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A Conversational Introduction to Algebraic Number Theory, Paul Pollack


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Автор: Paul Pollack
Название:  A Conversational Introduction to Algebraic Number Theory
ISBN: 9781470436537
Издательство: Mare Nostrum (Eurospan)
Классификация:
ISBN-10: 1470436531
Обложка/Формат: Paperback
Страницы: 312
Вес: 0.39 кг.
Дата издания: 30.09.2017
Серия: Student Mathematical Library
Язык: English
Размер: 145 x 219 x 19
Основная тема: Number theory
Подзаголовок: Arithmetic Beyond Z
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Поставляется из: Англии
Описание: Gauss famously referred to mathematics as the “queen of the sciences” and to number theory as the “queen of mathematics”. This book is an introduction to algebraic number theory, meaning the study of arithmetic in finite extensions of the rational number field Q. Originating in the work of Gauss, the foundations of modern algebraic number theory are due to Dirichlet, Dedekind, Kronecker, Kummer, and others. This book lays out basic results, including the three “fundamental theorems”: unique factorization of ideals, finiteness of the class number, and Dirichlets unit theorem. While these theorems are by now quite classical, both the text and the exercises allude frequently to more recent developments. In addition to traversing the main highways, the book reveals some remarkable vistas by exploring scenic side roads. Several topics appear that are not present in the usual introductory texts. One example is the inclusion of an extensive discussion of the theory of elasticity, which provides a precise way of measuring the failure of unique factorization. The book is based on the authors notes from a course delivered at the University of Georgia; pains have been taken to preserve the conversational style of the original lectures.
Дополнительное описание: Number theory



Algebraic number theory: a brief introduction

Автор: Chahal, J.s.
Название: Algebraic number theory: a brief introduction
ISBN: 0367761459 ISBN-13(EAN): 9780367761455
Издательство: Taylor&Francis
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Цена: 8114.00 р.
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Описание: This book offers the basics of algebraic number theory for students and others who need an introduction and do not have the time to wade through the voluminous textbooks available. It is suitable for an independent study or as a textbook for a first course on the topic.

Introduction to number theory with cryptography, second edition

Автор: Kraft, James (gilman School, Baltimore, Maryland, Usa) Washington, Lawrence
Название: Introduction to number theory with cryptography, second edition
ISBN: 1138063479 ISBN-13(EAN): 9781138063471
Издательство: Taylor&Francis
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Цена: 8712.00 р.
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Описание: Building on the success of the first edition, An Introduction to Number Theory with Cryptography, Second Edition, increases coverage of the popular andimportant topic of cryptography, integrating it with traditional topics in number theory.

Introduction to Analytic Number Theory

Автор: Komaravolu Chandrasekharan
Название: Introduction to Analytic Number Theory
ISBN: 3642461263 ISBN-13(EAN): 9783642461262
Издательство: Springer
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Цена: 16769.00 р.
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Описание: This book has grown out of a course of lectures I have given at the Eidgenossische Technische Hochschule, Zurich. I have to acknowledge my indebtedness to Professor Carl Ludwig Siegel, who has read the book, both in manuscript and in print, and made a number of valuable criticisms and suggestions.

Introduction to Modern Number Theory

Автор: Yu. I. Manin; Alexei A. Panchishkin
Название: Introduction to Modern Number Theory
ISBN: 3642057977 ISBN-13(EAN): 9783642057977
Издательство: Springer
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Цена: 19564.00 р.
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Описание: It surveys from a unified point of view both the modern state and the trends of continuing development in various branches of number theory. This substantially revised and expanded new edition contains several new sections, such as Wiles` proof of Fermat`s Last Theorem, and relevant techniques coming from a synthesis of various theories.

The Whole Truth About Whole Numbers

Автор: Sylvia Forman; Agnes M. Rash
Название: The Whole Truth About Whole Numbers
ISBN: 3319110349 ISBN-13(EAN): 9783319110349
Издательство: Springer
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Цена: 5589.00 р.
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Описание: The Whole Truth About Whole Numbers is an introduction to the field of Number Theory for students in non-math and non-science majors who have studied at least two years of high school algebra.

