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Yan Min, "Introduction to Topology: Theory and Applications"
2010 | ISBN-10: 7040292033 | 235 pages | PDF | 1,2 MB
The aim of the book is to give a oad introduction to topology for undergraduate students. It covers the most important and useful parts of the point-set as well as combinatorial topology. The development of the materia is from simple to complex. concrete to abstract. and appeals to the intuition of the reader. Attention is also paid to how topology is actually used in the other fields of mathematics. Qver 150 illustrations . 160 examples and 600 exercises will help readers to practice and fully understand the subject. Contents: 1 Set and Map1.1 Set1.2 Map1.3 Counting1.4 Equivalence Relation and Quotient2.Metric Space2.1 Metric2.2 Ball2.3 Open Subset2.4 Continuity2.5 Limit Point2.6 Closed Subset3.Graph and Network3.1 Seven idges in KSnigsberg3.2 Proof of One-Trip Criterion3.3 Euler Formul...