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THE NATURE OF NEGATIVE NUMBERS

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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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A LITTLE LIFE

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

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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. 21, 2014

Kirkus Reviews Issue: Jan. 1, 2015

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THE CATCHER IN THE RYE

A strict report, worthy of sympathy.

A violent surfacing of adolescence (which has little in common with Tarkington's earlier, broadly comic, Seventeen) has a compulsive impact.

"Nobody big except me" is the dream world of Holden Caulfield and his first person story is down to the basic, drab English of the pre-collegiate. For Holden is now being bounced from fancy prep, and, after a vicious evening with hall- and roommates, heads for New York to try to keep his latest failure from his parents. He tries to have a wild evening (all he does is pay the check), is terrorized by the hotel elevator man and his on-call whore, has a date with a girl he likes—and hates, sees his 10 year old sister, Phoebe. He also visits a sympathetic English teacher after trying on a drunken session, and when he keeps his date with Phoebe, who turns up with her suitcase to join him on his flight, he heads home to a hospital siege. This is tender and true, and impossible, in its picture of the old hells of young boys, the lonesomeness and tentative attempts to be mature and secure, the awful block between youth and being grown-up, the fright and sickness that humans and their behavior cause the challenging, the dramatization of the big bang. It is a sorry little worm's view of the off-beat of adult pressure, of contemporary strictures and conformity, of sentiment….

A strict report, worthy of sympathy.

Pub Date: June 15, 1951

ISBN: 0316769177

Page Count: -

Publisher: Little, Brown

Review Posted Online: Nov. 2, 2011

Kirkus Reviews Issue: June 15, 1951

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