Pure Mathematics for Beginners

Pure Mathematics for BeginnersPure Mathematics for Beginners consists of a series of lessons in Logic, Set Theory, Abstract Algebra, Number Theory, Real Analysis, Topology, Complex Analysis, and Linear Algebra.The 16 lessons in this book cover basic through intermediate material from each of these 8 topics. In addition, all the proofwriting skills that are essential for advanced study in mathematics are covered and reviewed extensively.Pure Mathematics for Beginners is perfect forprofessors teaching an introductory college course in higher mathematicshigh school teachers working with advanced math studentsstudents 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 in 8 subject areas.A problem set after each lesson arranged by difficulty level.A complete solution guide is included as a downloadable PDF file.Pure Math Book Table Of Contents (Selected) Here's a selection from the table of contents:Introduction Lesson 1 - Logic: Statements and TruthLesson 2 - Set Theory: Sets and SubsetsLesson 3 - Abstract Algebra: Semigroups, Monoids, and GroupsLesson 4 - Number Theory: Ring of IntegersLesson 5 - Real Analysis: The Complete Ordered Field of RealsLesson 6 - Topology: The Topology of RLesson 7 - Complex Analysis: The field of Complex NumbersLesson 8 - Linear Algebra: Vector SpacesLesson 9 - Logic: Logical ArgumentsLesson 10 - Set Theory: Relations and FunctionsLesson 11 - Abstract Algebra: Structures and HomomorphismsLesson 12 - Number Theory: Primes, GCD, and LCMLesson 13 - Real Analysis: Limits and ContinuityLesson 14 - Topology: Spaces and HomeomorphismsLesson 15 - Complex Analysis: Complex Valued FunctionsLesson 16 - Linear Algebra: Linear Transformations