Number theory : an elementary introduction through diophantine problems

書誌事項

Number theory : an elementary introduction through diophantine problems

Daniel Duverney

(Monographs in number theory, v. 4)

World Scientific, c2010

  • : hbk
  • : pbk

タイトル別名

Théorie des nombres

大学図書館所蔵 件 / 20

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注記

Translation of: Théorie des nombres. 2e éd. Paris : Dunod, c2007

Includes bibliographical references (p. [331]) and index

内容説明・目次

内容説明

This textbook presents an elementary introduction to number theory and its different aspects: approximation of real numbers, irrationality and transcendence problems, continued fractions, diophantine equations, quadratic forms, arithmetical functions and algebraic number theory.These topics are covered in 12 chapters and more than 200 solved exercises.Clear, concise, and self-contained, this textbook may be used by undergraduate and graduate students, as well as highschool mathematics teachers. More generally, it will be suitable for all those who are interested in number theory, this fascinating branch of mathematics.

目次

  • Irrationality and Diophantine Approximation
  • Representations of Real Numbers by Infinite Series and Products
  • Continued Fractions
  • Regular Continued Fractions
  • Quadratic Fields and Diophantine Equations
  • Squares and Sums of Squares
  • Arithmetical Functions
  • Pade Approximants
  • Algebraic Numbers and Irrationality Measures
  • Number Fields
  • Ideals
  • Introduction to Transcendence Methods

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詳細情報

  • NII書誌ID(NCID)
    BB0333601X
  • ISBN
    • 9789814307451
    • 9789814307468
  • 出版国コード
    si
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 原本言語コード
    fre
  • 出版地
    Singapore
  • ページ数/冊数
    xii, 335 p.
  • 大きさ
    24 cm
  • 分類
  • 件名
  • 親書誌ID
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