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Author: Patricia Cohen
Publisher: Simon and Schuster
ISBN: 1416572899
Category : Aging
Languages : en
Pages : 322

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Author: Susan J. Douglas
Publisher: W. W. Norton & Company
ISBN: 0393652564
Category : Social Science
Languages : en
Pages : 217

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“[A] galvanizing manifesto.” —New York Times Book Review, Editors’ Choice With a sharp sense of justice and wit, Susan J. Douglas raises the alarm about ageist attacks against women, whether pushed out of jobs, caricatured in the media, or preyed upon by the anti-aging industry. Douglas celebrates women defying stereotypes and embracing activism and puts forward a plan for a brighter future for all women. Entertaining and smart, you’ll want to share this book with your best friend.

Author: Paulo Ribenboim
Publisher: Springer Science & Business Media
ISBN: 1468499386
Category : Mathematics
Languages : en
Pages : 492

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Book Description
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.

Author: Albert Edward Ingham
Publisher: Cambridge University Press
ISBN: 9780521397896
Category : Mathematics
Languages : en
Pages : 140

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Originally published in 1934, this volume presents the theory of the distribution of the prime numbers in the series of natural numbers. Despite being long out of print, it remains unsurpassed as an introduction to the field.

Author: Barry Mazur
Publisher: Cambridge University Press
ISBN: 1107101921
Category : Mathematics
Languages : en
Pages : 155

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This book introduces prime numbers and explains the famous unsolved Riemann hypothesis.

Author: John Derbyshire
Publisher: Joseph Henry Press
ISBN: 0309141257
Category : Science
Languages : en
Pages : 447

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Book Description
In August 1859 Bernhard Riemann, a little-known 32-year old mathematician, presented a paper to the Berlin Academy titled: "On the Number of Prime Numbers Less Than a Given Quantity." In the middle of that paper, Riemann made an incidental remark â€" a guess, a hypothesis. What he tossed out to the assembled mathematicians that day has proven to be almost cruelly compelling to countless scholars in the ensuing years. Today, after 150 years of careful research and exhaustive study, the question remains. Is the hypothesis true or false? Riemann's basic inquiry, the primary topic of his paper, concerned a straightforward but nevertheless important matter of arithmetic â€" defining a precise formula to track and identify the occurrence of prime numbers. But it is that incidental remark â€" the Riemann Hypothesis â€" that is the truly astonishing legacy of his 1859 paper. Because Riemann was able to see beyond the pattern of the primes to discern traces of something mysterious and mathematically elegant shrouded in the shadows â€" subtle variations in the distribution of those prime numbers. Brilliant for its clarity, astounding for its potential consequences, the Hypothesis took on enormous importance in mathematics. Indeed, the successful solution to this puzzle would herald a revolution in prime number theory. Proving or disproving it became the greatest challenge of the age. It has become clear that the Riemann Hypothesis, whose resolution seems to hang tantalizingly just beyond our grasp, holds the key to a variety of scientific and mathematical investigations. The making and breaking of modern codes, which depend on the properties of the prime numbers, have roots in the Hypothesis. In a series of extraordinary developments during the 1970s, it emerged that even the physics of the atomic nucleus is connected in ways not yet fully understood to this strange conundrum. Hunting down the solution to the Riemann Hypothesis has become an obsession for many â€" the veritable "great white whale" of mathematical research. Yet despite determined efforts by generations of mathematicians, the Riemann Hypothesis defies resolution. Alternating passages of extraordinarily lucid mathematical exposition with chapters of elegantly composed biography and history, Prime Obsession is a fascinating and fluent account of an epic mathematical mystery that continues to challenge and excite the world. Posited a century and a half ago, the Riemann Hypothesis is an intellectual feast for the cognoscenti and the curious alike. Not just a story of numbers and calculations, Prime Obsession is the engrossing tale of a relentless hunt for an elusive proof â€" and those who have been consumed by it.

Author: Dimitris Koukoulopoulos
Publisher: American Mathematical Soc.
ISBN: 1470447541
Category : Education
Languages : en
Pages : 370

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Book Description
Prime numbers have fascinated mathematicians since the time of Euclid. This book presents some of our best tools to capture the properties of these fundamental objects, beginning with the most basic notions of asymptotic estimates and arriving at the forefront of mathematical research. Detailed proofs of the recent spectacular advances on small and large gaps between primes are made accessible for the first time in textbook form. Some other highlights include an introduction to probabilistic methods, a detailed study of sieves, and elements of the theory of pretentious multiplicative functions leading to a proof of Linnik's theorem. Throughout, the emphasis has been placed on explaining the main ideas rather than the most general results available. As a result, several methods are presented in terms of concrete examples that simplify technical details, and theorems are stated in a form that facilitates the understanding of their proof at the cost of sacrificing some generality. Each chapter concludes with numerous exercises of various levels of difficulty aimed to exemplify the material, as well as to expose the readers to more advanced topics and point them to further reading sources.

