Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Not Always Buried Deep PDF full book. Access full book title Not Always Buried Deep by Paul Pollack. Download full books in PDF and EPUB format.
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: 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: 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: 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: 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: Valerie Gilpeer Publisher: HarperCollins ISBN: 0062984365 Category : Family & Relationships Languages : en Pages : 272
Book Description
A remarkable memoir by a mother and her autistic daughter who’d long been unable to communicate—until a miraculous breakthrough revealed a young woman with a rich and creative interior life, a poet, who’d been trapped inside for more than two decades. “I have been buried under years of dust and now I have so much to say.” These were the first words twenty-five-year-old Emily Grodin ever wrote. Born with nonverbal autism, Emily’s only means of communicating for a quarter of a century had been only one-word responses or physical gestures. That Emily was intelligent had never been in question—from an early age she’d shown clear signs that she understood what was going on though she could not express herself. Her parents, Valerie and Tom, sought every therapy possible in the hope that Emily would one day be able to reveal herself. When this miraculous breakthrough occurred, Emily was finally able to give insight into the life, frustrations, and joys of a person with autism. She could tell her parents what her younger years had been like and reveal all the emotions and intelligence residing within her; she became their guide into the autistic experience. Told by Valerie, with insights and stories and poetry from Emily, I Have Been Buried Under Years of Dust highlights key moments of Emily’s childhood that led to her communication awakening—and how her ability rapidly accelerated after she wrote that first sentence. As Valerie tells her family’s story, she shares the knowledge she’s gained from working as a legal advocate for families affected by autism and other neurological disorders. A story of unconditional love, faith in the face of difficulty, and the grace of perseverance and acceptance, I Have Been Buried Under Years of Dust is an evocative and affecting mother-daughter memoir of learning to see each other for who they are.
Author: Todd Henry Publisher: Penguin ISBN: 1591846994 Category : Business & Economics Languages : en Pages : 242
Book Description
“A must-read for anyone interested in moving from inspiration to action.” —Cal Newport, author of So Good They Can’t Ignore You Most of us fill our days with frantic activity, bouncing from task to task, scrambling to make deadlines and chase the next promotion. But by the end of each day we’re often left wondering if any of it really mattered. We feel the ticking of the clock, but we’re unsure of the path forward. Die Empty is a tool for people who aren’t willing to put off their most important work for another day. Todd Henry explains the forces that lead to stagnation and introduces practices that will keep you on a true and steady course. The key is embracing the idea that time is finite, so you should focus on the unique contribution to the world that only you can make. Henry shows how to sustain your enthusiasm, push through mental barriers, and unleash your best work each day.
Author: Tami Hoag Publisher: Penguin ISBN: 0593473345 Category : Fiction Languages : en Pages : 433
Book Description
A serial killer terrorizes a small California town in this gripping thriller from #1 New York Times bestselling author Tami Hoag. California, 1985—Four children and young teacher Anne Navarre make a gruesome discovery: a partially buried female body, her eyes and mouth glued shut. A serial killer is at large, and the very bonds that hold their idyllic town together are about to be tested to the breaking point. Tasked with finding the killer, FBI investigator Vince Leone employs a new and controversial FBI technique called “profiling,” which plunges him into the lives of the four children—and the young teacher whose need to uncover the truth is as intense as his own. But as new victims are found and pressure from the media grows, Vince and Anne find themselves circling the same small group of local suspects, unsure if those who suffer most are the victims themselves—or those close to the killer, blissfully unaware that someone very near to them is a murderous psychopath…
Author: Paul Pollack
Author: Paul Pollack
Author: Max Allan Collins
Author: Paul Pollack
Author: Kazuo Ishiguro
Author: Ian Stewart
Author: Prepress Staff
Author: Jacqueline Wilson
Author: Valerie Gilpeer
Author: Todd Henry
Author: Tami Hoag