The Book of Prime Number Records

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Publisher : Springer Science & Business Media
ISBN 13 : 1468499386
Total Pages : 492 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis The Book of Prime Number Records by : Paulo Ribenboim

Download or read book The Book of Prime Number Records written by Paulo Ribenboim and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The New Book of Prime Number Records

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461207592
Total Pages : 558 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis The New Book of Prime Number Records by : Paulo Ribenboim

Download or read book The New Book of Prime Number Records written by Paulo Ribenboim and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text originated as a lecture delivered November 20, 1984, at Queen's University, in the undergraduate colloquium senes. In another colloquium lecture, my colleague Morris Orzech, who had consulted the latest edition of the Guinness Book of Records, reminded me very gently that the most "innumerate" people of the world are of a certain trible 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 decimal digits of the number Te. "I assure you, Morris, that in spite of the beauty of the appar ent randomness of the decimal digits of Te, I'll be sure that my text will include also some words." And then I proceeded putting together the magic combina tion of words and numbers, which became The Book of Prime Number Records. If you have seen it, only extreme curiosity could impel you to have this one in your hands. The New Book of Prime Number Records differs little from its predecessor in the general planning. But it contains new sections and updated records.

The Little Book of Bigger Primes

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Publisher : Springer Science & Business Media
ISBN 13 : 0387218203
Total Pages : 370 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis The Little Book of Bigger Primes by : Paulo Ribenboim

Download or read book The Little Book of Bigger Primes written by Paulo Ribenboim and published by Springer Science & Business Media. This book was released on 2006-06-01 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: A deep understanding of prime numbers is one of the great challenges in mathematics. In this new edition, fundamental theorems, challenging open problems, and the most recent computational records are presented in a language without secrets. The impressive wealth of material and references will make this book a favorite companion and a source of inspiration to all readers. Paulo Ribenboim is Professor Emeritus at Queen's University in Canada, Fellow of the Royal Society of Canada, and recipient of the George Pólya Award of the Mathematical Association of America. He is the author of 13 books and more than 150 research articles. From the reviews of the First Edition: Number Theory and mathematics as a whole will benefit from having such an accessible book exposing advanced material. There is no question that this book will succeed in exciting many new people to the beauty and fascination of prime numbers, and will probably bring more young people to research in these areas. (Andrew Granville, Zentralblatt)

Prime Numbers

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Publisher : Springer Science & Business Media
ISBN 13 : 0387289798
Total Pages : 597 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Prime Numbers by : Richard Crandall

Download or read book Prime Numbers written by Richard Crandall and published by Springer Science & Business Media. This book was released on 2006-04-07 with total page 597 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bridges the gap between theoretical and computational aspects of prime numbers Exercise sections are a goldmine of interesting examples, pointers to the literature and potential research projects Authors are well-known and highly-regarded in the field

Prime Numbers

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Publisher : Turner Publishing Company
ISBN 13 : 1118045718
Total Pages : 260 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Prime Numbers by : David Wells

Download or read book Prime Numbers written by David Wells and published by Turner Publishing Company. This book was released on 2011-01-13 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

My Numbers, My Friends

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Publisher : Springer Science & Business Media
ISBN 13 : 0387227547
Total Pages : 384 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis My Numbers, My Friends by : Paulo Ribenboim

Download or read book My Numbers, My Friends written by Paulo Ribenboim and published by Springer Science & Business Media. This book was released on 2006-05-10 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This selection of expository essays by Paulo Ribenboim should be of interest to mathematicians from all walks. Ribenboim, a highly praised author of several popular titles, writes each essay in a light and humorous language without secrets, making them thoroughly accessible to everyone with an interest in numbers. This new collection includes essays on Fibonacci numbers, prime numbers, Bernoulli numbers, and historical presentations of the main problems pertaining to elementary number theory, such as Kummers work on Fermat's last theorem.

