Advances in the Theory of Numbers, Ay?e Alaca; ?aban Alaca; Kenneth S. Williams

Автор: Higgins Peter M.
Название: Numbers: A Very Short Introduction
ISBN: 0199584052 ISBN-13(EAN): 9780199584055
Издательство: Oxford Education
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Описание: In this Very Short Introduction Peter M. Higgins presents an overview of the number types featured in modern science and mathematics. Providing a non-technical account, he explores the evolution of the modern number system, examines the fascinating role of primes, and explains their role in contemporary cryptography.

Автор: Trifkovic Mak
Название: Algebraic Theory of Quadratic Numbers
ISBN: 1461477166 ISBN-13(EAN): 9781461477167
Издательство: Springer
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Описание: This book shows the techniques of elementary arithmetic, ring theory and linear algebra working together to prove important theorems, such as the unique factorization of ideals and the finiteness of the ideal class group. Includes numerous exercises.

Название: Topics in the Theory of Numbers
ISBN: 1461265452 ISBN-13(EAN): 9781461265450
Издательство: Springer
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Описание: Number theory, the branch of mathematics that studies the properties of the integers, is a repository of interesting and quite varied problems, sometimes impossibly difficult ones.

Автор: Andreescu Titu
Название: Complex Numbers from A to Z
ISBN: 081768414X ISBN-13(EAN): 9780817684143
Издательство: Springer
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Описание: Complex Numbers from A to ... Z

Автор: Paulo Ribenboim
Название: Classical Theory of Algebraic Numbers
ISBN: 1441928707 ISBN-13(EAN): 9781441928702
Издательство: Springer
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Описание: This book has a clear and thorough exposition of the classical theory of algebraic numbers, and contains a large number of exercises as well as worked out numerical examples. The introduction is a recapitulation of results about principal ideal domains, unique factorization domains and commutative fields. Part one is devoted to residue classes and quadratic residues. In part two one finds the study of algebraic integers, ideals, units, class numbers, the theory of decomposition, inertia and ramification of ideals. part three is devoted to Kummers theory of cyclotomic fields, and includes Bernoulli numbers and the proof of Fermats Last Theorem for regular prime exponents. Finally, in part four, the emphasis is on analytical methods and it includes Dirichlets Theorem on primes in arithmetic progressions, the theorem of Chebotarev and class number formulas. A careful study of this book will provide a solid background to the learning of more recent topics, as suggested at the end of the book.