Pure Mathematics for Beginners: A Rigorous Introduction to Logic, Set Theory, Abstract Algebra, Number
Original price was: $59.99.$19.96Current price is: $19.96.
Description
Pure Mathematics for Beginners
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.
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: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
7 reviews for Pure Mathematics for Beginners: A Rigorous Introduction to Logic, Set Theory, Abstract Algebra, Number
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Al (verified owner) –
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.
george b potter (verified owner) –
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!
Matheus Lobo (verified owner) –
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 Beginners
https://www.amazon.com/dp/0999811762/
John Redcross (verified owner) –
This book was very useful for understanding the mathematics used in proving theorems in the mathematical treatments of quantum mechanics. The book is great for self study since it provides clear and thorough solutions to the problems which can be consulted after working through the problems on your own.
Greg Larsen (verified owner) –
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!
Mark Karavan (verified owner) –
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.
new_york_reader10 (verified owner) –
clear, to the point, does exactly what it states it will do. no fluff.