An Invitation to Algebraic Numbers and Algebraic Functions, Halter-Koch, Franz

Автор: Watrous, John (university Of Waterloo, Ontario)
Название: The theory of quantum information
ISBN: 1107180562 ISBN-13(EAN): 9781107180567
Издательство: Cambridge Academ
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Цена: 11563.00 р.
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Описание: Intended for graduate students and researchers, this book presents a formal development of the mathematical theory of quantum information. Largely self-contained, with clear proofs and a wide range of exercises, it will help the reader grasp the fundamental facts and techniques that form the mathematical foundations of the subject.

Автор: Tretkoff, Paula B.
Название: Periods and special functions in transcendence
ISBN: 1786342944 ISBN-13(EAN): 9781786342942
Издательство: World Scientific Publishing
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Цена: 12830.00 р.
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Описание: 'The book is mainly addressed to the non-expert reader, in that it assumes only a little background in complex analysis and algebraic geometry, but no previous knowledge in transcendental number theory is required. The technical language is introduced smoothly, and illustrative examples are provided where appropriate ... The book is carefully written, and the relevant literature is provided in the list of references. 'Mathematical Reviews ClippingsThis book gives an introduction to some central results in transcendental number theory with application to periods and special values of modular and hypergeometric functions. It also includes related results on Calabi-Yau manifolds. Most of the material is based on the author's own research and appears for the first time in book form. It is presented with minimal of technical language and no background in number theory is needed. In addition, except the last chapter, all chapters include exercises suitable for graduate students. It is a nice book for graduate students and researchers interested in transcendence.

Автор: Wladyslaw Narkiewicz
Название: Elementary and Analytic Theory of Algebraic Numbers
ISBN: 3642060102 ISBN-13(EAN): 9783642060106
Издательство: Springer
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Цена: 18161.00 р.
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Описание: The aim of this book is to present an exposition of the theory of alge- braic numbers, excluding class-field theory and its consequences. There are many ways to develop this subject; the latest trend is to neglect the classical Dedekind theory of ideals in favour of local methods. However, for numeri- cal computations, necessary for applications of algebraic numbers to other areas of number theory, the old approach seems more suitable, although its exposition is obviously longer. On the other hand the local approach is more powerful for analytical purposes, as demonstrated in Tate's thesis. Thus the author has tried to reconcile the two approaches, presenting a self-contained exposition of the classical standpoint in the first four chapters, and then turning to local methods. In the first chapter we present the necessary tools from the theory of Dedekind domains and valuation theory, including the structure of finitely generated modules over Dedekind domains. In Chapters 2, 3 and 4 the clas- sical theory of algebraic numbers is developed. Chapter 5 contains the fun- damental notions of the theory of p-adic fields, and Chapter 6 brings their applications to the study of algebraic number fields. We include here Shafare- vich's proof of the Kronecker-Weber theorem, and also the main properties of adeles and ideles.

Автор: Halter-Koch, Franz
Название: An Invitation To Algebraic Numbers And Algebraic Functions
ISBN: 1138583618 ISBN-13(EAN): 9781138583610
Издательство: Taylor&Francis
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Цена: 17609.00 р.
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Описание: Through a set of related yet distinct texts, the author offers a thorough presentation of the classical theory of algebraic numbers and algebraic functions: Ideal- and valuation-theoretic aspects, L functions and class field theory, together with a presentation of algebraic foundations which are usually undersized in standard algebra courses.

Автор: Trifkovic Mak
Название: Algebraic Theory of Quadratic Numbers
ISBN: 1461477166 ISBN-13(EAN): 9781461477167
Издательство: Springer
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Цена: 8384.00 р.
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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.