, and universal properties, giving examples. The reading is tougher going here, probably because readers are in a state she describes as believing what she is teaching but not fully understanding it. However, Cheng is such a gifted teacher, readers will want to dive in again.
A sharp, witty book to press on students and even the teachers of math teachers.Pub Date: May 5, 2015
ISBN: 978-0-465-05171-7
Page Count: 304
Publisher: Basic Books
Review Posted Online: March 2, 2015
Kirkus Reviews Issue: March 15, 2015
BOOK REVIEW
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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
Necessarily swift and adumbrative as well as inclusive, focused, and graceful.
A light-speed tour of (mostly) Western poetry, from the 4,000-year-old Gilgamesh to the work of Australian poet Les Murray, who died in 2019.
In the latest entry in the publisher’s Little Histories series, Carey, an emeritus professor at Oxford whose books include What Good Are the Arts? and The Unexpected Professor: An Oxford Life in Books, offers a quick definition of poetry—“relates to language as music relates to noise. It is language made special”—before diving in to poetry’s vast history. In most chapters, the author deals with only a few writers, but as the narrative progresses, he finds himself forced to deal with far more than a handful. In his chapter on 20th-century political poets, for example, he talks about 14 writers in seven pages. Carey displays a determination to inform us about who the best poets were—and what their best poems were. The word “greatest” appears continually; Chaucer was “the greatest medieval English poet,” and Langston Hughes was “the greatest male poet” of the Harlem Renaissance. For readers who need a refresher—or suggestions for the nightstand—Carey provides the best-known names and the most celebrated poems, including Paradise Lost (about which the author has written extensively), “Kubla Khan,” “Ozymandias,” “The Charge of the Light Brigade,” Wordsworth and Coleridge’s Lyrical Ballads, which “changed the course of English poetry.” Carey explains some poetic technique (Hopkins’ “sprung rhythm”) and pauses occasionally to provide autobiographical tidbits—e.g., John Masefield, who wrote the famous “Sea Fever,” “hated the sea.” We learn, as well, about the sexuality of some poets (Auden was bisexual), and, especially later on, Carey discusses the demons that drove some of them, Robert Lowell and Sylvia Plath among them. Refreshingly, he includes many women in the volume—all the way back to Sappho—and has especially kind words for Marianne Moore and Elizabeth Bishop, who share a chapter.
Necessarily swift and adumbrative as well as inclusive, focused, and graceful.Pub Date: April 21, 2020
ISBN: 978-0-300-23222-6
Page Count: 304
Publisher: Yale Univ.
Review Posted Online: Feb. 8, 2020
Kirkus Reviews Issue: March 1, 2020
BOOK REVIEW
BOOK REVIEW
BOOK REVIEW
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