THE NATURE OF NEGATIVE NUMBERS

Erickson delves into the nature of numbers, what they are, how we have formulated them throughout history, where we’ve gone wrong and how we can fix it.

In this numeric exploration, Erickson exposes inconsistencies in the way the real number system has been structured. Starting from the nature of real numbers together with their basic operations such as subtraction and multiplication of signed numbers, Erickson finds that there are flaws in how we view negative numbers; their roots lie both in our structure of the number line and the notion that the removal of a deficit is equivalent to giving a gift. To resolve these issues, the author presents his own number system, what he terms the “veritable” number system. Common operations such as subtraction, logarithms and trigonometric functions no longer work as they used to, and Erickson spends much of the remainder of the book showing us how to do these operations using his veritable numbers. But since essentially all of mathematics and the sciences are rooted in the real numbers with their own (different) laws, functions and operations, the author’s new number system is not particularly practical. Erickson rounds out the book discussing a few other topics, such as polar coordinates and Hamilton’s discovery of the quaternions. The author’s ideas and reasoning are compelling, and his discussions about imaginary numbers and how he unifies them via the use of both the real numbers and his veritable numbers, together with his desire to remove the “mystery” behind these concepts, should carry the interest of most mathematically inclined readers. A fascinating look at some of the underlying issues behind numbers—negative numbers in particular—though perhaps more as a curiosity than for practical application.

 

Pub Date: Dec. 20, 2011

ISBN: 978-1463761608

Page Count: 176

Publisher: CreateSpace

Review Posted Online: Jan. 24, 2012

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The phrase “tour de force” could have been invented for this audacious novel.

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A LITTLE LIFE

Four men who meet as college roommates move to New York and spend the next three decades gaining renown in their professions—as an architect, painter, actor and lawyer—and struggling with demons in their intertwined personal lives.

Yanagihara (The People in the Trees, 2013) takes the still-bold leap of writing about characters who don’t share her background; in addition to being male, JB is African-American, Malcolm has a black father and white mother, Willem is white, and “Jude’s race was undetermined”—deserted at birth, he was raised in a monastery and had an unspeakably traumatic childhood that’s revealed slowly over the course of the book. Two of them are gay, one straight and one bisexual. There isn’t a single significant female character, and for a long novel, there isn’t much plot. There aren’t even many markers of what’s happening in the outside world; Jude moves to a loft in SoHo as a young man, but we don’t see the neighborhood change from gritty artists’ enclave to glitzy tourist destination. What we get instead is an intensely interior look at the friends’ psyches and relationships, and it’s utterly enthralling. The four men think about work and creativity and success and failure; they cook for each other, compete with each other and jostle for each other’s affection. JB bases his entire artistic career on painting portraits of his friends, while Malcolm takes care of them by designing their apartments and houses. When Jude, as an adult, is adopted by his favorite Harvard law professor, his friends join him for Thanksgiving in Cambridge every year. And when Willem becomes a movie star, they all bask in his glow. Eventually, the tone darkens and the story narrows to focus on Jude as the pain of his past cuts deep into his carefully constructed life.  

The phrase “tour de force” could have been invented for this audacious novel.

Pub Date: March 10, 2015

ISBN: 978-0-385-53925-8

Page Count: 720

Publisher: Doubleday

Review Posted Online: Dec. 22, 2014

Kirkus Reviews Issue: Jan. 1, 2015

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TO KILL A MOCKINGBIRD

A first novel, this is also a first person account of Scout's (Jean Louise) recall of the years that led to the ending of a mystery, the breaking of her brother Jem's elbow, the death of her father's enemy — and the close of childhood years. A widower, Atticus raises his children with legal dispassion and paternal intelligence, and is ably abetted by Calpurnia, the colored cook, while the Alabama town of Maycomb, in the 1930's, remains aloof to their divergence from its tribal patterns. Scout and Jem, with their summer-time companion, Dill, find their paths free from interference — but not from dangers; their curiosity about the imprisoned Boo, whose miserable past is incorporated in their play, results in a tentative friendliness; their fears of Atticus' lack of distinction is dissipated when he shoots a mad dog; his defense of a Negro accused of raping a white girl, Mayella Ewell, is followed with avid interest and turns the rabble whites against him. Scout is the means of averting an attack on Atticus but when he loses the case it is Boo who saves Jem and Scout by killing Mayella's father when he attempts to murder them. The shadows of a beginning for black-white understanding, the persistent fight that Scout carries on against school, Jem's emergence into adulthood, Calpurnia's quiet power, and all the incidents touching on the children's "growing outward" have an attractive starchiness that keeps this southern picture pert and provocative. There is much advance interest in this book; it has been selected by the Literary Guild and Reader's Digest; it should win many friends.

Pub Date: July 11, 1960

ISBN: 0060935464

Page Count: 323

Publisher: Lippincott

Review Posted Online: Oct. 7, 2011

Kirkus Reviews Issue: July 1, 1960

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