Topology for Beginners: A Rigorous Introduction to Set Theory, Topological Spaces, Continuity, Separation, Countability, Metrizability, Compactness, Connectedness, Function Spaces, and Algebraic Topology

consists of a series of basic to intermediate lessons in topology. In addition, all the proofwriting skills that are essential for advanced study in mathematics are covered and reviewed extensively. Topology for Beginners is perfect for The material in this pure math book includes: Here's a selection from the table of contents:Introduction Lesson 1 - Sets and SubsetsLesson 2 - Operations on SetsLesson 3 - RelationsLesson 4 - Functions and EquinumerosityLesson 5 - Number Systems and InductionLesson 6 - Algebraic Structures and CompletenessLesson 7 - Basic Topology of R and CLesson 8 - Continuity in R and CLesson 9 - Topological SpacesLesson 10 - Separation and CountabilityLesson 11 - Metrizable SpacesLesson 12 - CompactnessLesson 13 - Continuity and HomeomorphismsLesson 14 - ConnectednessLesson 15 - Function SpacesLesson 16 - Algebraic Topology