Tour of My Abstract Algebra Book Collection

In this video I go over some of my abstract algebra books. I am pretty sure I have more but I am not 100% positive. I have more bookshelves and boxes I need to go through still, I have a lot of books!!

There are a lot of books here. Keep in mind this collection has taken me years.

If you enjoyed this video please consider liking, sharing, and subscribing.

You can also help support my channel by becoming a member

Thank you:)

[pinklady]

*Reviews of books by Math Sorcerer.*

1. *"Contemporary Abstract Algebra"* by Joseph A. Gallian.
2. *"Approach to Abstract Algebra"* by W. W. Sawyer.
3. *"Galois Theory"* by Emil Artin.
4. *"Advances in Ring Theory"* by S. K. Jain & S. Tariq Rizvi.
5. *"Topics in Abstract Algebra"* by I. N. Herstein (Israel Nathan Herstein).
6. *"A First Course in Abstract Algebra"* by Hiram Paley & Paul M. Weichsel.
7. *"Abstract Algebra with a Concrete Introduction"* by John A. Beachy & William D. Blair.
8. *"A First Course in Abstract Algebra"* by John B. Fraleigh.
9. *"Algebra Volume 2"* by B. L. van der Waerden.
10. *"Abstract Algebra"* by David S. Dummit & Richard M. Foote.
11. *"Abstract Algebra, a First Course"* by Dan Saracino.
12. *"Introduction to Abstract Algebra"* by Roy Dubisch.
13. *"Algebra"* by Michael Artin.
14. *"Lectures in Abstract Algebra"* by Jacobson.
15. *"Abstract Algebra, an Introduction"* by Hungerford.
16. *"Modern Algebra, an Introduction"* by John R. Durbin.
17. *"Algebra through Practice, Book 2; Matrices and Vector Spaces"* by T. S. Blyth & E. F. Robertson.
18. *"Algebra through Practice, Book 5; Group"* by T. S. Blyth & E. F. Robertson.
19. *"The Theory of Rings"* by Neal H. McCoy.
20. *"Basic Algebra"* by Anthony W. Knapp.
21. *"Ring Theory"* by Ernest-August Behrens.
22. *"Topics in Ring Theory"* by Jacob Barshay.
23. *"Exercises in Classical Ring Theory"* by T. Y. Lam.
24. *"Ring Theory, "* edited by Robert Gordon.
25. *"Graduate Text in Mathematics, Algebra"* by Serge Lang.

Just re-edited above.

[connorjones]

You have more textbooks in one subject then I have for undergrad I love it

[savagemessiah.]

A Book of Abstract Algebra by Charles Pinter is a fantastic intro to abstract algebra. It's super cheap (dover), has tons of exercises and applications, and solutions to a lot of the exercises. Well written, too.

[JesseMaurais]

I've had an unusual love for terse literature from a young age. I don't know why. It just gets me excited like it was xmas eve. When I was an undergrad I used to visit the university bookstore daily, just to look at everything available. In particular the math section. And though I was a statistics/actuary major I was particularly fascinated by topics in pure mathematics and logic. (My logic fascination was largely satisfied by a minor in philosophy). The many texts by Springer and Birkhaus would interest me as much as they'd frighten others. Since graduation I've taken on the study of topics in math that I never got as part of stats: analysis, topology, abstract algebra. Honestly, I buy more books than I have time to read. But I thought that I had a lot of books until I saw this video.

Thanks for the reviews.

[fahimullah]

You are quite fascinated about Algebra just like me. I also got almost all the books like you do, although in pdf format. I plan to study Algebraic Geometry some day. Now focusing on some basic Algebra, learning from Saracino, later I will head on to something more serious

[Pete-Prolly]

I LOVE "1st Course..." by John B. Fraleigh!! I cannot book this book down, I take it with me everywhere! It's one of the few Math books I can read even if I don't have a pencil paper on me. I watched this video a while back & bought this (and quite a few others) from a thrift book store based on your recommendations. You are so helpful between the reviews, the motivating pep talks, the tutorials, all of it! Everyday I check out at least 1 of your videos or revisit an old one. Thanks for all!!

[mistymouse]

I really liked Martin Isaacs's “Algebra, ” which I read on my own after college.

It can be hard finding a math book with the right level of difficulty for oneself. I found Dummit and Foote’s book to be too easy. It was frustrating reading through so many pages more than necessary to explain something, and it was a chore hunting through a long list of trivial problems for something interesting.

Lang’s Algebra book on the other hand was too hard for me. I didn’t get far in that.

