Principles of Topology (eBook)

Fred H. Croom (Autor)

eBook Download: EPUB

2016 | 1., First Edition, First
336 Seiten
Dover Publications (Verlag)
978-0-486-81044-7 (ISBN)

Infos

Topology is a natural, geometric, and intuitively appealing branch of mathematics that can be understood and appreciated by students as they begin their study of advanced mathematical topics. Designed for a one-semester introduction to topology at the undergraduate and beginning graduate levels, this text is accessible to students familiar with multivariable calculus. Rigorous but not abstract, the treatment emphasizes the geometric nature of the subject and the applications of topological ideas to geometry and mathematical analysis.Customary topics of point-set topology include metric spaces, general topological spaces, continuity, topological equivalence, basis, subbasis, connectedness, compactness, separation properties, metrization, subspaces, product spaces, and quotient spaces. In addition, the text introduces geometric, differential, and algebraic topology. Each chapter includes historical notes to put important developments into their historical framework. Exercises of varying degrees of difficulty form an essential part of the text.

Autor

Fred H. Croom is Professor of Mathematics at The University of the South, Sewanee, Tennessee.

Inhalt

Preface1. Introduction2. The Line and the Plane3. Metric Spaces4. Topological Spaces5. Connectedness6. Compactness7. Product and Quotient Spaces8. Separation Properties and Metrization9. The Fundamental GroupAppendix: Introduction to GroupsBibliographyIndex

Produkt-Details

• Erscheint lt. Verlag: 17.3.2016
• Reihe/Serie: Dover Books on Mathematics
• Sprache: englisch
• Maße: 160 x 160 mm
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• Schlagworte: algebraic topology • application of topological ideas • complex, Topology • geometric branch of mathematics • geometric nature • Geometry and Topology • introduction to topology • Mathematical Analysis • mathematical analysis and customary topics • Mathematics • Metric Spaces • Multivariable Calculus • Nonfiction • principles of topology • quotient spaces • science and math • Spatial relations • study help for advanced mathematics • study of geometric properties • The fundamental group • topological equivalence • Topological Ideas • Topological Spaces • topology for undergraduate students
• ISBN-10: 0-486-81044-5 / 0486810445
• ISBN-13: 978-0-486-81044-7 / 9780486810447