Metric spaces

著者

• Copson, E. T. (Edward Thomas)

書誌事項

Metric spaces

E. T. Copson

（Cambridge tracts in mathematics and mathematical physics, no. 57）

Cambridge Univ. Press, 1968

• : hbk
• : pbk

内容説明・目次

内容説明

Metric space topology, as the generalization to abstract spaces of the theory of sets of points on a line or in a plane, unifies many branches of classical analysis and is necessary introduction to functional analysis. Professor Copson's book, which is based on lectures given to third-year undergraduates at the University of St Andrews, provides a more leisurely treatment of metric spaces than is found in books on functional analysis, which are usually written at graduate student level. His presentation is aimed at the applications of the theory to classical algebra and analysis; in particular, the chapter on contraction mappings shows how it provides proof of many of the existence theorems in classical analysis.

目次

• Preface
• 1. Introduction
• 2. Metric spaces
• 3. Open and closed sets
• 4. Complete metric spaces
• 5. Connected sets
• 6. Compactness
• 7. Functions and mappings
• 8. Some applications
• 9. Further developments
• Index.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA11134002
• ISBN:
  • 0521047226
  • 0521357322
• LCCN: 68018343
• 出版国コード: uk
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: London
• ページ数/冊数: 143 p.
• 大きさ: 22 cm
• 分類:
  • LCC : QA613
  • DC : 513/.83
  • NDC8 : 415.2
• 件名:
  • LCSH : Metric spaces
  • NDLSH : 距離空間
• 親書誌ID:
  • BA0066325X