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

#### Author: Steve Warner

#### Date: 2018

#### ISBN: 0999811757

#### Pages: 261

#### Language: English

#### Category: Study

#### Tag: Mathematics

Posted on 2020-11-16, by temrick.

Description

**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 proofwriting skills that are essential for advanced study in mathematics are covered and reviewed extensively. Pure Mathematics for Beginners is perfect for

- professors teaching an introductory college course in higher mathematics
- 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 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 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

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