Neverending Fractions

Автор: Borwein
Название: Neverending Fractions
ISBN: 0521186498 ISBN-13(EAN): 9780521186490
Издательство: Cambridge Academ
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Цена: 6019.00 р.
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Описание: This contemporary introduction to the fascinating theory of continued fractions covers a variety of applications that will interest graduates, postgraduates and researchers, as well as teachers and even amateur enthusiasts.

An introduction to number theory /

Автор: Stark, Harold M.,
Название: An introduction to number theory /
ISBN: 0262690608 ISBN-13(EAN): 9780262690607
Издательство: MIT Press
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Цена: 9311.00 р.
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Описание:

The majority of students who take courses in number theory are mathematics majors who will not become number theorists. Many of them will, however, teach mathematics at the high school or junior college level, and this book is intended for those students learning to teach, in addition to a careful presentation of the standard material usually taught in a first course in elementary number theory, this book includes a chapter on quadratic fields which the author has designed to make students think about some of the "obvious" concepts they have taken for granted earlier. The book also includes a large number of exercises, many of which are nonstandard.

Fermat`s Last Theorem

Автор: Harold M. Edwards
Название: Fermat`s Last Theorem
ISBN: 0387902309 ISBN-13(EAN): 9780387902302
Издательство: Springer
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Цена: 11173.00 р.
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Описание: Work on this book was supported in part by the James M. Vaughn, Jr., Vaughn Foundation Fund.

Bilinear Algebra

Автор: Szymiczek, Kazimierz
Название: Bilinear Algebra
ISBN: 9056990764 ISBN-13(EAN): 9789056990763
Издательство: Taylor&Francis
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Цена: 29093.00 р.
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Modern Introduction To Classical Number Theory, A

Автор: Cai Tianxin
Название: Modern Introduction To Classical Number Theory, A
ISBN: 9811218293 ISBN-13(EAN): 9789811218293
Издательство: World Scientific Publishing
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Цена: 19800.00 р.
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Описание:

Natural numbers are the oldest human invention. This book describes their nature, laws, history and current status. It has seven chapters. The first five chapters contain not only the basics of elementary number theory for the convenience of teaching and continuity of reading, but also many latest research results. The first time in history, the traditional name of the Chinese Remainder Theorem is replaced with the Qin Jiushao Theorem in the book to give him a full credit for his establishment of this famous theorem in number theory. Chapter 6 is about the fascinating congruence modulo an integer power, and Chapter 7 introduces a new problem extracted by the author from the classical problems of number theory, which is out of the combination of additive number theory and multiplicative number theory.


One feature of the book is the supplementary material after each section, there by broadening the reader's knowledge and imagination. These contents either discuss the rudiments of some aspects or introduce new problems or conjectures and their extensions, such as perfect number problem, Egyptian fraction problem, Goldbach's conjecture, the twin prime conjecture, the 3x + 1 problem, Hilbert Waring problem, Euler's conjecture, Fermat's Last Theorem, Laudau's problem and etc.


This book is written for anyone who loves natural numbers, and it can also be read by mathematics majors, graduate students, and researchers. The book contains many illustrations and tables. Readers can appreciate the author's sensitivity of history, broad range of knowledge, and elegant writing style, while benefiting from the classical works and great achievements of masters in number theory.

Number Theory: A Very Short Introduction

Автор: Robin Wilson
Название: Number Theory: A Very Short Introduction
ISBN: 0198798091 ISBN-13(EAN): 9780198798095
Издательство: Oxford Academ
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Цена: 1582.00 р.
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Описание: Number theory is the branch of mathematics primarily concerned with the counting numbers, especially primes. It dates back to the ancient Greeks, but today it has great practical importance in cryptography, from credit card security to national defence. This book introduces the main areas of number theory, and some of its most interesting problems.

Introduction to Number Theory

Автор: Hill Richard Michael
Название: Introduction to Number Theory
ISBN: 1786344718 ISBN-13(EAN): 9781786344717
Издательство: World Scientific Publishing
Цена: 15048.00 р.
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Описание: Textbook, with answers to some exercises.


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