Pure Mathematics for Beginners: A Rigorous Introduction to Logic, Set Theory, Abstract Algebra, Number Theory, Real Analysis, Topology, Complex Analysis, and Linear Algebra

Pure Mathematics for Beginners by Steve Warner (2018, Trade Paperback) Pure Mathematics for Beginners is perfect for: Professors teaching an introductory college course in higher mathematics, and 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. Pure 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 proof-writing skills that are essential for advanced study in mathematics are covered and reviewed extensively. Pure Math Book Table of Contents: Introduction Lesson 1 - Logic: Statements and Truth Lesson 2 - Set Theory: Sets and Subsets Lesson 3 - Abstract Algebra: Semigroups, Monoids, and Groups Lesson 4 - Number Theory: Ring of Integers Lesson 5 - Real Analysis: The Complete Ordered Field of Reals Lesson 6 - Topology: The Topology of R Lesson 7 - Complex Analysis: The Field of Complex Numbers Lesson 8 - Linear Algebra: Vector Spaces Lesson 9 - Logic: Logical Arguments Lesson 10 - Set Theory: Relations and Functions Lesson 11 - Abstract Algebra: Structures and Homomorphisms Lesson 12 - Number Theory: Primes, GCD, and LCM Lesson 13 - Real Analysis: Limits and Continuity Lesson 14 - Topology: Spaces and Homeomorphisms Lesson 15 - Complex Analysis: Complex Valued Functions Lesson 16 - Linear Algebra: Linear Transformations The material in this pure math book includes 16 lessons in 8 subject areas plus a problem set after each lesson arranged by difficulty level. 261pp. Large paperback has complete black wraps without creases in spine or covers. Indents in covers from use as a writing board. Interior is tight, clean and unmarked. No ownership markings, always privately owned. No evidence of book being studied. Copyright 2018. Printed in U.S.A. on 27 October 2020. CIP not included, likely a POD copy. No edition, print-run, LCCN nor MSR found. ISBN: 978-099811757. Thanks for Looking. …