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

This is one of the best books I've ever purchased. It helped give me a strong foundation in math, one that I could not get from discrete maths (I'm in computer science).This book is rigorous. In fact, it is pure rigor. It is 200 pages of formal definitions, proofs and problems. There is very little to help you with intuition. However, if you supplement this book with lots of YouTube videos, this is not a problem. Please be advised that you will have to do this if you are an intuitive learner.The quizzes are excellent. ALL of the questions have online answers (as opposed to selected questions, which you will often find in math textbooks). The author is very elaborate with them.

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/

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!

clear, to the point, does exactly what it states it will do. no fluff.

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.

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.