Introduction to topology : pure and applied

著者

• Adams, Colin Conrad
• Franzosa, Robert David

書誌事項

Introduction to topology : pure and applied

Colin Adams, Robert Franzosa

Pearson Education, Pearson Prentice Hall, c2008

注記

Includes bibliographical reference and index

内容説明・目次

内容説明

For juniors and seniors of various majors, taking a first course in topology. This book introduces topology as an important and fascinating mathematics discipline. Students learn first the basics of point-set topology, which is enhanced by the real-world application of these concepts to science, economics, and engineering as well as other areas of mathematics. The second half of the book focuses on topics like knots, robotics, and graphs. The text is written in an accessible way for a range of undergraduates to understand the usefulness and importance of the application of topology to other fields.

目次

0. Introduction 1. Topological Spaces 2. Interior, Closure, and Boundary 3. Creating New Topological Spaces 4. Continuous Functions and Homeomorphisms 5. Metric Spaces 6. Connectedness 7. Compactness 8. Dynamical Systems and Chaos 9. Homotopy and Degree Theory 10. Fixed Point Theorems and Applications 11. Embeddings 12. Knots 13. Graphs and Topology 14. Manifolds and Cosmology

「Nielsen BookData」 より

• NII書誌ID(NCID): BA8231082X
• ISBN:
  • 0131848690
• 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: Upper Saddle River, N.J.
• ページ数/冊数: xvii, 489 p.
• 大きさ: 25 cm
• 件名:
  • LCSH : Topology -- Textbooks