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Not Always Buried Deep

2009-10-14 Mathematics
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Release : 2009-10-14
Genre : Mathematics
Kind : eBook
Book Rating : 801/5 ( reviews)

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Book Synopsis Not Always Buried Deep by : Paul Pollack

Download or read book Not Always Buried Deep written by Paul Pollack. This book was released on 2009-10-14. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Bones

2006-03 Fiction
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Release : 2006-03
Genre : Fiction
Kind : eBook
Book Rating : 614/5 ( reviews)

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Book Synopsis Bones by : Max Allan Collins

Download or read book Bones written by Max Allan Collins. This book was released on 2006-03. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Feelings Buried Alive Never Die

2014-02-01 Body, Mind & Spirit
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Release : 2014-02-01
Genre : Body, Mind & Spirit
Kind : eBook
Book Rating : 023/5 ( reviews)

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Book Synopsis Feelings Buried Alive Never Die by : Prepress Staff

Download or read book Feelings Buried Alive Never Die written by Prepress Staff. This book was released on 2014-02-01. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A Conversational Introduction to Algebraic Number Theory

2017-08-01 Mathematics
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Release : 2017-08-01
Genre : Mathematics
Kind : eBook
Book Rating : 531/5 ( reviews)

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Book Synopsis A Conversational Introduction to Algebraic Number Theory by : Paul Pollack

Download or read book A Conversational Introduction to Algebraic Number Theory written by Paul Pollack. This book was released on 2017-08-01. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Buried Giant

2015-03-03 Fiction
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Release : 2015-03-03
Genre : Fiction
Kind : eBook
Book Rating : 227/5 ( reviews)

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Book Synopsis The Buried Giant by : Kazuo Ishiguro

Download or read book The Buried Giant written by Kazuo Ishiguro. This book was released on 2015-03-03. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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