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.

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.

“If you are into romance and sci-fi, this is definitely the book for you. If you enjoy feisty heroines and alphas with overprotective drives, who love to the max and indulge in hot hot sex, you too should buy this book. If you just like to escape into a good story with Love and passion, you'll have to have this book! “ – Suzy’s Book Shelf Bestselling author Monette Michaels takes you on a fantastic journey to old worlds and old civilizations were war, survival, treachery, and duty rule. Your journey to Cejuru Prime is fraught with danger as one alpha male fights to save the women destined to be his mate. Together, Wulf and Melina help form an alliance to save The Prime, one of the oldest species in the galaxy, and along the way discover a love so hot it sets the stars ablaze. Melina Dmitros is a seasoned battleship captain for the Galactic Alliance. Calls from ships in distress are not all that uncommon in the outermost spirals of the Milky Way. Calls from the warlike Prime were. Now that they were allies, Mel figures she’d better get used to working in conjunction with the chauvinistic race. She never expected to be attracted to one of them. The Prime, one of the oldest species in the galaxy, were known for going their own way. But with problems on Cejuru Prime and increasing attacks by the Antareans, the Prime joined the Alliance to lend their expertise in battling the warlike reptilian species--and ultimately, to survive as a race. Captain Wulf Caradoc, the eldest son and heir apparent of the Prime leader, looked forward to the trip to the Alliance ambassadorial planet. His mission is ostensibly to deliver the diplomatic team to the new Prime embassy. His real mission is to meet his fated mate, his gemate, one of the Lost Ones. Wulf hadn’t anticipated the diplomatic mission being attacked by pirates--and he especially hadn’t anticipated his gemate, Melina Dmitros, being the one sent to rescue his ship. Two strong people pulled together by biology and fate. Their union will be forged in a crucible of survival, treachery and duty. “The tension between them was phenomenal. The mystery and intrigue about who is behind the resistance and the attempts on Melina’s life added another dimension to an already fabulous story. I can’t wait for the continuation with the storyline and more clues into who is behind the whole resistance. A must read.” - Night Owl Reviews, Top Pick “The story is very interesting and it reads like a book version of Star Wars movie.” – Mei, Goodreads The Prime Chronicles (in order): 1. Prime Obsession 2. Prime Selection 3. Prime Imperative 3.5 Prime Claiming 4. Prime Target All caught up on The Prime Chronicles? For more Monette Michaels, try her Security Specialists International Series, starting with Eye of the Storm! Fans of Linnea Sinclair, Veronica Scott, and Susan Stoker will love the alpha males and suspense of all the Monette Michaels titles.

Striking photography of the polar regions and fauna found there.

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.

Like a hunter who sees 'a bit of blood' on the trail, that's how Princeton mathematician Peter Sarnak describes the feeling of chasing an idea that seems to have a chance of success. If this is so, then the jungle of abstractions that is mathematics is full of frenzied hunters these days. They are out stalking big game: the resolution of 'The Riemann Hypothesis', seems to be in their sights. The Riemann Hypothesis is about the prime numbers, the fundamental numerical elements. Stated in 1859 by Professor Bernhard Riemann, it proposes a simple law which Riemann believed a 'very likely' explanation for the way in which the primes are distributed among the whole numbers, indivisible stars scattered without end throughout a boundless numerical universe. Just eight years later, at the tender age of thirty-nine Riemann would be dead from tuberculosis, cheated of the opportunity to settle his conjecture. For over a century, the Riemann Hypothesis has stumped the greatest of mathematical minds, but these days frustration has begun to give way to excitement. This unassuming comment is revealing astounding connections among nuclear physics, chaos and number theory, creating a frenzy of intellectual excitement amplified by the recent promise of a one million dollar bounty. The story of the quest to settle the Riemann Hypothesis is one of scientific exploration. It is peopled with solitary hermits and gregarious cheerleaders, cool calculators and wild-eyed visionaries, Nobel Prize-winners and Fields Medalists. To delve into the Riemann Hypothesis is to gain a window into the world of modern mathematics and the nature of mathematics research. Stalking the Riemann Hypothesis will open wide this window so that all may gaze through it in amazement.

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

The riveting novel from the #1 New York Times bestselling author of The Liar. “She stood in the deep, dark woods, breath shallow and cold prickling over her skin despite the hot, heavy air. She took a step back, then two, as the urge to run fell over her.” Naomi Bowes lost her innocence the night she followed her father into the woods. In freeing the girl trapped in the root cellar, Naomi revealed the horrible extent of her father’s crimes and made him infamous. No matter how close she gets to happiness, she can’t outrun the sins of Thomas David Bowes. Now a successful photographer living under the name Naomi Carson, she has found a place that calls to her, a rambling old house in need of repair, thousands of miles away from everything she’s ever known. Naomi wants to embrace the solitude, but the kindly residents of Sunrise Cove keep forcing her to open up—especially the determined Xander Keaton. Naomi can feel her defenses failing, and knows that the connection her new life offers is something she’s always secretly craved. But the sins of her father can become an obsession, and, as she’s learned time and again, her past is never more than a nightmare away.

Over one million children and adolescents in the US suffer from Obsessive-Compulsive Disorder (OCD), a baffling illness that can be debilitating for the child in school, with friends and family. Help is now available! Cognitive-Behavioral Therapy (CBT) is the gold standard of treatment for OCD, and offers youngsters and their families the path to mastery over OCD. In this uniquely creative and heart-warming book, Dr. Wagner, an internationally recognized expert in the treatment of childhood OCD, uses the powerful real-life metaphor of the Worry Hill to describe OCD and its treatment clearly and simply through the eyes of a child. Children and adults will identify with Casey's struggle with OCD, his sense of hope when he learns about treatment, his relief that neither he nor his parents are to blame, and eventually, his victory over OCD.Parents and Professionals can use this book alone or together with the companion book, What to do when your Child has Obsessive-Compulsive Disorder. This is the only children's OCD book that has a companion book for parents.

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