A History of Mathematics

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Publisher : John Wiley & Sons
ISBN 13 : 0470525487
Total Pages : 695 pages
Book Rating : 4.4/5 (75 download)

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Book Synopsis A History of Mathematics by : Carl B. Boyer

Download or read book A History of Mathematics written by Carl B. Boyer and published by John Wiley & Sons. This book was released on 2011-01-11 with total page 695 pages. Available in PDF, EPUB and Kindle. Book excerpt: The updated new edition of the classic and comprehensive guide to the history of mathematics For more than forty years, A History of Mathematics has been the reference of choice for those looking to learn about the fascinating history of humankind’s relationship with numbers, shapes, and patterns. This revised edition features up-to-date coverage of topics such as Fermat’s Last Theorem and the Poincaré Conjecture, in addition to recent advances in areas such as finite group theory and computer-aided proofs. Distills thousands of years of mathematics into a single, approachable volume Covers mathematical discoveries, concepts, and thinkers, from Ancient Egypt to the present Includes up-to-date references and an extensive chronological table of mathematical and general historical developments. Whether you're interested in the age of Plato and Aristotle or Poincaré and Hilbert, whether you want to know more about the Pythagorean theorem or the golden mean, A History of Mathematics is an essential reference that will help you explore the incredible history of mathematics and the men and women who created it.

Number Words and Number Symbols

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Publisher : Courier Corporation
ISBN 13 : 0486270963
Total Pages : 514 pages
Book Rating : 4.4/5 (862 download)

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Book Synopsis Number Words and Number Symbols by : Karl Menninger

Download or read book Number Words and Number Symbols written by Karl Menninger and published by Courier Corporation. This book was released on 1992-01-01 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classic study discusses number sequence and language and explores written numerals and computations in many cultures. "The historian of mathematics will find much to interest him here both in the contents and viewpoint, while the casual reader is likely to be intrigued by the author's superior narrative ability." -Library Journal.282 illustrations. 1969 edition.

Five Days at Memorial

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Publisher : Crown
ISBN 13 : 0307718972
Total Pages : 602 pages
Book Rating : 4.3/5 (77 download)

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Book Synopsis Five Days at Memorial by : Sheri Fink

Download or read book Five Days at Memorial written by Sheri Fink and published by Crown. This book was released on 2016-01-26 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt: NEW YORK TIMES BESTSELLER • The award-winning book that inspired an Apple Original series from Apple TV+ • A landmark investigation of patient deaths at a New Orleans hospital ravaged by Hurricane Katrina—and the suspenseful portrayal of the quest for truth and justice—from a Pulitzer Prize–winning physician and reporter “An amazing tale, as inexorable as a Greek tragedy and as gripping as a whodunit.”—Dallas Morning News After Hurricane Katrina struck and power failed, amid rising floodwaters and heat, exhausted staff at Memorial Medical Center designated certain patients last for rescue. Months later, a doctor and two nurses were arrested and accused of injecting some of those patients with life-ending drugs. Five Days at Memorial, the culmination of six years of reporting by Pulitzer Prize winner Sheri Fink, unspools the mystery, bringing us inside a hospital fighting for its life and into the most charged questions in health care: which patients should be prioritized, and can health care professionals ever be excused for hastening death? Transforming our understanding of human nature in crisis, Five Days at Memorial exposes the hidden dilemmas of end-of-life care and reveals how ill-prepared we are for large-scale disasters—and how we can do better. ONE OF THE TEN BEST BOOKS OF THE YEAR: The New York Times Book Review • ONE OF THE BEST BOOKS OF THE YEAR: Chicago Tribune, Seattle Times, Entertainment Weekly, Christian Science Monitor, Kansas City Star WINNER: National Book Critics Circle Award, J. Anthony Lukas Book Prize, PEN/John Kenneth Galbraith Award, Los Angeles Times Book Prize, Ridenhour Book Prize, American Medical Writers Association Medical Book Award, National Association of Science Writers Science in Society Award

Prime Obsession

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Publisher : Joseph Henry Press
ISBN 13 : 0309141257
Total Pages : 446 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Prime Obsession by : John Derbyshire

Download or read book Prime Obsession written by John Derbyshire and published by Joseph Henry Press. This book was released on 2003-04-15 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Salt

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Publisher : Vintage Canada
ISBN 13 : 030736979X
Total Pages : 490 pages
Book Rating : 4.3/5 (73 download)

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Book Synopsis Salt by : Mark Kurlansky

Download or read book Salt written by Mark Kurlansky and published by Vintage Canada. This book was released on 2011-03-18 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the award-winning and bestselling author of Cod comes the dramatic, human story of a simple substance, an element almost as vital as water, that has created fortunes, provoked revolutions, directed economies and enlivened our recipes. Salt is common, easy to obtain and inexpensive. It is the stuff of kitchens and cooking. Yet trade routes were established, alliances built and empires secured – all for something that filled the oceans, bubbled up from springs, formed crusts in lake beds, and thickly veined a large part of the Earth’s rock fairly close to the surface. From pre-history until just a century ago – when the mysteries of salt were revealed by modern chemistry and geology – no one knew that salt was virtually everywhere. Accordingly, it was one of the most sought-after commodities in human history. Even today, salt is a major industry. Canada, Kurlansky tells us, is the world’s sixth largest salt producer, with salt works in Ontario playing a major role in satisfying the Americans’ insatiable demand. As he did in his highly acclaimed Cod, Mark Kurlansky once again illuminates the big picture by focusing on one seemingly modest detail. In the process, the world is revealed as never before.

