Abstract Algebra Book with Full Solutions to All Proofs

In this video I go over an abstract algebra book that has full complete proofs to every single problem in the book.

The book is called Algebra Through Practice, and it is Book 6 which covers Rings, Fields, and Modules. It was written by Blyth and Robertston.

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[pinklady]

The future me will have read that book — that is my mental visualisation or positive thinking.

[ianmii]

This is beautiful. I wish all math books would have detailed, full explicit solutions (developed steps) for all the exercises (examples), so we can learn how to solve them and gaining mathematical skills in the least time possible. I mean, à la Schaum's Outlines. :)

[chrisdesrochers]

I believe your comment about there being an understatement as far as the book being designed for average students, but with some more difficult problems. The series itself as I remember looking at them today and purchasing the first three pace themselves to be more basic in the earlier volumes, yet, by the 6th volume the series anticipates that these problems in general will be more difficult.


The text you referred to including the text that follows explains:



"The majority of the material is aimed at the student of average ability but there are some more challenging problems. By working through the books, the student will gain a deeper understanding of the fundamental concepts involved, and practice in the formulation, and so solution, of other algebraic problems. ***Later books in the series cover material at a more advanced level than the earlier titles, although each is, within its own limits, self-contained."***

The statement following the *** describes why the problems in your edition felt like there were more than a fair share of difficult problems. ... Or so it seems to me :)

[jake_runs_the_world]

I'm planning on self studying the entire undergrad math curriculum, could you please give me some advice?

[wajeehrizvi]

could you please do a video on fields?

[AxcessVR]

Could you do a video about combinatorics if possible?

[RamonCamposMathisLife]

Hello MathSorcerer, i really like your videos. I'm very happy with your channel content. Can you help me? I want to know which Analysis book, is like this one, through practice, because I only found one. Its name is Problem Book in Analysis but do you have a collection like this in Analysis. Thank you for your videos!

[pnarvaez]

Would you know the difference between modern abstract algebra and modern algebra? My university offers both and I wanted to know the difference. Thank you

[bedashrutiray]

Sir can you suggest a real analysis book or calculus book like this? where we can find a good graphical approach of the proofs of limit continuity and differentiability

[lemyul]

that's because they are on chegg :))

[tauceti]

Obviously this book needs to be burned.
How dare we not leave the answers to the reader!!!
Hahaha.