The Number

Backed by imaginative reporting and insights, Eisenberg urges people to assume control and responsibility for their standard of living, and take greater aim on their long-term aspirations. Not an investment guide, this is a revealing look at common financial and emotional conflicts and how to control them.

On 9 June 2003, a 43-year-old coloured man named Magadien Wentzel walked out of Pollsmoor Prison in Cape Town. Behind him lay a lifelong career in the 28s, South Africa's oldest and most reviled prison gang, for decades rumoured to have specialised in rape and robbery. In front of him lay the prospect of a law-abiding future, and life in a household of eight adults and six children, none of whom earned a living. Jonny Steinberg met Wentzel in prison in the dying months of 2002. By the time Wentzel was released, he and Steinberg had spent more than 50 hours discussing his life experiences. The Number is an account of their conversations and of Steinberg's journeys to the places and people of Wentzel's past. Wentzel had lived a bewilderingly schizophrenic life, wandering to and fro between three worlds: the arcane universe of prison gangs, steeped in a mythology of banditry and retribution, where he was known as JR; the fringes of South Africa's criminal economy, where he lived by a string of stolen names and learned the arts of commercial fraud; and his scattered family which eked out a living int the coloured ghettos of the Cape flats. The Number visits each of those worlds in turn. It is a tale of modern South Africa's historic events seen through the eyes of the country's underclass. Surprisingly, perhaps, it is neither a story of passivity nor despair, but of beguiling ingenuity and cool cynicism. Most of all, the book is an account of memory and identity, of Wentzel's project to make some sense of his bewildering past and something worthy of his future. When Steinberg met him, Wentzel was embarking on a quest to retrieve the name he had been given at birth. He was also beginning the daunting task of gathering together the estranged children he had sired into a nuclear family. It was an eccentric and painful venture for a man with his past, but it has led him to construct an account of himself that begs to be told.

Three years into the Great War, England's greatest asset is their intelligence network--field agents risking their lives to gather information, and codebreakers able to crack every German telegram. Margot De Wilde thrives in the environment of the secretive Room 40, where she spends her days deciphering intercepted messages. But when her world is turned upside down by an unexpected loss, for the first time in her life numbers aren't enough. Drake Elton returns wounded from the field, followed by an enemy who just won't give up. He's smitten quickly by the intelligent Margot, but how can he convince a girl who lives entirely in her mind that sometimes life's answers lie in the heart? Amid biological warfare, encrypted letters, and a German spy who wants to destroy not just them but others they love, Margot and Drake will have to work together to save themselves from the very secrets that brought them together.

The interest earned on a bank account, the arrangement of seeds in a sunflower, and the shape of the Gateway Arch in St. Louis are all intimately connected with the mysterious number e. In this informal and engaging history, Eli Maor portrays the curious characters and the elegant mathematics that lie behind the number. Designed for a reader with only a modest mathematical background, this biography brings out the central importance of e to mathematics and illuminates a golden era in the age of science.

This fun colorful, and superbly informative book teaches children about numbers using recognizable places, events, and facts from the state of Tennessee.

This text originated as a lecture delivered November 20, 1984, at Queen's University, in the undergraduate colloquium series established to honour Professors A. J. Coleman and H. W. Ellis and to acknowledge their long-lasting interest in the quality of teaching undergraduate students. In another colloquium lecture, my colleague Morris Orzech, who had consulted the latest edition of the Guinness Book oj Records, reminded me very gently that the most "innumerate" people of the world are of a certain tribe in Mato Grosso, Brazil. They do not even have a word to express the number "two" or the concept of plurality. "Yes Morris, I'm from Brazil, but my book will contain numbers different from 'one.' " He added that the most boring 800-page book is by two Japanese mathematicians (whom I'll not name), and consists of about 16 million digits of the number 11. "I assure you Morris, that in spite of the beauty of the apparent randomness of the decimal digits of 11, I'll be sure that my text will also include some words." Acknowledgment. The manuscript of this book was prepared on the word processor by Linda Nuttall. I wish to express my appreciation for the great care, speed, and competence of her work. Paulo Ribenboim CONTENTS Preface vii Guiding the Reader xiii Index of Notations xv Introduction Chapter 1. How Many Prime Numbers Are There? 3 I. Euclid's Proof 3 II.

One of the most controversial, cutting-edge ideas in cosmology—the possibility that there exist multiple parallel universes—in fact has a long history. Tom Siegfried reminds us that the size and number of the heavens have been contested since ancient times. His story offers deep lessons about the nature of science and the quest for understanding.

"Using numbers many of Pennsylvania's state symbols, history, landscapes, and famous people are introduced. Topics include the Liberty Bell, fireflies, Gettysburg, Betsy Ross, and coal miners"--Provided by publisher.

Our understanding of how the human brain performs mathematical calculations is far from complete, but in recent years there have been many exciting breakthroughs by scientists all over the world. Now, in The Number Sense, Stanislas Dehaene offers a fascinating look at this recent research, in an enlightening exploration of the mathematical mind. Dehaene begins with the eye-opening discovery that animals--including rats, pigeons, raccoons, and chimpanzees--can perform simple mathematical calculations, and that human infants also have a rudimentary number sense. Dehaene suggests that this rudimentary number sense is as basic to the way the brain understands the world as our perception of color or of objects in space, and, like these other abilities, our number sense is wired into the brain. These are but a few of the wealth of fascinating observations contained here. We also discover, for example, that because Chinese names for numbers are so short, Chinese people can remember up to nine or ten digits at a time--English-speaking people can only remember seven. The book also explores the unique abilities of idiot savants and mathematical geniuses, and we meet people whose minute brain lesions render their mathematical ability useless. This new and completely updated edition includes all of the most recent scientific data on how numbers are encoded by single neurons, and which brain areas activate when we perform calculations. Perhaps most important, The Number Sense reaches many provocative conclusions that will intrigue anyone interested in learning, mathematics, or the mind. "A delight." --Ian Stewart, New Scientist "Read The Number Sense for its rich insights into matters as varying as the cuneiform depiction of numbers, why Jean Piaget's theory of stages in infant learning is wrong, and to discover the brain regions involved in the number sense." --The New York Times Book Review "Dehaene weaves the latest technical research into a remarkably lucid and engrossing investigation. Even readers normally indifferent to mathematics will find themselves marveling at the wonder of minds making numbers." --Booklist

``[In the book] we are dealing with a theme which cuts across the mathematics courses classically taught in the first four years of college. Thus it offers the reader the opportunity to learn, review and give long-term thought to the concepts covered in these programmes by following the guiding thread of this favoured number.'' --from the Preface This is a clever, beautiful book. The authors trace the thread of $\pi$ through the long history of mathematics. In so doing, they touch upon many major subjects in mathematics: geometry (of course), number theory, Galois theory, probability, transcendental numbers, analysis, and, as their crown jewel, the theory of elliptic functions, which connects many of the other subjects. By this device, the authors provide a tour through mathematics, one that mathematicians of all levels, amateur or professional, may appreciate. In many cases, the tour visits well-known topics from particular special interest groups. Remarkably, $\pi$ is often found at the places of deepest beauty. The volume includes many exercises with detailed solutions. Anyone from undergraduate mathematics majors through university professors will find many things to enjoy in this book.