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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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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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DISTANT SHORES

Soft-focus story moves right along with few surprises. This time around, Hannah avoids the soap-opera complications of her...

Another middle-aged mom in a muddle.

After years of false starts and big hopes, Elizabeth’s ruggedly handsome husband Jack, a former football star, just landed a spot as a sportscaster on national news. He still loves her, even though much younger women are giving him come-hither looks. Heck, he doesn’t want to betray the love of his life after she helped him kick drugs and stuck by him even when he was a struggling has-been. And won’t it seem hypocritical if he fools around with his sexy assistant while he does in-depth reporting on a rape case involving a famous basketball center? Well, he fools around anyway. Elizabeth, nicknamed Birdie, knows nothing of this, but she withdraws from Jack when her hard-drinking, salt-of-the-earth father has a stroke and dies. Now no one will call her “sugar beet” ever again. Time to return home to Tennessee and contend with Anita, the sort-of-evil stepmother so trashy she wears pink puffy slippers all day long. Naturally, it turns out that Anita actually has a heart of gold and knows a few things about Birdie’s dead mother that were hushed up for years. Mom was an artist, just like Birdie, and an old scandal comes to light as Anita unrolls a vibrant canvas that portrays her secret lover. Perhaps, Birdie muses, her mother died of heartbreak, never having followed her true love or developed her talent. Has she, too, compromised everything she holds dear? Hoping to find out, Birdie joins a support group that promises to reconnect confused women with their passion. She and Jack separate, prompting a how-dare-you fit from their grown daughters. Will Birdie fly her empty nest? Will she go back to college for a degree in art? Will her brooding watercolors ever sell?

Soft-focus story moves right along with few surprises. This time around, Hannah avoids the soap-opera complications of her previous tales (Summer Island, 2001, etc.).

Pub Date: July 1, 2002

ISBN: 0-345-45071-X

Page Count: 352

Publisher: Ballantine

Review Posted Online: May 19, 2010

Kirkus Reviews Issue: May 15, 2002

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