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Abstract Algebra: A Comprehensive Introduction

by Professor Steven Roman

The four books

form the basis for my YouTube lecture series with the same title. Here is the current status of the series as of August 23, 2020.

The YouTube Lectures

So far, I have posted about 22 lectures on linear algebra and am trying to post a new lecture every couple of days (barring illness or other issues). I cannot say how many lectures there will be in the linear algebra series, but as a very rough guess, the number could approach 100 or more. Once the Linear Algebra lecture series is done, I will do the Group theory lectures, then the Ring and Field Theory lectures and if there is enough interest, the Order and Lattice Theory lectures. Of course, this is a huge project and will take some time to complete.

Also, the more interest I get from viewers through YouTube comments, the more motivated I become to work harder! 😊

The Books Upon Which the YouTube Lectures Are Based

As to the books, the Linear Algebra and Group Theory books are complete, but as you can tell from the lectures so far, I am constantly making changes to my work, guided in large part by the videos that I create. This includes fixing typos as well as improving the exposition, generally in minor ways. Throughout my professional life, I have NEVER been very satisfied with my work (including both my books and my lectures) and I always have--and probably will always--tweak my work every time I take another look at it. (As an aside, this is one of my many frustrations with commerical and academic book publishers. They do not provide an opportunity to improve my books unless I am willing to wait several years and then add enough NEW material to warrant a new edition! This hurts both me and my readers.)

The Ring and Field Theory book needs a bit more attention before I would call it ready for public scrutiny.

I have had several inquiries (through comments and emails) as to when the books will be available for purchase. Recognizing that it will be much easier to study the material with a copy of the book on hand, I am making the current versions of the Linear Algebra and the Group Theory books available for sale (see below). I hope you enjoy them and thanks for your interest in my work. You will never know how much I appreciate it! If you do purchase the current version of one of my books, you will receive it immediately and when the lecture series for that book is complete, I will send you the final version.

Buy the E-Books

I am offering PDF versions of the books in this series for $29.95 each (plus tax if you live in California). For the tables of contents of the books, please click on one of the links below.

If you are interested in any of the books, you can send payment through PayPal at the email address below. I will then receive an email notification of payment and can send you the book(s), generally within 24-48 hours. (Note that you can use a credit card to make the payment even if you do not have a PayPal account.) If you have any questions about this process, please send me an email at this same email address. Thanks.