Main Category: Mathematics >> Sub Category: Number Systems
Algorithmic number Theory

This book constitutes the refereed proceedings of the 6th International Algorithmic Number Theory Symposium, ANTS 2004, held in Burlington, VT, USA, in June 2004.The 30 revised full papers presented together with 3 invited papers were carefully reviewed and selected for inclusion in the book. Among the topics addressed are zeta functions, elliptic curves, hyperelliptic curves, GCD algorithms, number field computations, complexity, primality testing, Weil and Tate pairings, cryptographic algorithms, function field sieve, algebraic function field mapping, quartic fields, cubic number fields, lattices, discrete logarithms, and public key cryptosystems.     

Author Name :S. Arun Kumar

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Fundamental Number Theory with Applications, Second Edition

An update of the most accessible introductory number theory text available, Fundamental Number Theory with Applications, Second Edition presents a mathematically rigorous yet easy-to-follow treatment of the fundamentals and applications of the subject. The substantial amount of reorganizing makes this edition clearer and more elementary in its coverage.Taking a truly elementary approach to number theory, this text supplies the essential material for a first course on the subject. Placed in highlighted boxes to reduce distraction from the main text, nearly 70 biographies focus on major contributors to the field. The presentation of over 1,300 entries in the index maximizes cross-referencing so students can find data with ease.     

Author Name :Richard A. Mollin

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Glimpses of Algebra and Geometry

The purpose of Glimpses of Algebra and Geometry is to fill a gap between undergraduate and graduate mathematics studies. It is one of the few undergraduate texts to explore the subtle and sometimes puzzling connections between number theory, classical geometry and modern algebra in a clear and easily understandable style. Over 160 computer-generated images, accessible to readers via the World Wide Web, facilitate an understanding of mathematical concepts and proofs even further.     

Author Name :Gabor Toth

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Three Pearls of Number Theory

Three diverting puzzles involve the proof of a basic law governing the world of numbers known to be correct in all tested casesthe problem is to prove that the law is always correct. The challenges concern van der Waerdens theorem on arithmetic progressions, the Landau-Schnirelmann hypothesis and Manns theorem, and a solution to Warings problem. Proofs and explanations of the answers included.     

Author Name :A. Y. Khinchin

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An Introduction to Number Theory

Includes up-to-date material on recent developments and topics of significant interest, such as elliptic functions and the new primality test.Selects material from both the algebraic and analytic disciplines, presenting several different proofs of a single result to illustrate the differing viewpoints and give good insight.     

Author Name :Graham Everest,Thomas Ward

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