Topology for Beginners: A Rigorous Introduction to Set Theory, Topological Spaces, Continuity, Separation, Countability, Metrizability, Compactness, ... Function Spaces, and Algebraic Topology
Product Description
Topology for Beginners: A Rigorous Introduction to Set Theory, Topological Spaces, Continuity, Separation, Countability, Metrizability, Compactness, ... Function Spaces, and Algebraic Topology
- professors teaching an undergraduate course or basic graduate course in topology.
- high school teachers working with advanced math students.
- students wishing to see the type of mathematics they would be exposed to as a math major.
- 16 lessons consisting of basic to intermediate topics in set theory and topology.
- A problem set after each lesson arranged by difficulty level.
- A complete solution guide is included as a downloadable PDF file.
Introduction
Lesson 1 - Sets and Subsets
Lesson 2 - Operations on Sets
Lesson 3 - Relations
Lesson 4 - Functions and Equinumerosity
Lesson 5 - Number Systems and Induction
Lesson 6 - Algebraic Structures and Completeness
Lesson 7 - Basic Topology of R and C
Lesson 8 - Continuity in R and C
Lesson 9 - Topological Spaces
Lesson 10 - Separation and Countability
Lesson 11 - Metrizable Spaces
Lesson 12 - Compactness
Lesson 13 - Continuity and Homeomorphisms
Lesson 14 - Connectedness
Lesson 15 - Function Spaces
Lesson 16 - Algebraic Topology
Technical Specifications
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