Mathematical masterpieces : further chronicles by the explorers

著者
書誌事項

Mathematical masterpieces : further chronicles by the explorers

Arthur Knoebel ... [et al.]

(Undergraduate texts in mathematics, . Readings in mathematics)

Springer, c2007

  • : hard
  • : pbk

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注記

Other authors: Reinhard Laubenbacher, Jerry Lodder, David Pengelley

Includes bibliographical reference (p. [311]-322) and index

内容説明・目次

内容説明

Intended for juniors and seniors majoring in mathematics, as well as anyone pursuing independent study, this book traces the historical development of four different mathematical concepts by presenting readers with the original sources. Each chapter showcases a masterpiece of mathematical achievement, anchored to a sequence of selected primary sources. The authors examine the interplay between the discrete and continuous, with a focus on sums of powers. They then delineate the development of algorithms by Newton, Simpson and Smale. Next they explore our modern understanding of curvature, and finally they look at the properties of prime numbers. The book includes exercises, numerous photographs, and an annotated bibliography.

目次

The Bridge Between Continuous and Discrete.- Solving Equations Numerically: Finding Our Roots.- Curvature and the Notion of Space.- Patterns in Prime Numbers: The Quadratic Reciprocity Law.

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詳細情報
  • NII書誌ID(NCID)
    BA8316096X
  • ISBN
    • 9780387330600
    • 9780387330617
  • LCCN
    2006940178
  • 出版国コード
    us
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    New York
  • ページ数/冊数
    xii, 333 p., [2] p. of plates
  • 大きさ
    24 cm
  • 分類
  • 件名
  • 親書誌ID
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