Pure Mathematics for Beginners: A Rigorous Introduction to Logic, Set Theory, Abstract Algebra, Number Theory, Real Analysis, Topology, Complex Analysis, and Linear Algebra by Steve Warner (PDF)

Description

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:IntroductionLesson 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

User’s Reviews

Editorial Reviews: From the Author The solution guide to this book is now available in paperback on Amazon.Note: When you purchase this book, you will gain access to the solution guide in digital format. Due to multiple requests, I have decided to release the solution guide in physical form as well.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Though the description notes that it is for introductory math classes at the college level, I find the use of the terms “introductory” and “beginner” to be a bit inaccurate. You need a pretty well established understanding of mathematics going into this book, which means that it is not a beginner level introduction. I would give fewer stars out of frustration, but recognize that I am not an expert mathematician… that having been said, that’s why I bought the book. I will need to study a lot more before I can follow this introduction. Buyer be warned.

⭐This is an excellent book for beginners who would like to learn what pure mathematics is. It is written in a simple, elegant,pleasant, and easy to read and follow way. Though it might be helpful to have a good high school math base, but does not need any deep math background.The content:1- is very engaging and any interested beginner would always wonder what s the next chapter will be.2-Written in a way like building legos. The sequence of the chapters and the topics(ideas) in each chapter flow smoothly and logically.3-All concepts and theorems are explained clearly and followed by plenty of examples.4-All problems come with detailed solutions and extra explanations. Some problems are difficult and may require the reader to look at the solution which might need to be read once or twice to understand.I had great pleasure learning and exploring the topics of pure mathematics from this book, and I highly recommended for beginners who are going to any undergrad major requiring pure math and for self-learners too. It may also serve as a reference for graduate students for a quick review.

⭐I am PhD in Theoretical Physics and a Beginner in Pure Mathematics. I highly recommend this book for anyone interested in mastering the basic and intermediate levels of Logic, Set Theory, Abstract Algebra, Number Theory, Real Analysis, Topology, Complex Analysis and Linear Algebra. For each topic, there is a logical progression of concepts and they are introduced gradually and built upon one another. This is an EXCELLENT book for both beginners and intermediate students as well.This book is PERFECT!! The author has the magical ability to explain only the necessary and sufficient ingredients in a truly didactic approach. The theories are constructed from the very beginning at an accessible starting point and progresses in incremental steps in such a way the the reader feels like (s)he is the one constructing them.The Problem Sets are ingenuously well put in five different levels of difficulty. Some chapters also include a challenge problem. This is definetely the most effective book for developing our pure mathematical skills from the beginning quickly and accurately.I am also studying “Set Theory for Beginners” (by the same author). I highly recommend that book too!!Set Theory for Beginnershttps://www.amazon.com/dp/0999811762/

⭐The first chapter logic, which I was already familiar with is poorly explained.The only way you can download the PDF with the solutions is to provide youremail address. This is not mentioned in the description of the book on Amazon.

⭐This book has absolutely no polish and doesn’t do anything thoroughly. That said, it was kind of interesting to get a superficial peak at different fields of abstract math. I read a little on modern algebra, got a preview of complex analysis, and got a short intro to set theory. But I honestly don’t see how this book would be useful for any class. It just covers too many things, all very superficially. It is also ridiculously expensive for what you’re getting. I bought it on prime, gave it a quick review and then sent it back to Amazon for a full refund. Glad I did.

⭐This truly outstanding book explains proofs, theory and structure of some of the most core areas of mathematics, and does so in a way that is clear, comprehensible and compelling. To do so in areas as complex and as abstract as these subjects are is no mean feat, but Dr. Warner makes it look easy. It is the best book I could have obtained as I am contemplating pursuing a Masters in math after receiving my bachelors degree over fifty years ago. This text provides me with a perfect vehicle for review and update. I rate it six stars out of a possible five!

⭐This is an exceptionally good book, and one of the best I’ve ever seen for self-study. The content, overall structure and clarity of explanation is superior.The first two chapters on logic and set theory provide a solid foundation for the rest of the topics in the book, and for all of mathematics. The problem sets gradually increase in difficulty, and combined with fully explained solutions, enable a real understanding of the material. I also like that he explains how to think about certain concepts and how proof techniques and solution writing is included – highly recommend!

⭐This book is great. Excellent introduction to the topics covered. Straight to the point. Nice notes about proofs and theorems. Great illustrations. Clear and concise. I do not have enough words to describe how helpful this book was to me.

⭐I am reviewing here the print quality and not the contents. It’s printed by Amazon and if you haven’t seen those kind of books before – it’s just a bunch of A4 cheap paper printed on cheap laser printer with toner saver enabled. The only thing in color is the cover. It is written in Word with the same Arial font everywhere.Returned right away.I am still trying to figure out how to identify books printed by Amazon in order to avoid them.

⭐Crossing over to pure math is weird for a lay person like me, this book does an excellent job of introducing abstract concepts without to many tears.

⭐Este é um dos livros mais didáticos de Matemática Pura que já estudei! As explicações (tanto da teoria como dos exemplos) são passo a passo. Recomendo para especialistas e não especialistas. O autor apresenta 8 áreas da Matemática Pura, com dois capítulos por área, um mais básico e outro mais avançado. Os capítulos introdutórios podem ser estudados de forma independente.Libro nuevo resumen para matemáticos y físicos que se inician en estas lides.

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Free Download Pure Mathematics for Beginners: A Rigorous Introduction to Logic, Set Theory, Abstract Algebra, Number Theory, Real Analysis, Topology, Complex Analysis, and Linear Algebra in PDF format
Pure Mathematics for Beginners: A Rigorous Introduction to Logic, Set Theory, Abstract Algebra, Number Theory, Real Analysis, Topology, Complex Analysis, and Linear Algebra PDF Free Download
Download Pure Mathematics for Beginners: A Rigorous Introduction to Logic, Set Theory, Abstract Algebra, Number Theory, Real Analysis, Topology, Complex Analysis, and Linear Algebra 2018 PDF Free
Pure Mathematics for Beginners: A Rigorous Introduction to Logic, Set Theory, Abstract Algebra, Number Theory, Real Analysis, Topology, Complex Analysis, and Linear Algebra 2018 PDF Free Download
Download Pure Mathematics for Beginners: A Rigorous Introduction to Logic, Set Theory, Abstract Algebra, Number Theory, Real Analysis, Topology, Complex Analysis, and Linear Algebra PDF
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