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eBook Elementary and Analytic Theory of Algebraic Numbers (Springer Monographs in Mathematics) ePub

by Wladyslaw Narkiewicz

eBook Elementary and Analytic Theory of Algebraic Numbers (Springer Monographs in Mathematics) ePub
Author: Wladyslaw Narkiewicz
Language: English
ISBN: 3540219021
ISBN13: 978-3540219026
Publisher: Springer; 3rd edition (November 18, 2004)
Pages: 712
Category: Mathematics
Subcategory: Science
Rating: 4.8
Votes: 577
Formats: lrf doc lit mbr
ePub file: 1908 kb
Fb2 file: 1107 kb

Mathematics Number Theory and Discrete Mathematics. In Chapters 2, 3 and 4 the clas­ sical theory of algebraic numbers is developed. Narkiewicz’ presentation is so clear and detailed that coverage of certain topic. s extremely beneficial.

Mathematics Number Theory and Discrete Mathematics. Springer Monographs in Mathematics. 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. Michael Berg, MathDL, September, 2005).

The aim of this book is to present an exposition of the theory of alge braic numbers, excluding . Springer Science & Business Media, 24. 6. 2004 - Počet stran: 712. 0 Recenze.

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.

Wladyslaw Narkiewicz. This book details the classical part of the theory of algebraic number theory, excluding class-field theory and its consequences. Coverage includes: ideal theory in rings of algebraic integers, p-adic fields and their finite extensions, ideles and adeles, zeta-functions, distribution of prime ideals, Abelian fields, the class-number of quadratic fields, and factorization problems. The book also features exercises and a list of open problems.

Start by marking Elementary and Analytic Theory of Algebraic Numbers (Springer Monographs .

Start by marking Elementary and Analytic Theory of Algebraic Numbers (Springer Monographs in Mathematics) as Want to Read: Want to Read savin. ant to Read. Coverage includes: ideal theory in rings of algebraic integers, p-adic fields and their finite extensions, ideles and adeles, zeta-functions, distribution of prime ideals, Abelian fields, the class-number of quadratic fields, and factorization.

Автор: Wladyslaw Narkiewicz Название: Elementary and Analytic Theory of Algebraic Numbers Издательство .

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.

Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in. .

Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields.

Algebraic number theory. McGraw-Hill Book C. In. New York. relatively prime, 24 ring of integers, 41 S-integer, 165 S-unit, 166 symmetric in the origin, 138 symmetric polynomial, 36 elementary, 36 tamely ramified, 250 tensor product, 26 theorem Chebotarev density, 283 Chinese Remainder, 24 Chinese Remainder (for modules), 26 cyclotomic fields, 185 Dedekind’s on com- puting Galois groups, 278 extending valuations, 233 factoring primes in an extension, 110.

Автор: Narkiewicz Wladyslaw Название: Elementary and Analytic Theory of Algebraic Numbers Издательство . This book aims to ease students into using proofs, and to develop a self-confidence in mathematics surrounding the difficulty of mathematical proof.

This book aims to ease students into using proofs, and to develop a self-confidence in mathematics surrounding the difficulty of mathematical proof.

2004) Springer Monographs in Mathematics Series. Author: Narkiewicz Wladyslaw. This book gives an exposition of the classical part of the theory of algebraic number theory, excluding class-field theory and its consequences. The following topics are treated: ideal theory in rings of algebraic integers, p-adic fields and their finite extensions, ideles and adeles, zeta-functions, distribution of prime ideals, Abelian fields, the class-number of quadratic fields, and factorization problems.

This book details the classical part of the theory of algebraic number theory, excluding class-field theory and its consequences. Coverage includes: ideal theory in rings of algebraic integers, p-adic fields and their finite extensions, ideles and adeles, zeta-functions, distribution of prime ideals, Abelian fields, the class-number of quadratic fields, and factorization problems. The book also features exercises and a list of open problems.

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