数論：素数分布 Number Theory : An Introduction via the Distribution of Primes

数論：素数分布<br>Number Theory : An Introduction via the Distribution of Primes

数論：素数分布
Number Theory : An Introduction via the Distribution of Primes

Fine, Benjamin/ Rosenberger, Gerhard

BIRKHÄUSER（2006発売）

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製本 Hardcover:ハードカバー版／ページ数 320 p.
言語 ENG
商品コード 9780817644727

基本説明

Solid introduction to analytic number theory, including full proofs of Dirichlet's Theorem and the Prime Number Theorem; Combines user-friendly style, historical context and a wide range of exercises from simple to complex, with selected solutions and tips.

Full Description

This book provides an introduction and overview of number theory based on the distribution and properties of primes. This unique approach provides both a firm background in the standard material as well as an overview of the whole discipline. All the essential topics are covered: fundamental theorem of arithmetic, theory of congruences, quadratic reciprocity, arithmetic functions, and the distribution of primes. Analytic number theory and algebraic number theory both receive a solid introductory treatment. The book's user-friendly style, historical context, and wide range of exercises make it ideal for self study and classroom use.

and Historical Remarks.- Basic Number Theory.- The Infinitude of Primes.- The Density of Primes.- Primality Testing: An Overview.- Primes and Algebraic Number Theory.