The Distribution of Prime Numbers

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Publisher : Cambridge University Press
ISBN 13 : 9780521397896
Total Pages : 140 pages
Book Rating : 4.3/5 (978 download)

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Book Synopsis The Distribution of Prime Numbers by : Albert Edward Ingham

Download or read book The Distribution of Prime Numbers written by Albert Edward Ingham and published by Cambridge University Press. This book was released on 1990-09-28 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Six Records of a Floating Life

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Publisher : Penguin UK
ISBN 13 : 0141920343
Total Pages : 197 pages
Book Rating : 4.1/5 (419 download)

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Book Synopsis Six Records of a Floating Life by : Shen Fu

Download or read book Six Records of a Floating Life written by Shen Fu and published by Penguin UK. This book was released on 2004-09-30 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: Six Records of a Floating Life (1809) is an extraordinary blend of autobiography, love story and social document written by a man who was educated as a scholar but earned his living as a civil servant and art dealer. In this intimate memoir, Shen Fu recounts the domestic and romantic joys of his marriage to Yün, the beautiful and artistic girl he fell in love with as a child. He also describes other incidents of his life, including how his beloved wife obtained a courtesan for him and reflects on his travels through China. Shen Fu's exquisite memoir shows six parallel 'layers' of one man's life, loves and career, with revealing glimpses into Chinese society of the Ch'ing Dynasty.

An Illustrated Theory of Numbers

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Publisher : American Mathematical Soc.
ISBN 13 : 1470463717
Total Pages : 341 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis An Illustrated Theory of Numbers by : Martin H. Weissman

Download or read book An Illustrated Theory of Numbers written by Martin H. Weissman and published by American Mathematical Soc.. This book was released on 2020-09-15 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: News about this title: — Author Marty Weissman has been awarded a Guggenheim Fellowship for 2020. (Learn more here.) — Selected as a 2018 CHOICE Outstanding Academic Title — 2018 PROSE Awards Honorable Mention An Illustrated Theory of Numbers gives a comprehensive introduction to number theory, with complete proofs, worked examples, and exercises. Its exposition reflects the most recent scholarship in mathematics and its history. Almost 500 sharp illustrations accompany elegant proofs, from prime decomposition through quadratic reciprocity. Geometric and dynamical arguments provide new insights, and allow for a rigorous approach with less algebraic manipulation. The final chapters contain an extended treatment of binary quadratic forms, using Conway's topograph to solve quadratic Diophantine equations (e.g., Pell's equation) and to study reduction and the finiteness of class numbers. Data visualizations introduce the reader to open questions and cutting-edge results in analytic number theory such as the Riemann hypothesis, boundedness of prime gaps, and the class number 1 problem. Accompanying each chapter, historical notes curate primary sources and secondary scholarship to trace the development of number theory within and outside the Western tradition. Requiring only high school algebra and geometry, this text is recommended for a first course in elementary number theory. It is also suitable for mathematicians seeking a fresh perspective on an ancient subject.

All Shook Up

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Publisher : Oxford University Press
ISBN 13 : 0198031912
Total Pages : 241 pages
Book Rating : 4.1/5 (98 download)

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Book Synopsis All Shook Up by : Glenn C. Altschuler

