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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: Sarah Ockler Publisher: Two Gnomes Media ISBN: Category : Young Adult Fiction Languages : en Pages : 270
Book Description
"We all long for what could have been." Things in Delilah Hannaford's life have a tendency to fall apart. She used to be a good student, but she can't seem to keep it together anymore. Her "boyfriend" isn't much of a boyfriend. And her mother refuses to discuss the fight that divided their family eight years ago. Falling apart, it seems, is a Hannaford tradition. Over a summer of new friendships, unexpected romance, and moments that test the complex bonds between mothers and daughters, Delilah must face her family's painful past. Can even her most shattered relationships be pieced back together again?
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 : 273
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: Paul Pollack Publisher: American Mathematical Soc. ISBN: 1470436531 Category : Mathematics Languages : en Pages : 329
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: Jono Lancaster Publisher: Random House ISBN: 1529192277 Category : Biography & Autobiography Languages : en Pages : 136
Book Description
'An extraordinary story of transformation and inner strength' - KATIE PIPER 'Well worth reading: a tale of real heroism and obstacles overcome' - THE MAIL ON SUNDAY 'Truly remarkable and so helpful' - FEARNE COTTON 'Finding self-acceptance hasn't always been easy. I was abandoned at birth with a facial difference, and as I got older, I began to hate my face and the world I lived in. Gradually, through trial and error, random moments with strangers, and some tragic haircuts, I've found self-love and happiness. This book is the story of how I found my way out of difficult times, and how you can do the same.' Jono Lancaster was born with Treacher Collins Syndrome - a condition that affects facial appearence - and at only two weeks old, he found himself in foster care. In his remarkable story, Jono shares the highs and lows of his journey and how he turned his differences into his greatest strengths. Inspirational, empowering and moving - this is an extraordinary memoir with a powerful message: you are strong enough to become your own hero. (Cape optional.)
Author: Paul Pollack
Author: Paul Pollack
Author: Max Allan Collins
Author: Sarah Ockler
Author: Kazuo Ishiguro
Author: Prepress Staff
Author: Paul Pollack
Author: William Tebb
Author: Jono Lancaster
Author: Aleksi︠e︡ĭ Vladimīrovich Fon-Shvart︠s︡
Author: United States. War Dept. War Plans Division