Introduction to Topology by Min Yan (English) Paperback Book

The Nile on eBay   Introduction to Topology by Min Yan, Higher Education Press Ltd. Comp.

Uses knowledge from analysis course as a starting point and gradually builds up more abstract concepts in topology for students. In this book, point set topology and combinatorial topology are arranged in alternating order to alleviate learning pressure and exercises are immersed into discussions.

FORMATPaperback LANGUAGEEnglish CONDITIONBrand New Publisher Description

The aim of the book is to give a broad introduction of topology to undergraduate students. It covers the most important and useful parts of the point-set as well as the combinatorial topology. The development of the material is from simple to complex, concrete to abstract, and appeals to the intuition of readers. Attention is also paid to how topology is actually used in the other fields of mathematics. Over 150 illustrations, 160 examples and 600 exercises will help readers to practice and fully understand the subject. Contents:Set and MapMetric SpaceGraphTopologyTopological ConceptsComplexTopological PropertiesSurfaceTopics in Point Set TopologyIndex

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The aim of the book is to give a broad introduction of topology to undergraduate students. It covers the most important and useful parts of the point-set as well as the combinatorial topology. The development of the material is from simple to complex, concrete to abstract, and appeals to the intuition of readers. Attention is also paid to how topology is actually used in the other fields of mathematics. Over 150 illustrations, 160 examples and 600 exercises will help readers to practice and fully understand the subject.

Author Biography

Min Yan, HongKong University of Science and Technology, HongKong.

Table of Contents

1 Set and Map 1.1 Set 1.2 Map 1.3 Counting 1.4 Equivalence Relation and Quotient 2.Metric Space 2.1 Metric 2.2 Ball 2.3 Open Subset 2.4 Continuity 2.5 Limit Point 2.6 Closed Subset 3.Graph and Network 3.1 Seven Bridges in KSnigsberg 3.2 Proof of One-Trip Criterion 3.3 Euler Formula 3.4 Application of Euler Formula 4 Topology 4.1 Topological Basis and Subbasis 4.2 Open Subset 4.3 Topological Space 4.4 Comparing Topologies 4.5 Limit Point and Closed Subset 4.6 Closure 5 Basic Topological Concepts 5.1 Continuity 5.2 Homeomorphism 5.3 Subspace 5.4 Product 5.5 Quotient 6. Complex 6.1 Simplicial Complex 6.2 CW-Complex 6.3 Projective Space 6.4 Euler Number 7 Topological Properties 7.1 Hausdorff Space 7.2 Connected Space 7.3 Path Connected Space 7.4 Connected Component 7.5 Compact Space 7.6 Limit Point Compact Space 8 Surface 8.1 Manifold 8.2 Surface 8.3 Simplicial Surface 8.4 Planar Diagram 8.5 Cut and Paste 8.6 Classification of Surface 8.7 Recognition of Surface 9 Topics in Point Set Topology 9.1 Normal Space 9.2 Paracompact Space 9.3 Complete Metric Space 9.4 Baire Category Theorem 9.5 Infinite Product 9.6 Space-Filling Curve 9.7 Space of Maps

Long Description

The aim of the book is to give a broad introduction of topology to undergraduate students. It covers the most important and useful parts of the point-set as well as the combinatorial topology. The development of the material is from simple to complex, concrete to abstract, and appeals to the intuition of readers. Attention is also paid to how topology is actually used in the other fields of mathematics. Over 150 illustrations, 160 examples and 600 exercises will help readers to practice and fully understand the subject. Contents: Set and Map Metric Space Graph Topology Topological Concepts Complex Topological Properties Surface Topics in Point Set Topology Index

Details ISBN3110378159 Author Higher Education Press Ltd. Comp. Pages 249 Publisher De Gruyter Series De Gruyter Textbook Year 2016 ISBN-10 3110378159 ISBN-13 9783110378153 Format Paperback Publication Date 2016-02-22 Imprint De Gruyter Place of Publication Berlin Country of Publication Germany DEWEY 514 Language English UK Release Date 2016-02-22 Illustrations 100 Tables, black and white; 155 Illustrations, black and white Alternative 9783110378160 Audience Tertiary & Higher Education We've got this

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