Author: David Wells
Publisher: Wiley
ISBN: 0471718920
Category : Mathematics
Languages : en
Pages : 288

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Book Description
A fascinating journey into the mind-bending world of prime numbers Cicadas of the genus Magicicada appear once every 7, 13, or 17 years. Is it just a coincidence that these are all prime numbers? How do twin primes differ from cousin primes, and what on earth (or in the mind of a mathematician) could be sexy about prime numbers? What did Albert Wilansky find so fascinating about his brother-in-law's phone number? Mathematicians have been asking questions about prime numbers for more than twenty-five centuries, and every answer seems to generate a new rash of questions. In Prime Numbers: The Most Mysterious Figures in Math, you'll meet the world's most gifted mathematicians, from Pythagoras and Euclid to Fermat, Gauss, and Erd?o?s, and you'll discover a host of unique insights and inventive conjectures that have both enlarged our understanding and deepened the mystique of prime numbers. This comprehensive, A-to-Z guide covers everything you ever wanted to know--and much more that you never suspected--about prime numbers, including: * The unproven Riemann hypothesis and the power of the zeta function * The "Primes is in P" algorithm * The sieve of Eratosthenes of Cyrene * Fermat and Fibonacci numbers * The Great Internet Mersenne Prime Search * And much, much more

Author: Andrew Granville
Publisher: Princeton University Press
ISBN: 0691188734
Category : Mathematics
Languages : en
Pages : 233

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Book Description
An outrageous graphic novel that investigates key concepts in mathematics Integers and permutations—two of the most basic mathematical objects—are born of different fields and analyzed with separate techniques. Yet when the Mathematical Sciences Investigation team of crack forensic mathematicians, led by Professor Gauss, begins its autopsies of the victims of two seemingly unrelated homicides, Arnie Integer and Daisy Permutation, they discover the most extraordinary similarities between the structures of each body. Prime Suspects is a graphic novel that takes you on a voyage of forensic discovery, exploring some of the most fundamental ideas in mathematics. Travel with Detective von Neumann as he leaves no clue unturned, from shepherds’ huts in the Pyrenees to secret societies in the cafés of Paris, from the hidden codes in the music of the stones to the grisly discoveries in Finite Fields. Tremble at the ferocity of the believers in deep and rigid abstraction. Feel the frustration—and the excitement—of our young heroine, Emmy Germain, as she blazes a trail for women in mathematical research and learns from Professor Gauss, the greatest forensic detective of them all. Beautifully drawn and exquisitely detailed, Prime Suspects is unique, astonishing, and witty—a once-in-a-lifetime opportunity to experience mathematics like never before.

Author: Kulreet Chaudhary
Publisher: Harmony
ISBN: 110190433X
Category : Health & Fitness
Languages : en
Pages : 320

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Book Description
Prepared to live at your prime? Integrative neurologist Dr. Kulreet Chaudhary discovered a beautiful side effect to the eating and lifestyle tools she gave her brain patients--spontaneously shedding excess pounds. In this, her first book, she shows us how to sharpen the brain, and smarten and heal the gut. Weight gain is not about the food, but about the body’s environment. Excess weight is a result of the body being in a toxic, inflammatory state. If your body is not prepared or ‘primed’ for weight loss, you will fight an uphill biochemical battle. Her program is not about what you can't have or do, it's about adding simple teas and herbs, and succeeding without giving up any foods you love. With The Prime, Dr. Chaudhary has reverse engineered our way of eating, so we can stop dieting backward and start losing weight instead. You'll learn: --The importance of neuroadaptation, food addiction, and the brain (or, why your brain and gut have made it so hard to lose weight in the past!) --Why it’s not about what you eat, but what you digest --How to determine if you have a Leaky Brain—and what The Prime can do about it (hint: everything) --How to easily crush cravings (no willpower required), ignite energy and fat, and biohack your lifestyle habits. Lastly, you’ll learn how to live fully Primed, the secrets of the Super-Primed, and when you’re ready to explore new foods, how to eat according to your unique constitution.