Number Theory


"Number Theory"

An Introduction Via the Distribution of Primes

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Provides an introduction and overview of number theory based on the distribution and properties of primes. Intended for upper level undergraduates and beginning graduate students, this book introduces the necessary concepts from abstract algebra and complex analysis. With 1. Paperback, 364 pages. Size: 234 x 156 mm. Weight: 508g.
Author:  Fine, Benjamin Rosenberger, Gerhard
ISBN:  0817644725
Publisher:  Birkhauser Boston
Date:  2006  (Germany)
Readership:  Undergraduate Number Theory

"Prime-Detecting Sieves"

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"London Mathematical Society Monographs" series; Seeks to describe the development in recent decades of sieve methods able to detect prime numbers. This work covers topics such as; primes in short intervals, the greatest prime factor of the sequence of shifted primes, Goldbach numbers in short intervals, the distribution of Gaussian primes, and the recent work of John Friedlander, and Iwaniec. With 10 line illus. 9 tables.. Hardback, 378 pages. Size: 229 x 152 mm. Weight: 655g.
Author:  Harman, G.
ISBN:  069112437X
Publisher:  University Presses of California, Columbia and Princeton
Date:  2007  (United States)
Readership:  Professional & Vocational Number Theory

"An Invitation to the Mathematics of Fermat-Wiles"

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Presents diverse concepts required to comprehend Fermat-Wiles' extraordinary proof. Placing these concepts in their historical context, this book contains several themes that could be developed by student research and numerous exercises and problems. With illustrations. Hardback, 400 pages. Size: 244 x 169 mm. Weight: 900g.
Author:  Hellegouarch, Yves
ISBN:  0123392519
Publisher:  Elsevier Science & Technology
Date:  2001  (United States)
Readership:  Professional & Vocational Number Theory

"The Theory of Algebraic Number Fields"

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Hardback, 386 pages. Size: 234 x 156 mm. Weight: 703g.
Author:  Hilbert, David
ISBN:  3540627790
Publisher:  Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Date:  2004  (Germany)
Readership:  Professional & Vocational Number Theory

"A Classical Introduction to Modern Number Theory"

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"Graduate Texts in Mathematics" series; Contains two chapters, which provide a proof of the Mordel-Weil theorem for elliptic curves over the rational numbers, and an overview of the progress on the arithmetic of elliptic curves. 2 rev ed. Hardback, 403 pages. Size: 234 x 156 mm. Weight: 726g.
Author:  Ireland, Kenneth F. Rosen, Michael
ISBN:  038797329X
Publisher:  Springer-Verlag New York Inc.
Date:  1998  (United States)
Readership:  Professional & Vocational Number Theory

"The Prime Number Theorem"

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"London Mathematical Society Student Texts" series; This textbook demonstrates how the tools of analysis can be used in number theory to attack a famous problem. With 1 line figure. Paperback, 264 pages. Size: 228 x 152 mm. Weight: 360g.
Author:  Jameson, G.J.O.
ISBN:  0521891108
Publisher:  Cambridge University Press
Date:  2003  (United States)
Readership:  Professional & Vocational Number Theory

"Moments, Monodromy and Perversity"

A Diophantine Perspective

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"Annals of Mathematics Studies" series; Develops techniques based on two ingredients: the theory of perverse sheaves and Larsen's Alternative. These techniques are then used to calculate the geometric monodromy groups attached to some specific universal families of (L-functions attached to) character sums over finite fields. Paperback, 448 pages. Size: 254 x 178 mm. Weight: 816g.
Author:  Katz, Nicholas M.
ISBN:  0691123306
Publisher:  University Presses of California, Columbia and Princeton
Date:  2005  (United States)
Readership:  Professional & Vocational Number Theory

"A Course in Number Theory and Cryptography"

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"Graduate Texts in Mathematics" series; Aims to introduce the reader to arithmetic topics, both ancient and modern, at the center of interest in applications of number theory, particularly in cryptography. The approach taken is algorithmic, emphasizing estimates of the efficiency of the techniques that arise from the theory. With 6 illus.. 2 rev ed. Hardback, 245 pages. Size: 230 x 160 mm. Weight: 478g.
Author:  Koblitz, Neal
ISBN:  0387942939
Publisher:  Springer-Verlag New York Inc.
Date:  1994  (United States)
Readership:  Professional & Vocational Number Theory

