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The Distribution of Prime Numbers

The Distribution of Prime Numbers Author Albert Edward Ingham
ISBN-10 0521397898
Release 1932
Pages 114
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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.



The Book of Prime Number Records

The Book of Prime Number Records Author Paulo Ribenboim
ISBN-10 9781468405071
Release 2012-12-06
Pages 479
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This text originated as a lecture delivered November 20, 1984, at Queen's University, in the undergraduate colloquim series established to honor Professors A. J. Coleman and H. W. Ellis and to acknow ledge their long lasting interest in the quality of teaching under graduate students. In another colloquim lecture, my colleague Morris Orzech, who had consulted the latest edition of the Guilllless Book oj Records, remainded 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 include also 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.



Prime Numbers and the Riemann Hypothesis

Prime Numbers and the Riemann Hypothesis Author Barry Mazur
ISBN-10 9781107101920
Release 2016-04-11
Pages 150
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This book introduces prime numbers and explains the famous unsolved Riemann hypothesis.



The Penguin Dictionary of Curious and Interesting Numbers

The Penguin Dictionary of Curious and Interesting Numbers Author David Wells
ISBN-10 0140261494
Release 1997-09-04
Pages 231
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Provides information on numbers and what makes particular ones noteworthy



The Solitude of Prime Numbers

The Solitude of Prime Numbers Author Paolo Giordano
ISBN-10 1101190027
Release 2010-03-18
Pages 288
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A stunning debut novel about the intertwined destinies of two friends brought together by childhood tragedy. A three-million-copy Italian bestseller and winner of that country’s prestigious Premio Strega award. A prime number is inherently a solitary thing: it can only be divided by itself, or by one: it never truly fits with another. Alice and Mattia, too, move on their own axis, alone with their personal tragedies. As a child, Alice’s overbearing father drove her first to a terrible skiing accident, and then to anorexia. When she meets Mattia she recognizes a kindred, tortured spirit, and Mattia reveals to Alice his terrible secret: that as a boy he abandoned his mentally-disabled twin sister in a park to go to a party, and when he returned, she was nowhere to be found. These two irreversible episodes mark Alice and Mattia’s lives for ever, and as they grow into adulthood their destinies seem intertwined: they are divisible only by themselves and each other. But the shadow of the lost twin haunts their relationship, until a chance sighting by Alice of a woman who could be Mattia’s sister forces a lifetime of secret emotion to the surface. A meditation on loneliness and love, The Solitude of Prime Numbers asks, can we ever truly be whole when we’re in love with another? And when Mattia is asked to choose between human love and his professional love — of mathematics — which will make him more complete?



Prime Obsession

Prime Obsession Author John Derbyshire
ISBN-10 9780309141253
Release 2003-04-15
Pages 446
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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.



Secrets of Creation

Secrets of Creation Author Matthew Watkins
ISBN-10 9781785351020
Release 2015-03-27
Pages 362
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The Mystery of the Prime Numbers uses an innovative visual approach to communicate some surprisingly advanced mathematical ideas without any need for formulas or equations. The issue of prime numbers acts as a gateway into some truly strange philosophical territory whose relevance extends well beyond mathematics. The series Secrets of Creation is in three volumes: Secrets of Creation Volume 1 The Mystery of the Prime Numbers Secrets of Creation, Volume 2 The Enigma of the Spiral Waves Secrets of Creation, Volume 3 Prime Numbers, Quantum Physics and a Journey to the Centre of Your Mind



The Secret Harmony of Primes

The Secret Harmony of Primes Author Sam Vaseghi
ISBN-10 9176370003
Release 2016-08-19
Pages 100
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A primary aim of this book is to show that such overarching and comprehensive principles do exist and govern the entire prime sequence. To unlock these secrets of harmony, for the enthusiastic reader, it is not necessary to unveil new structures of organisation, and from different points of view.



