Elementary and Analytic Theory of Algebraic Numbers, Wladyslaw Narkiewicz

Автор: Godsil Chris, Royle Gordon F.
Название: Algebraic Graph Theory
ISBN: 0387952411 ISBN-13(EAN): 9780387952413
Издательство: Springer
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Цена: 11313.00 р.
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Описание: Algebraic graph theory is a combination of two strands. The first is the study of algebraic objects associated with graphs. The second is the use of tools from algebra to derive properties of graphs. This work illustrates the main tools and ideas of algebraic graph theory.

Автор: Godsil Chris, Royle Gordon
Название: Algebraic graph theory
ISBN: 0387952209 ISBN-13(EAN): 9780387952208
Издательство: Springer
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Цена: 5583.00 р.
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Описание: This book is primarily aimed at graduate students and researchers in graph theory, combinatorics, or discrete mathematics in general. However, all the necessary graph theory is developed from scratch, so the only pre-requisite for reading it is a first course in linear algebra and a small amount of elementary group theory. It should be accessible to motivated upper-level undergraduates.

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.

Автор: Paulo Ribenboim
Название: Classical Theory of Algebraic Numbers
ISBN: 1441928707 ISBN-13(EAN): 9781441928702
Издательство: Springer
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Цена: 10480.00 р.
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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.

Автор: P?l D?m?si
Название: Algebraic Theory of Automata Networks
ISBN: 0898715695 ISBN-13(EAN): 9780898715699
Издательство: Mare Nostrum (Eurospan)
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Цена: 13919.00 р.
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Описание: Algebraic Theory of Automata Networks investigates automata networks as algebraic structures and develops their theory in line with other algebraic theories. Automata networks are investigated as products of automata, and the fundamental results in regard to automata networks are surveyed and extended, including the main decomposition theorems of Letichevsky, and of Krohn and Rhodes. The text summarizes the most important results of the past four decades regarding automata networks and presents many new results discovered since the last book on this subject was published. Several new methods and special techniques are discussed, including characterization of homomorphically complete classes of automata under the cascade product; products of automata with semi-Letichevsky criterion and without any Letichevsky criteria; automata with control words; primitive products and temporal products; network completeness for digraphs having all loop edges; complete finite automata network graphs with minimal number of edges; and emulation of automata networks by corresponding asynchronous ones.

Автор: H. P. F. Swinnerton-Dyer
Название: A Brief Guide to Algebraic Number Theory
ISBN: 0521004233 ISBN-13(EAN): 9780521004237
Издательство: Cambridge Academ
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Цена: 7762.00 р.
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Описание: A 2001 account of Algebraic Number Theory, a field which has grown to touch many other areas of pure mathematics. Encompasses everything that graduate students and pure mathematicians interested in the subject are likely to need. Many exercises and an annotated reading list are included.