Автор: Badziahin Название: Dynamics and Analytic Number Theory ISBN: 1107552370 ISBN-13(EAN): 9781107552371 Издательство: Cambridge Academ Рейтинг: Цена: 10138.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Aimed at both young and established researchers, this book covers several directions of current research lying at the interface between dynamics and analytic number theory. Leading experts present a wide range of topics, including homogeneous dynamics, Diophantine approximation, Ramsey theory, ergodic theory and combinatorics.
Автор: Scott D. Ahlgren; George E. Andrews; Ken Ono Название: Topics in Number Theory ISBN: 0792355830 ISBN-13(EAN): 9780792355830 Издательство: Springer Рейтинг: Цена: 13275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume contains the proceedings of the Topics in Number Theory Conference held at the Pennsylvania State University from July 31 through to August 3 1997. It contains 17 research papers covering many areas of number theory; among them are contributions from four of the eight plenary speakers.
Название: Algebraic Number Theory ISBN: 3319075446 ISBN-13(EAN): 9783319075440 Издательство: Springer Рейтинг: Цена: 4890.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This undergraduate textbook provides an approachable and thorough introduction to the topic of algebraic number theory, taking the reader from unique factorisation in the integers through to the modern-day number field sieve.
Автор: Larcher Название: Applied Algebra and Number Theory ISBN: 1107074002 ISBN-13(EAN): 9781107074002 Издательство: Cambridge Academ Рейтинг: Цена: 17424.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book contains survey articles authored by Harald Niederreiter`s close colleagues and leading experts to mark the occasion of his 70th birthday. Intended for graduate students and researchers, the articles focus on uniform distribution and quasi-Monte Carlo methods as well as finite fields and their applications, in particular, cryptography and pseudorandom number generation.
Автор: Ash Avner, Gross Robert Название: Elliptic Tales: Curves, Counting, and Number Theory ISBN: 0691163502 ISBN-13(EAN): 9780691163505 Издательство: Wiley Рейтинг: Цена: 2216.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Elliptic Tales describes the latest developments in number theory by looking at one of the most exciting unsolved problems in contemporary mathematics--the Birch and Swinnerton-Dyer Conjecture. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem. The key to the conjecture
Автор: Wladyslaw Narkiewicz Название: Elementary and Analytic Theory of Algebraic Numbers ISBN: 3642060102 ISBN-13(EAN): 9783642060106 Издательство: Springer Рейтинг: Цена: 18161.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Michael Rosen Название: Number Theory in Function Fields ISBN: 1441929541 ISBN-13(EAN): 9781441929549 Издательство: Springer Рейтинг: Цена: 8384.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Elementary number theory is concerned with the arithmetic properties of the ring of integers, Z, and its field of fractions, the rational numbers, Q. Early on in the development of the subject it was noticed that Z has many properties in common with A = IF T], the ring of polynomials over a finite field. Both rings are principal ideal domains, both have the property that the residue class ring of any non-zero ideal is finite, both rings have infinitely many prime elements, and both rings have finitely many units. Thus, one is led to suspect that many results which hold for Z have analogues of the ring A. This is indeed the case. The first four chapters of this book are devoted to illustrating this by presenting, for example, analogues of the little theorems of Fermat and Euler, Wilson's theorem, quadratic (and higher) reciprocity, the prime number theorem, and Dirichlet's theorem on primes in an arithmetic progression. All these results have been known for a long time, but it is hard to locate any exposition of them outside of the original papers. Algebraic number theory arises from elementary number theory by con- sidering finite algebraic extensions K of Q, which are called algebraic num- ber fields, and investigating properties of the ring of algebraic integers OK C K, defined as the integral closure of Z in K.
Автор: Marie-Paule Malliavin Название: Topics in Invariant Theory ISBN: 3540543775 ISBN-13(EAN): 9783540543770 Издательство: Springer Рейтинг: Цена: 6288.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume of proceedings reflects the main activities of the Paris Seminaire d`Algebre, containing a series of papers on invariant theory, representation theory and combinatorics. There is a new presentation of derived categories and an introduction to the deformation theory of Lie equations.
Автор: Harry Dym; Marinus A. Kaashoek; Peter Lancaster; H Название: A Panorama of Modern Operator Theory and Related Topics ISBN: 3034807899 ISBN-13(EAN): 9783034807890 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Included are contributions to single and multivariable operator theory, commutative and non-commutative Banach algebra theory, the theory of matrix polynomials and analytic vector-valued functions, several variable complex function theory, and the theory of structured matrices and operators.
Автор: Henri Cohen Название: Number Theory ISBN: 144192390X ISBN-13(EAN): 9781441923905 Издательство: Springer Рейтинг: Цена: 6981.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The central theme of this book is the solution of Diophantine equations, i.e., equations or systems of polynomial equations which must be solved in integers, rational numbers or more generally in algebraic numbers.
Автор: Henri Cohen Название: Number Theory ISBN: 1441923888 ISBN-13(EAN): 9781441923882 Издательство: Springer Рейтинг: Цена: 6981.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book deals with several aspects of what is now called "explicit number theory." The central theme is the solution of Diophantine equations. This unique collection of topics contains more than 350 exercises and its text is largely self-contained.
Описание: These are the proceedings of the conference "Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics" held at the Department of Mathematics, University of Florida, Gainesville, from November 11 to 13, 1999.
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