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Author: Paul Pollack Publisher: American Mathematical Soc. ISBN: 0821848801 Category : Mathematics Languages : en Pages : 322
Book Description
Number theory is one of the few areas of mathematics where problems of substantial interest can be fully described to someone with minimal mathematical background. Solving such problems sometimes requires difficult and deep methods. But this is not a universal phenomenon; many engaging problems can be successfully attacked with little more than one's mathematical bare hands. In this case one says that the problem can be solved in an elementary way. Such elementary methods and the problems to which they apply are the subject of this book. Not Always Buried Deep is designed to be read and enjoyed by those who wish to explore elementary methods in modern number theory. The heart of the book is a thorough introduction to elementary prime number theory, including Dirichlet's theorem on primes in arithmetic progressions, the Brun sieve, and the Erdos-Selberg proof of the prime number theorem. Rather than trying to present a comprehensive treatise, Pollack focuses on topics that are particularly attractive and accessible. Other topics covered include Gauss's theory of cyclotomy and its applications to rational reciprocity laws, Hilbert's solution to Waring's problem, and modern work on perfect numbers. The nature of the material means that little is required in terms of prerequisites: The reader is expected to have prior familiarity with number theory at the level of an undergraduate course and a first course in modern algebra (covering groups, rings, and fields). The exposition is complemented by over 200 exercises and 400 references.
Author: Paul Pollack Publisher: American Mathematical Soc. ISBN: 0821848801 Category : Mathematics Languages : en Pages : 322
Book Description
Number theory is one of the few areas of mathematics where problems of substantial interest can be fully described to someone with minimal mathematical background. Solving such problems sometimes requires difficult and deep methods. But this is not a universal phenomenon; many engaging problems can be successfully attacked with little more than one's mathematical bare hands. In this case one says that the problem can be solved in an elementary way. Such elementary methods and the problems to which they apply are the subject of this book. Not Always Buried Deep is designed to be read and enjoyed by those who wish to explore elementary methods in modern number theory. The heart of the book is a thorough introduction to elementary prime number theory, including Dirichlet's theorem on primes in arithmetic progressions, the Brun sieve, and the Erdos-Selberg proof of the prime number theorem. Rather than trying to present a comprehensive treatise, Pollack focuses on topics that are particularly attractive and accessible. Other topics covered include Gauss's theory of cyclotomy and its applications to rational reciprocity laws, Hilbert's solution to Waring's problem, and modern work on perfect numbers. The nature of the material means that little is required in terms of prerequisites: The reader is expected to have prior familiarity with number theory at the level of an undergraduate course and a first course in modern algebra (covering groups, rings, and fields). The exposition is complemented by over 200 exercises and 400 references.
Author: Max Allan Collins Publisher: Simon and Schuster ISBN: 1416524614 Category : Fiction Languages : en Pages : 321
Book Description
An original novel based on Fox's new hit television series, inspired by real-life forensic anthropologist and novelist Kathy Reichs, creator of the Temperance Brennan series. Original.
Author: Susan Wilkins Publisher: Bookouture ISBN: 183888517X Category : Fiction Languages : en Pages : 377
Book Description
‘Compulsive and thoroughly captivating… I found myself unable to tear myself away and as a consequence read it all in a single tense sitting… bags of suspense and action wrapped up in a thrillingly plotted story’ Reader’s Retreat, ⭐⭐⭐⭐⭐ On the first day in her new job, Detective Megan Thomas is called to a murder. The body lies deep in an underground bunker, in the middle of beautiful countryside. The two women in the nearest house claim to have no idea who it could be or who could have put it there. So why are they so nervous? And why does Noah, the young child living there, talk about a visitor he’s meant to keep secret? Megan is determined to solve the case. She’s moved to Devon for a fresh start, after years spent undercover. But when she looks at the victim, it triggers a panic attack. As her heart races and her breathing stalls, she’s forced to ask whether she can return to life in a regular crime unit. Her memories are too powerful to be buried, maybe too powerful to let her do her job. But the need to find justice for the unnamed victim still drives her. When another body is found on the stretch of beach where she swims every day, Megan realises that she is up against a truly vicious killer. Then Noah goes missing, and Megan finds herself in a race against time to save an innocent life. She won’t rest until she finds answers – no matter what it might cost her. A completely gripping new series from bestselling author Susan Wilkins, introducing the tough and determined Detective Megan Thomas. For fans of Ann Cleeves, LJ Ross and Mari Hannah, this will keep you hooked from the first page to the last. What readers are saying about Buried Deep: ‘My favourite read of 2020… I was engaged from the very first chapter… Brilliant’ Goodreads Reviewer, ⭐⭐⭐⭐⭐ ‘Extremely compulsive… my attention didn’t waver for a second and I read it in one sitting… keeps the interest and tension going with timely reveals, unexpected developments and a clever plot’ Goodreads Reviewer, ⭐⭐⭐⭐⭐ ‘I loved the book and was gripped straight from the off. Susan’s a great writer, building up the tension nicely and giving a thumping action-packed ending that really delivers.’ Jessie Keane, author of The Knock ‘Addictive, gripping, twisty… how this story unfolds is just brilliant’ Goodreads Reviewer, ⭐⭐⭐⭐⭐ ‘Thrilling… will have you gripped and enthralled right from the beginning… an addictive read’ Once Upon A Time Book Blog ‘One of the best… compelling… I loved this book.’ Nigeladamsbookworm, ⭐⭐⭐⭐⭐ ‘I loved Buried Deep… a gripping plot that had me frantically flipping pages… If you haven't yet read this, you need to. An excellent start to a series that promises to be brilliant.’ Sandy’s Book A Day ‘Loved this… if you like Vera you will love this book. Brilliant’ Goodreads Reviewer, ⭐⭐⭐⭐⭐ ‘Brilliant… had me hooked from the beginning’ Goodreads Reviewer, ⭐⭐⭐⭐⭐ ‘Brilliant book in my opinion! I want to read more and dive into Megan's past… She fascinates me. 5 stars.’ B for Bookreview, ⭐⭐⭐⭐⭐ ‘A terrific start to what promises to be an excellent new police procedural series’ Goodreads Reviewer, ⭐⭐⭐⭐⭐ ‘Gripping… twists and turns and plenty of suspicious characters… Looking forward to reading more’ Goodreads Reviewer ‘A suspenseful fast paced thriller’ Goodreads Reviewer, ⭐⭐⭐⭐⭐ ‘Murders, intricate plot, red herrings and twisted reveals… I knew I had a winner in my hands’ Shalini’s Books & Reviews ‘Full of action and suspense… hard to put down. Couldn't wait to find out what happened… Amazing.’ Goodreads Reviewer, ⭐⭐⭐⭐⭐
Author: Paul Pollack Publisher: American Mathematical Soc. ISBN: 1470436531 Category : Algebraic number theory Languages : en Pages : 312
Book Description
Gauss famously referred to mathematics as the “queen of the sciences” and to number theory as the “queen of mathematics”. This book is an introduction to algebraic number theory, meaning the study of arithmetic in finite extensions of the rational number field Q . Originating in the work of Gauss, the foundations of modern algebraic number theory are due to Dirichlet, Dedekind, Kronecker, Kummer, and others. This book lays out basic results, including the three “fundamental theorems”: unique factorization of ideals, finiteness of the class number, and Dirichlet's unit theorem. While these theorems are by now quite classical, both the text and the exercises allude frequently to more recent developments. In addition to traversing the main highways, the book reveals some remarkable vistas by exploring scenic side roads. Several topics appear that are not present in the usual introductory texts. One example is the inclusion of an extensive discussion of the theory of elasticity, which provides a precise way of measuring the failure of unique factorization. The book is based on the author's notes from a course delivered at the University of Georgia; pains have been taken to preserve the conversational style of the original lectures.
Author: Kazuo Ishiguro Publisher: Vintage ISBN: 0385353227 Category : Fiction Languages : en Pages : 283
Book Description
NATIONAL BESTSELLER • From the winner of the Nobel Prize in Literature and author of Never Let Me Go and the Booker Prize–winning novel The Remains of the Day comes a luminous meditation on the act of forgetting and the power of memory. In post-Arthurian Britain, the wars that once raged between the Saxons and the Britons have finally ceased. Axl and Beatrice, an elderly British couple, set off to visit their son, whom they haven't seen in years. And, because a strange mist has caused mass amnesia throughout the land, they can scarcely remember anything about him. As they are joined on their journey by a Saxon warrior, his orphan charge, and an illustrious knight, Axl and Beatrice slowly begin to remember the dark and troubled past they all share. By turns savage, suspenseful, and intensely moving, The Buried Giant is a luminous meditation on the act of forgetting and the power of memory.
Author: Prepress Staff Publisher: Olympus Publishing ISBN: 0911207023 Category : Body, Mind & Spirit Languages : en Pages : 299
Book Description
Karol Truman provides a comprehensive and enlightening resource for getting in touch with unresolved feelings which, she explains, can distort not only happiness but also health and well-being. Leaving no emotion unnamed, and in fact listing around 750 labels for feelings, Truman helps identify problem areas, and offers a "script" to help process the feelings, replacing the negative feeling with a new, positive outlook. A chapter on the possible emotions below the surface in various physical ailments gives the reader plenty to work with on a deep healing level. FEELINGS BURIED ALIVE NEVER DIE combines a supportive, common-sense, results-oriented approach to a problem that is widespread and that can stop people from living fully.
