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

Topology for Beginners 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 forprofessors 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.The material in this pure math book includes: 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.Topology Book Table Of Contents (Selected) Heres 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