Excursions in Number Theory

Excursions in Number Theory Author Charles Stanley Ogilvy
ISBN-10 0486257789
Release 1988
Pages 168
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Challenging, accessible mathematical adventures involving prime numbers, number patterns, irrationals and iterations, calculating prodigies, and more. No special training is needed, just high school mathematics and an inquisitive mind. "A splendidly written, well selected and presented collection. I recommend the book unreservedly to all readers." — Martin Gardner.



The Call of the Primes

The Call of the Primes Author Owen O'Shea
ISBN-10 9781633881488
Release 2016
Pages 270
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This sampler of entertaining mathematical diversions reveals the elegance and extraordinary usefulness of mathematics for readers who think they have no aptitude for the subject. If you like any kind of game at all, you'll enjoy the amazing mathematical puzzles and patterns presented here in straightforward terms that any layperson can understand. From magic squares and the mysterious qualities of prime numbers to Pythagorean triples, probability theory, the Fibonacci sequence, and more, the author shows that math can be fun while having some profound implications. Such ubiquitous mathematical entities as pi and the Fibonacci numbers are found throughout the natural world and are also the foundation of our technological civilization. By exploring the intriguing games presented here, you'll come away with a greater appreciation for the beauty and importance of these and many more math concepts. This is the perfect book for people who were turned off by math in school but now as adults wonder what they may have missed.



Prime Numbers Via Prime Complements

Prime Numbers Via Prime Complements Author Charles Harriman
ISBN-10 0988240815
Release 2014-10-01
Pages
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Prime Numbers via Prime Complements, by Charles Harriman, provides a new way to identify the prime numbers.



Unknown Quantity

Unknown Quantity Author John Derbyshire
ISBN-10 9780309096577
Release 2006-05-02
Pages 390
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Prime Obsession taught us not to be afraid to put the math in a math book. Unknown Quantity heeds the lesson well. So grab your graphing calculators, slip out the slide rules, and buckle up! John Derbyshire is introducing us to algebra through the ages -- and it promises to be just what his die-hard fans have been waiting for. "Here is the story of algebra." With this deceptively simple introduction, we begin our journey. Flanked by formulae, shadowed by roots and radicals, escorted by an expert who navigates unerringly on our behalf, we are guaranteed safe passage through even the most treacherous mathematical terrain. Our first encounter with algebraic arithmetic takes us back 38 centuries to the time of Abraham and Isaac, Jacob and Joseph, Ur and Haran, Sodom and Gomorrah. Moving deftly from Abel's proof to the higher levels of abstraction developed by Galois, we are eventually introduced to what algebraists have been focusing on during the last century. As we travel through the ages, it becomes apparent that the invention of algebra was more than the start of a specific discipline of mathematics -- it was also the birth of a new way of thinking that clarified both basic numeric concepts as well as our perception of the world around us. Algebraists broke new ground when they discarded the simple search for solutions to equations and concentrated instead on abstract groups. This dramatic shift in thinking revolutionized mathematics. Written for those among us who are unencumbered by a fear of formulae, Unknown Quantity delivers on its promise to present a history of algebra. Astonishing in its bold presentation of the math and graced with narrative authority, our journey through the world of algebra is at once intellectually satisfying and pleasantly challenging.



Uncle Petros and Goldbach s Conjecture

Uncle Petros and Goldbach s Conjecture Author Apostolos Doxiadis
ISBN-10 9780571295692
Release 2012-11-15
Pages 224
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Uncle Petros is a family joke. An ageing recluse, he lives alone in a suburb of Athens, playing chess and tending to his garden. If you didn't know better, you'd surely think he was one of life's failures. But his young nephew suspects otherwise. For Uncle Petros, he discovers, was once a celebrated mathematician, brilliant and foolhardy enough to stake everything on solving a problem that had defied all attempts at proof for nearly three centuries - Goldbach's Conjecture. His quest brings him into contact with some of the century's greatest mathematicians, including the Indian prodigy Ramanujan and the young Alan Turing. But his struggle is lonely and single-minded, and by the end it has apparently destroyed his life. Until that is a final encounter with his nephew opens up to Petros, once more, the deep mysterious beauty of mathematics. Uncle Petros and Goldbach's Conjecture is an inspiring novel of intellectual adventure, proud genius, the exhilaration of pure mathematics - and the rivalry and antagonism which torment those who pursue impossible goals.



