The Story of Algebraic Numbers in the First Half of the 20th Century, W?adys?aw Narkiewicz

Автор: PierCarlo Nicola
Название: Mainstream Mathematical Economics in the 20th Century
ISBN: 3642086381 ISBN-13(EAN): 9783642086380
Издательство: Springer
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Цена: 29209.00 р.
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Описание: (Anonym, circa 1996-97) The first idea to write a book on M athematical Economics, more or less ordered in a historical sequence, occurred to me in 1995, when I was asked, by Istituto delta Enciclopedia Italiana, to write the entry "Storia dell`economia 1 2 matematica" , for the collective work "Storia deI XX Secolo".

Автор: W?adys?aw Narkiewicz
Название: Rational Number Theory in the 20th Century
ISBN: 1447127153 ISBN-13(EAN): 9781447127154
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This book surveys 20th century progress in classical number theory, from the proof of the Prime Number Theorem in 1896 through the proof of Fermat`s Last Theorem, focusing on the part of number theory that addresses properties of integers and rational numbers.

Автор: Narkiewicz
Название: Rational Number Theory in the 20th Century
ISBN: 0857295314 ISBN-13(EAN): 9780857295316
Издательство: Springer
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Цена: 15372.00 р.
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Описание: The last one hundred years have seen many important achievements in the classical part of number theory. After the proof of the Prime Number Theorem in 1896, a quick development of analytical tools led to the invention of various new methods, like Brun's sieve method and the circle method of Hardy, Littlewood and Ramanujan; developments in topics such as prime and additive number theory, and the solution of Fermat’s problem. Rational Number Theory in the 20th Century: From PNT to FLT offers a short survey of 20th century developments in classical number theory, documenting between the proof of the Prime Number Theorem and the proof of Fermat's Last Theorem. The focus lays upon the part of number theory that deals with properties of integers and rational numbers. Chapters are divided into five time periods, which are then further divided into subject areas. With the introduction of each new topic, developments are followed through to the present day. This book will appeal to graduate researchers and student in number theory, however the presentation of main results without technicalities will make this accessible to anyone with an interest in the area.

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.