Mathematics and its history

著者

• Stillwell, John

書誌事項

Mathematics and its history

John Stillwell

（Undergraduate texts in mathematics）

Springer-Verlag, 1997 c1989

Corrected 4th printing

• : us
• : gw

注記

Bibliography: p. [333]-362

内容説明・目次

内容説明

This textbook presents a unified view of mathematics and its historical development. It is aimed at senior undergraduates who have mastered the basic topics but wish to gain a better grasp of mathematics as a whole. Reasons for the emergence of the main fields of modern mathematics are identified, and connections between them are explained, by tracing the course of a few mathematical themes from ancient times down to the 20th century. The emphasis is on history as a method for unifying and motivating mathematics, rather than as an end in itself. No historical expertise is assumed, and classical mathematics is rephrased in modern terms whenever original sources are used.

目次

Preface.- The Theorem of Pythagoras.- Greek Geometry.- Greek Number Theory.- Infinity in Greek Mathematics.- Polynomial Equations.- Analytic Geometry.- Projective Geometry.- Calculus.- Infinite Series.- The Revival of Number Theory.- Elliptic Functions.- Mechanics.- Complex Numbers in Algebra.- Complex Numbers and Curves.- Complex Numbers and Functions.- Differential Geometry.- Noneuclidean Geometry.- Group Theory.- Topology.- Sets, Logic, and Computation.- References.- Index.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA37177929
• ISBN:
  • 0387969810
  • 3540969810
• LCCN: 89004242
• 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 ; Tokyo
• ページ数/冊数: x, 371 p.
• 大きさ: 25 cm
• 分類:
  • LCC : QA21
  • DC19 : 510/.9
  • NDC8 : 410.2
  • NDLC : MA25
• 件名:
  • LCSH : Mathematics -- History
• 親書誌ID:
  • BA00018418