The Number Mysteries

The Number Mysteries Author Marcus du Sautoy
ISBN-10 0230120288
Release 2011-05-24
Pages 272
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Every time we download music, take a flight across the Atlantic or talk on our cell phones, we are relying on great mathematical inventions. In The Number Mysteries, one of our generation's foremost mathematicians Marcus du Sautoy offers a playful and accessible examination of numbers and how, despite efforts of the greatest minds, the most fundamental puzzles of nature remain unsolved. Du Sautoy tells about the quest to predict the future—from the flight of asteroids to an impending storm, from bending a ball like Beckham to forecasting population growth. He brings to life the beauty behind five mathematical puzzles that have contributed to our understanding of the world around us and have helped develop the technology to cope with it. With loads of games to play and puzzles to solve, this is a math book for everyone.



What s Happening in the Mathematical Sciences

What s Happening in the Mathematical Sciences Author Barry Cipra
ISBN-10 0821889982
Release 1994
Pages 51
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After rave reviews for last year's issue of What's Happening, volume 2 has been eagerly awaited. Very well written, '' said one reader of volume 1. The writing is brilliant, positively brilliant.'' A terrific publication, '' said another. This is a wonderful tool for showing people what mathematics is about and what mathematicians can do.'' One reader called it a must for all mathematics department reading and coffee lounges.'' Volume 2 of What's Happening features the same lively writing and all new topics. Here you can read about a new class of solitons, the contributions wavelets are making to solving scientific problems, how mathematics is improving medical imaging, and Andrew Wiles's acclaimed work on Fermat's Last Theorem. What's Happening is great for mathematics undergraduates, graduate students, and mathematics clubs---not to mention mathematics faculty, who will enjoy reading about recent developments in fields other than their own. Highlighting the excitement and wonder of mathematics, What's Happening is in a class by itself.



Pythagoras Revenge

Pythagoras  Revenge Author Arturo Sangalli
ISBN-10 0691049556
Release 2009-05-10
Pages 183
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The celebrated mathematician and philosopher Pythagoras left no writings. But what if he had and the manuscript had never been found? Where would it be located? Two mathematicians, one American, one British, set out, unbeknownst to each other, to find the missing manuscript.



Pedagogy and Content in Middle and High School Mathematics

Pedagogy and Content in Middle and High School Mathematics Author G. Donald Allen
ISBN-10 9789463511377
Release 2017-11-10
Pages 12
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The book provides an accumulation of articles, included in Focus on Mathematics Pedagogy and Content, a newsletter for teachers, published by Texas A&M University. Each article presents a discussion of a middle or high school mathematics topic. Many of the articles are written by professors at Texas A&M University. The book is broken into three parts, with the first part focusing on content and pedagogy, related to the NCTM content strands of Number, Algebra, Geometry, Measurement, and Statistics and Probability. Articles include an in-depth presentation of mathematical content, as well as suggested instructional strategies. Thus, the integration of content knowledge and pedagogical knowledge is emphasized. The second and third parts apply to assessments, mathematical games, teaching tips, and technological applications. While other pedagogical reference books may provide an in-depth look at how to teach a topic, this book includes articles that also explain a topic, in great length. Thus, teachers may develop content knowledge first and then re-read each article, in order to learn appropriate instructional strategies to use. Many articles include technological applications, which are interspersed throughout the book. In addition, a special section, which includes helpful information, available tools, training sessions, and other references, for using technology in mathematics, is also presented.