The Best Beginner Book to Learn Abstract Algebra 'Abstract Algebra A First Course by Dan Saracino'

The Best Beginner Book to Learn Abstract Algebra " Abstract Algebra A First Course by Dan Saracino"

This is the book I learned Abstract Algebra from years ago. If I had to pick a personal favorite this would be it. Compared to other books it is very easy to read and I highly recommend it if you are just starting out. In this video I go over the pros and cons of the book.

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I hope you find this video helpful and please leave any questions or comments in the comment section below. Thank you:)

[razvanbirisan]

The 2nd edition has 5 more sections. Galois theory included.

[mariangloser]

It seems like a really nice book. I would definitely read it if I had it (which I unfortunately don't). Anyway, I started with A Book of Abstract Algebra by Charles C. Pinter and it is also a great introduction. For me it is also interesting because it goes also into Galois theory, which is pretty neat.

[TheEndernal]

Just read chapter 1 and 2 and WOW it is so readable

[jimmyjonestodd]

You should also do a layout of what are the more crucial concepts to learn from the books you review. The issue I run into self learning is that most material is dense and classes are designed to show you what are the important take aways. Like creating a tier list of ideas from each book. Giving some structure would be extremely helpful for us autodidactic people.

[jesusmtz]

I feel so old lol. This is the first book that truly beat my butt because it was the first book I was introduced to that I intended to read truly thoroughly

[dallacostal]

In my little experience of student, this book looks intimidating! Took a course last year based on "basic algebra 1" by nathan jacobson and that was hard to digest, if there wasn't professor to explain the concepts i doubt i would have understood anything from the text only. This textbook reminds me of that: dense as hell, and few excercises to work with.
A suggestion: I took another course of abstract algebra, and the book we used was "algebra e matematica discreta" (algebra and discrete matematics for engineers, mathematicians ecc.ecc), sorry it's writte in italian (i don't know anything about the eventual existence of other versions in foreign languages) but in that book there's a LOT of exercises, step by step solutions, and so on. I found it tricky by the first time i approched it, some years ago now, but i keep coming back to that book, soon or later, to check some basic results, and i find it super super clear. More than that i personally approve the choice of arguments that are contained, some other results like sylows groups may be difficult for a beginner

[krishanlal]

There is also a book called enquiry based approach to abstract algebra. Though i havenot read it, but just glanced through it. They motivate every concept by some exercise which leads to that theorem

[MorganC-zzbg]

Hands down the best book for the beginner. A shame it isn't used more often, as any additional material could easily be supplemented in.

[ShinXiao]

What are the mathematical prerequisites to know before starting to learn Abstract Algebra?

[Prof_Jeff]

This was my undergraduate Modern Algebra text, too, albeit an earlier edition (the cover is green). I actually have this edition as well. I agree with you that it is lacking; I didn't know anything about rings until graduate school, but for group theory, this covers a lot of ground.

[dlgang]

Yes that is a very good starter book ... and Dummitt and Foote's is the best overall!

[macropusmacropode]

Michael Spivak is one the masters of mathematical writing. Even his physics book (classical mechanics) is enlightening and tasteful.

[charugulati]

Sir can u plz tell the sequence of books that we should refer for abstract algebra especially from the context of beginners.

[waynelast]

Does this book cover modules, lattices, fields, vector spaces? If not, why not? Tensors calculus is part of what mathematics branch? Linear algebra?

[antoniomantovani]

To me
0.) Relations (equivalence, order, class of equivalence) functions.
1.) Sets
2.) Algebric structures
a.) groups
b.) rings
c.) fields
But every subject it's a new Book
Not bad saracino, but not deep

[waynelast]

3:30 I can't understand exactly what you say? Do you say "....like field theory..." or is it something else field theory?

[alejandroruiz]

Is it a good idea to study abstract algebra to gain math maturity? I'm looking for any topic in math, my goal is just to develop that math thinking. I want something else before going directly to real analysis.

[antoniomantovani]

its a bit confused.
for example, on binary operations, it says that are only internal, and its not so. Even so its not bad

[blackeyedmitch]

Do you have any recommendations for advanced calc/ real analysis?

[johnunbehaun]

Get second edition, five new sections on Galois theory.