Like Goldilocks’s bed, Martin Isaacs's book was (for me) just right. The text was approachable but not overly wordy. And the problems were excellent. He only gave maybe 10 or so a chapter. The hardest might take me a day or so of contemplation before I got them, but they were all do-able, and when I struggled with a problem, it invariably revealed something in the text I’d missed or hadn’t fully appreciated.

I also appreciated the author’s unique introduction to module theory, starting with a chapter on “module theory without rings” which I found to be illuminating.

The main disappointment in the book for me was it didn’t cover linear algebra. Also, perhaps it was on the abstract side, not highlighting applications. But I found it to be excellent, and my favorite algebra text.

[leonardobranco]

This book by Emil Artin is psychedelic.
I would buy because of the cover.
Cool collection

[ljb]

I wish I own all these abstract algebra books. ha. I can't wait to see the reviews of these books.

[martinhawrylkiewicz]

I am really glad I have found your channel today, subscribed. I have 3 Abstract Algebra books but found them a bit difficult to understand or their approach. I have Topics in Algebra, and Abstract Algebra by I N Herstein...and Survey of Abstract Algebra by Birkoff and McLane..I think it's the first edition.

[zapazap]

The VON NOSTRAND publications are so beautifully typeset. I love them!

[billmorrigan]

Very good reviews. I'd also like to add that _Basic Algebra_ by Anthony W. Knapp has its continuation called _Advanced Algebra_ by the same author. It also has a lot of hints and partial solutions at the back. As to _Algebra through Practice_ by Blyth and Robertson, this series has 5 volumes and all are topnotch. All these are superb graduate-level texts and should be on the list of best textbooks for mathematicians.

I also agree that the textbook _Abstract Algebra_ by Gallian as well as similar texts by Fraleigh and Hungerford are the best beginner-mathematician level books (and can be used by non-mathematicians as well to learn abstract algebra). Yet they are comprehensive enough and they are superb to start from. I have to say that Gallian and Hungerford make their books super user-friendly as they provide a lot of hints and answers at the back, including partial proofs. This is the right approach. All textbooks should be like that, i.e., answer sections should not be too terse and should not leave all students in the dark if they don't happen to have an SM. Of course, it's fine not to have hints and even answers if the student has a solution manual - otherwise it's not okay. And not everybody has an SM on every textbook he/she uses. That's why Gallian's and Hungerford course books are pedagogically the best approach for students and people studying on their own. Plus, it's better to use hints and answers before reading the full solution in my opinion. It holds for proof exercises just as well.

[pichirisu]

The Hungerford book is really cool too. I'm trash at math and became a math major two semesters ago and I can read this shit with like two weeks of number theory and some math logic in my head. They even provide a summary of the prerequisites required to get a full grasp of Abstract Algebra.

[uabpsab]

"My" algebra book is Birkhoff & MacLane. The way category theory is presented is fenomenal! (IMHO)

[stlo]

Completely unrelated, but What voice/video recorder do you use?

[A_Helder]

Lovely collection, i like Morandi's Book of Galois Theory also.

[renioelgrande]

Awesome. I had a college friend who indulge in reading multiple math books about the same subject. He never finished one though. A professor told him once to focus on studying one book and learn very well the material instead of reading several books and learning little. It was true my friend was very familiar with material on real analysis, modern algebra and statistics but I would say he did not master the subject. As a professor what is your thoughts about learning from one book at a time vs reading multiple books at a time about the same subject. Lets say the subject is real analysis. Thanks in advance for your response!!

[eliasmai]

Serge Lang's Algebra text assume you have read his Undergraduate abstract algebra and Linear algebra first. It was stated in the preface of the book. Lang has his own way of presenting materials along with types of problems given. It takes a bit of getting used to.

[kalbininkas]

TMS: (Dummit and Foote) is the best graduate reference.
Lang: Am I a joke to you?

[samuelp.]

Which companion book would you recommend for someone who has Hungerford's Algebra (not Abstract Algebra an Introduction, but simply "Algebra"), already studied Group and Ring Theory (the basic stuff) and wants to understand Module Theory (including topics such as Nakayama's Lemma and Linear Algebra over Rings)?
Edit: After writing this comment and googling, I found this gem called "Module Theory: An Approach" by T.S. Blyth. This seems to be what I needed. Moreover, the book is free to download and some of its exercises have hints.
Nonetheless, you can give a suggestion of your own, if you want. I didn't delete the comment so that other people could benefit from it.