Algebra I Self-Study Book for Physics Students

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For self-study in algebra, particularly for topics like integers, groups, rings, fields, polynomials' rings, and partially ordered sets, a recommended resource is "An Introduction to Abstract Algebra" by a University of Calgary professor. This book is praised for its comprehensive introductory section covering essential concepts such as notation, sets, proof techniques, mappings, and relations, making it suitable for those with a background in linear algebra and multivariate calculus. While the book may be found at a high price on Amazon, it's suggested to look for more affordable options.
Tosh5457
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I need a book to self-study, because in Physics we don't have this discipline. The only mathematics I learned were linear algebra and calculus for multivariate functions. The things I need to know are (these is my university's Algebra I):

- Integers
- Groups, rings and fields
- Polynomials' ring
- Partially ordered sets

Thanks :smile:
 
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I would highly recommend a book written by a professor at the University of Calgary, who I actually have the privilege of taking Algebra I and II with, called "An Introduction to Abstract Algebra". http://www.amazon.com/dp/0471331090/?tag=pfamazon01-20

It has a very good introductory section that introduces notation and any pre-requisite knowledge on Sets, Proof Techniques, Mappings, Relations, etc. before actually jumping into the content and it is highly recommended for self study. I'm sure you can find a cheaper version somewhere... that is an extremely overpriced copy listed on amazon.
 
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