"Non-Uni Fac Alg Com and Ana Thy"

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"Pure and Applied Mathematics" series; Presents the knowledge on the theory of non-unique factorizations and discusses its algebraic, combinatorial, and analytic fundamentals. This book focuses on factorization properties in rings of integers, orders of algebraic number fields, holomorphy rings, Krull and Mori domains, Krull monoids, congruence monoids, and Hilbert monoids. With 7 black & white illustrations. Hardback, 728 pages. Size: 263 x 184 mm. Weight: 1426g.
Author:  Koch Gerold
ISBN:  1584885769
Publisher:  Taylor & Francis Ltd
Date:  2006  (United States)
Readership:  Professional & Vocational Number Theory

"Elementary Number Theory With Applications"

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Includes sections on topics like Catalan numbers and their relationship to Pascal's triangle and Mersenne numbers, Pollard rho factorization method, Hoggatt-Hensell identity. This title covers crucial applications of theory like computer security, ISBNs, ZIP codes, and UPC bar codes. With illustrated. 2 rev ed. Hardback, 800 pages. Size: 235 x 191 mm. Weight: 1367g.
Author:  Koshy, Thomas
ISBN:  0123724872
Publisher:  Elsevier Science & Technology
Date:  2007  (United Kingdom)
Readership:  Tertiary Education (Us: College) Number Theory

"The Large Sieve and Its Applications"

Arithmetic Geometry, Random Walks and Discrete Groups

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"Cambridge Tracts in Mathematics" series; Explains new applications of the 'large sieve', an important tool of analytic number theory, presenting potential uses beyond this area. With 10 line figures 9 tables 14 exercises 13 worked examples. Hardback, 316 pages. Size: 234 x 159 mm. Weight: 641g.
Author:  Kowalski, Emmanuel
ISBN:  0521888514
Publisher:  Cambridge University Press
Date:  2008  (United Kingdom)
Readership:  Professional & Vocational Number Theory

"Fundamentals of Number Theory"

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With 15ill.. New ed. Paperback, 288 pages. Size: 209 x 141 mm. Weight: 294g.
Author:  Leveque, William J.
ISBN:  0486689069
Publisher:  Dover Publications Inc.
Date:  2003  (United States)
Readership:  General (Us: Trade) Number Theory

"Exploring Numerical Methods"

An Introduction to Scientific Computing

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Linz's and Wang's (both U. of California at Davis) textbook is for use in an undergraduate introductory, one-year course in numerical analysis. The text uses MATLAB for the implementation of methods and algorithms. A free license to NASOFT, student-friendly software created by the authors, comes with the text. Annotation (c) Book News, Inc., With illustrations. Hardback, 384 pages. Size: 242 x 196 mm. Weight: 1068g.
Author:  Linz, Peter
ISBN:  0763714992
Publisher:  Jones and Bartlett Publishers, Inc
Date:  2002  (United States)
Readership:  Professional & Vocational Number Theory

"E, the Story of a Number"

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The interest earned on a bank account, the arrangement of seeds in a sun flower, and the shape of the Gateway Arch in St. Louis are all intimately connected with the mysterious number e. In this history, Eli Maor portrays the characters and the elegant mathematics that lie behind the number. With 6 halftones 74 line illus.. New ed. Paperback, 232 pages. Size: 229 x 152 mm. Weight: 344g.
Author:  Maor, Eli
ISBN:  0691058547
Publisher:  University Presses of California, Columbia and Princeton
Date:  1998  (United States)
Readership:  General (Us: Trade) Number Theory

"Number Theory Through Inquiry"

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"Mathematical Association of America Textbooks" series; An innovative textbook that leads students on a carefully guided discovery of introductory number theory. With 2 tables 105 exercises 3 worked examples. Hardback, 150 pages. Size: 235 x 157 mm. Weight: 340g.
Author:  Marshall, David C. Odell, Edward (Senior Lecturer, United Medical and Dental Schools, Guy's and St Thomas's Hospitals, London) Starbird, Michael
ISBN:  0883857510
Publisher:  Mathematical Association of America
Date:  2008  (United States)
Readership:  Professional & Vocational Number Theory

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