Author: Ian Stewart Publisher: Springer ISBN: 9780412138409 Category : Science Languages : en Pages : 257
Book Description
The title of this book may be read in two ways. One is 'algebraic number-theory', that is, the theory of numbers viewed algebraically; the other, 'algebraic-number theory', the study of algebraic numbers. Both readings are compatible with our aims, and both are perhaps misleading. Misleading, because a proper coverage of either topic would require more space than is available, and demand more of the reader than we wish to; compatible, because our aim is to illustrate how some of the basic notions of the theory of algebraic numbers may be applied to problems in number theory. Algebra is an easy subject to compartmentalize, with topics such as 'groups', 'rings' or 'modules' being taught in comparative isolation. Many students view it this way. While it would be easy to exaggerate this tendency, it is not an especially desirable one. The leading mathematicians of the nineteenth and early twentieth centuries developed and used most of the basic results and techniques of linear algebra for perhaps a hundred years, without ever defining an abstract vector space: nor is there anything to suggest that they suf fered thereby. This historical fact may indicate that abstrac tion is not always as necessary as one commonly imagines; on the other hand the axiomatization of mathematics has led to enormous organizational and conceptual gains.
Author: Neil Swidey Publisher: Crown ISBN: 0307886735 Category : History Languages : en Pages : 434
Book Description
The harrowing story of five men who were sent into a dark, airless, miles-long tunnel, hundreds of feet below the ocean, to do a nearly impossible job—with deadly results A quarter-century ago, Boston had the dirtiest harbor in America. The city had been dumping sewage into it for generations, coating the seafloor with a layer of “black mayonnaise.” Fisheries collapsed, wildlife fled, and locals referred to floating tampon applicators as “beach whistles.” In the 1990s, work began on a state-of-the-art treatment plant and a 10-mile-long tunnel—its endpoint stretching farther from civilization than the earth’s deepest ocean trench—to carry waste out of the harbor. With this impressive feat of engineering, Boston was poised to show the country how to rebound from environmental ruin. But when bad decisions and clashing corporations endangered the project, a team of commercial divers was sent on a perilous mission to rescue the stymied cleanup effort. Five divers went in; not all of them came out alive. Drawing on hundreds of interviews and thousands of documents collected over five years of reporting, award-winning writer Neil Swidey takes us deep into the lives of the divers, engineers, politicians, lawyers, and investigators involved in the tragedy and its aftermath, creating a taut, action-packed narrative. The climax comes just after the hard-partying DJ Gillis and his friend Billy Juse trade assignments as they head into the tunnel, sentencing one of them to death. An intimate portrait of the wreckage left in the wake of lives lost, the book—which Dennis Lehane calls "extraordinary" and compares with The Perfect Storm—is also a morality tale. What is the true cost of these large-scale construction projects, as designers and builders, emboldened by new technology and pressured to address a growing population’s rapacious needs, push the limits of the possible? This is a story about human risk—how it is calculated, discounted, and transferred—and the institutional failures that can lead to catastrophe. Suspenseful yet humane, Trapped Under the Sea reminds us that behind every bridge, tower, and tunnel—behind the infrastructure that makes modern life possible—lies unsung bravery and extraordinary sacrifice.
Author: Jacqueline Wilson Publisher: Random House ISBN: 1407046241 Category : Juvenile Fiction Languages : en Pages : 160
Book Description
Tim can't wait to go on holiday - especially as he gets to bring his friend Biscuits along. But their trip unexpectedly becomes truly, terribly adventurous when an encounter with two local bully-boys threatens to disrupt the fun. Narrated by Tim and interspersed with revealing, illustrated extracts from Tim and Biscuits's holiday diaries, this is a wondefully enjoyable story from one of the most popular writers around that both girls and boys will love.
Author: John McPhee Publisher: Farrar, Straus and Giroux ISBN: 0374708460 Category : Science Languages : en Pages : 448
Book Description
The Pulitzer Prize-winning view of the continent, across the fortieth parallel and down through 4.6 billion years Twenty years ago, when John McPhee began his journeys back and forth across the United States, he planned to describe a cross section of North America at about the fortieth parallel and, in the process, come to an understanding not only of the science but of the style of the geologists he traveled with. The structure of the book never changed, but its breadth caused him to complete it in stages, under the overall title Annals of the Former World. Like the terrain it covers, Annals of the Former World tells a multilayered tale, and the reader may choose one of many paths through it. As clearly and succinctly written as it is profoundly informed, this is our finest popular survey of geology and a masterpiece of modern nonfiction. Annals of the Former World is the winner of the 1999 Pulitzer Prize for Nonfiction.
Author: Paul Pollack
Author: Paul Pollack
Author: Max Allan Collins
Author: Susan Wilkins
Author: Paul Pollack
Author: Kazuo Ishiguro
Author: Prepress Staff
Author: Ian Stewart
Author: Neil Swidey
Author: Jacqueline Wilson
Author: John McPhee