Download or read book All Shook Up written by Glenn C. Altschuler and published by Oxford University Press. This book was released on 2003-08-07 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: The birth of rock 'n roll ignited a firestorm of controversy--one critic called it "musical riots put to a switchblade beat"--but if it generated much sound and fury, what, if anything, did it signify? As Glenn Altschuler reveals in All Shook Up, the rise of rock 'n roll--and the outraged reception to it--in fact can tell us a lot about the values of the United States in the 1950s, a decade that saw a great struggle for the control of popular culture. Altschuler shows, in particular, how rock's "switchblade beat" opened up wide fissures in American society along the fault-lines of family, sexuality, and race. For instance, the birth of rock coincided with the Civil Rights movement and brought "race music" into many white homes for the first time. Elvis freely credited blacks with originating the music he sang and some of the great early rockers were African American, most notably, Little Richard and Chuck Berry. In addition, rock celebrated romance and sex, rattled the reticent by pushing sexuality into the public arena, and mocked deferred gratification and the obsession with work of men in gray flannel suits. And it delighted in the separate world of the teenager and deepened the divide between the generations, helping teenagers differentiate themselves from others. Altschuler includes vivid biographical sketches of the great rock 'n rollers, including Elvis Presley, Fats Domino, Chuck Berry, Little Richard, Jerry Lee Lewis, and Buddy Holly--plus their white-bread doppelgangers such as Pat Boone. Rock 'n roll seemed to be everywhere during the decade, exhilarating, influential, and an outrage to those Americans intent on wishing away all forms of dissent and conflict. As vibrant as the music itself, All Shook Up reveals how rock 'n roll challenged and changed American culture and laid the foundation for the social upheaval of the sixties.

The Book of Gutsy Women

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Publisher : Simon and Schuster
ISBN 13 : 1501178431
Total Pages : 464 pages
Book Rating : 4.5/5 (11 download)

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Book Synopsis The Book of Gutsy Women by : Hillary Rodham Clinton

Download or read book The Book of Gutsy Women written by Hillary Rodham Clinton and published by Simon and Schuster. This book was released on 2019-10-01 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now an eight-part docuseries on Apple TV+ Hillary Rodham Clinton and her daughter, Chelsea, share the stories of the gutsy women who have inspired them—women with the courage to stand up to the status quo, ask hard questions, and get the job done. She couldn’t have been more than seven or eight years old. “Go ahead, ask your question,” her father urged, nudging her forward. She smiled shyly and said, “You’re my hero. Who’s yours?” Many people—especially girls—have asked us that same question over the years. It’s one of our favorite topics. HILLARY: Growing up, I knew hardly any women who worked outside the home. So I looked to my mother, my teachers, and the pages of Life magazine for inspiration. After learning that Amelia Earhart kept a scrapbook with newspaper articles about successful women in male-dominated jobs, I started a scrapbook of my own. Long after I stopped clipping articles, I continued to seek out stories of women who seemed to be redefining what was possible. CHELSEA: This book is the continuation of a conversation the two of us have been having since I was little. For me, too, my mom was a hero; so were my grandmothers. My early teachers were also women. But I grew up in a world very different from theirs. My pediatrician was a woman, and so was the first mayor of Little Rock who I remember from my childhood. Most of my close friends’ moms worked outside the home as nurses, doctors, teachers, professors, and in business. And women were going into space and breaking records here on Earth. Ensuring the rights and opportunities of women and girls remains a big piece of the unfinished business of the twenty-first century. While there’s a lot of work to do, we know that throughout history and around the globe women have overcome the toughest resistance imaginable to win victories that have made progress possible for all of us. That is the achievement of each of the women in this book. So how did they do it? The answers are as unique as the women themselves. Civil rights activist Dorothy Height, LGBTQ trailblazer Edie Windsor, and swimmer Diana Nyad kept pushing forward, no matter what. Writers like Rachel Carson and Chimamanda Ngozi Adichie named something no one had dared talk about before. Historian Mary Beard used wit to open doors that were once closed, and Wangari Maathai, who sparked a movement to plant trees, understood the power of role modeling. Harriet Tubman and Malala Yousafzai looked fear in the face and persevered. Nearly every single one of these women was fiercely optimistic—they had faith that their actions could make a difference. And they were right. To us, they are all gutsy women—leaders with the courage to stand up to the status quo, ask hard questions, and get the job done. So in the moments when the long haul seems awfully long, we hope you will draw strength from these stories. We do. Because if history shows one thing, it’s that the world needs gutsy women.

Elementary Number Theory

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Author :
Publisher : Courier Corporation
ISBN 13 : 0486153096
Total Pages : 208 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Elementary Number Theory by : Ethan D. Bolker

Download or read book Elementary Number Theory written by Ethan D. Bolker and published by Courier Corporation. This book was released on 2012-06-14 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text uses the concepts usually taught in the first semester of a modern abstract algebra course to illuminate classical number theory: theorems on primitive roots, quadratic Diophantine equations, and more.