Algebra I Self-Study Book for Physics Students

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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.