| Title | Pure Mathematics for Beginners: A Rigorous Introduction to Logic, Set Theory, Abstract Algebra, Number Theory, Real Analysis, Topology, Complex Analysis, and Linear Algebra |
| Author(s) | Steve Warner |
| Publisher | Get 800 LLC |
| Publication Year | 2018 |
| Edition | 1st Edition |
| Language | English |
| Pages | 262 pages |
| ISBN | 9780999811757 |
| Genre / Domain | Mathematics, Education |
| File Size | 10.51 MB |
| Extension |
Book Summary
"Pure Mathematics for Beginners" by Dr. Steve Warner is a rigorous yet accessible introduction to the world of pure mathematics, designed specifically for students who are taking their first steps into higher mathematics. Published in 2018 by Get 800 LLC, this book addresses a critical gap in mathematical education by providing a structured and comprehensive entry point into abstract mathematical thinking. The author, a mathematician and experienced educator, has crafted a text that emphasizes proof-writing skills and conceptual understanding, making it an ideal resource for anyone preparing for advanced studies in mathematics.
The book is organized into 16 lessons spanning eight fundamental subject areas: Logic, Set Theory, Abstract Algebra, Number Theory, Real Analysis, Topology, Complex Analysis, and Linear Algebra [citation:1][citation:16]. Each subject is introduced through two lessons that progress from basic to intermediate material, ensuring a gradual and thorough understanding. For example, the Logic section begins with statements and truth before moving to logical arguments, while Set Theory covers sets and subsets before advancing to relations and functions. This careful sequencing allows readers to build their knowledge incrementally and solidify their grasp of each topic before moving on.
One of the standout features of this book is its extensive focus on proof-writing skills, which are essential for success in advanced mathematics [citation:1]. Unlike many introductory texts that assume these skills, Warner dedicates significant attention to teaching students how to construct and understand mathematical proofs. Each lesson is followed by a problem set arranged by difficulty level, allowing readers to practice at their own pace and gradually tackle more challenging problems. A complete solution guide is available as a downloadable PDF, providing students with the support they need to master the material.
This book is perfect for professors teaching an introductory college course in higher mathematics, high school teachers working with advanced math students, and students who wish to see the type of mathematics they would encounter as a math major [citation:1][citation:16]. Its clear structure and emphasis on foundational skills make it an invaluable resource for anyone looking to build a solid base in pure mathematics. The book is written in English and spans 262 pages, offering a comprehensive yet approachable introduction to the subject.
Dr. Steve Warner's expertise as an educator shines through in this text. With over two decades of experience tutoring students in mathematics, he has developed a unique pedagogical approach that breaks down complex concepts into digestible lessons [citation:2][citation:8]. The book reflects his philosophy that working smarter, not just harder, is the key to mathematical success. "Pure Mathematics for Beginners" stands as a testament to his commitment to making high-quality mathematical education accessible to all.
Key Features
- Provides a rigorous yet accessible introduction to eight fundamental areas of pure mathematics.
- Features 16 lessons that cover basic through intermediate material in a structured sequence.
- Emphasizes proof-writing skills essential for advanced mathematical study.
- Includes a problem set after each lesson arranged by difficulty level.
- Offers a complete solution guide as a downloadable PDF file.
- Covers Logic, Set Theory, Abstract Algebra, Number Theory, Real Analysis, Topology, Complex Analysis, and Linear Algebra.
- Designed for professors, high school teachers, and students preparing for advanced mathematics.
- Written by Dr. Steve Warner, a mathematician with extensive tutoring experience.
- Published by Get 800 LLC, an imprint focused on affordable educational materials.
- Represents a comprehensive yet approachable entry point into pure mathematics.
About the Author
Dr. Steve Warner is a mathematician and test prep expert who has been tutoring students in mathematics since 1999 [citation:2][citation:8]. He holds a Ph.D. in mathematics and has taught at both Penn State and Hofstra University, where he has instructed a full range of undergraduate and graduate courses [citation:8]. During his time at Hofstra, he published several articles in scholarly journals and participated in a five-year, eleven-million-dollar NSF grant to improve mathematics and science curriculum in poorly performing middle schools [citation:8].
Dr. Warner founded "GET 800" in 2012 with the goal of providing inexpensive test preparation for students who cannot afford expensive one-on-one tutoring [citation:2][citation:5]. His unique system focuses on test-specific strategy designed to save time, avoid carelessness, and exploit the weaknesses of standardized tests [citation:8]. Known as the "math ninja" during his college years for his ability to help students rapidly improve their math scores, Dr. Warner has developed a teaching philosophy centered on the idea that anyone can increase their mathematical skill to any level they choose [citation:8]. His "Get 800" collection includes numerous books on SAT, ACT, SAT subject tests, AP Calculus and Physics exams, GRE, and SHSAT preparation.
Related Books
- Prepping for Pure Mathematics: A Starter's Guide to Logic, Set Theory, Abstract Algebra, Number Theory, Real Analysis, Topology, Complex Analysis, and Linear Algebra — Steve Warner
- Pure Mathematics for Pre-Beginners — Steve Warner
- Set Theory for Beginners — Steve Warner
- Pure Mathematics for Beginners - Solution Guide — Steve Warner
- How to Prove It: A Structured Approach — Daniel J. Velleman
- Book of Proof — Richard Hammack
- Understanding Analysis — Stephen Abbott
Ads
Frequently Asked Questions (FAQ)
Q : What is the main goal of this book ?
R : The book aims to provide a rigorous yet accessible introduction to pure mathematics for beginners, covering eight fundamental subject areas and emphasizing the development of proof-writing skills.
Q : Who is the target audience for this book ?
R : It is designed for students taking their first steps into higher mathematics, including college students, advanced high school students, and anyone preparing for advanced studies in mathematics.
Q : What subjects are covered in the book ?
R : The book covers Logic, Set Theory, Abstract Algebra, Number Theory, Real Analysis, Topology, Complex Analysis, and Linear Algebra across 16 lessons.
Q : Is there a solution guide available for the problems ?
R : Yes, a complete solution guide is included as a downloadable PDF file, providing students with the support they need to master the material.
Q : What is the ISBN of this book ?
R : The ISBN is 9780999811757.
Q : Is this book suitable for self-study ?
R : Yes, the book's structured approach, clear explanations, and comprehensive problem sets make it ideal for self-study, as well as for classroom use.
Enregistrer un commentaire
Thanks for comment