What Are the Best Online Resources for Learning Abstract Algebra?

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SUMMARY

The discussion centers on the best online resources for learning Abstract Algebra, specifically focusing on websites that provide explanations, examples, and problem-solving tools. Key resources include the study guide at Northern Illinois University, which offers comprehensive materials including exercises and proofs. Additional valuable links include Java applets for subgroup analysis at ASU and group theory notes tailored for physics and chemistry students. These resources collectively enhance understanding of Abstract Algebra concepts and applications.

PREREQUISITES
  • Basic understanding of mathematical concepts such as groups and subgroups.
  • Familiarity with Java applets for interactive learning.
  • Knowledge of proofs and exercises in mathematics.
  • Experience with online educational resources and study guides.
NEXT STEPS
  • Explore the study guide at Northern Illinois University for structured learning.
  • Utilize Java applets from ASU to visualize subgroup structures.
  • Review group theory notes available at ASU for advanced insights.
  • Investigate applications of group theory in physics and chemistry through dedicated resources.
USEFUL FOR

Students and educators in mathematics, particularly those focusing on Abstract Algebra, as well as anyone seeking to deepen their understanding of group theory and its applications in various fields.

NukeEng101
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I was wondering if anyone knew any links on the Internet that help to explain abstract algebra and maybe works through some problems as well. Thank you in advance
 
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NukeEng101 said:
I was wondering if anyone knew any links on the Internet that help to explain abstract algebra and maybe works through some problems as well. Thank you in advance

Here are a couple of links that have helped me a lot. Some of them may be notes while some others are proofs and yet still others are applets to know the subgroups of a group and such. Check them out
http://www.cs.dartmouth.edu/~afra/goodies/abstract.pdf

1.Websites using java applets that give the table, the subgroups, the cosets and such of subgroups up to order 15
http://hobbes.la.asu.edu/groups/groups.html
http://math.ucsd.edu/~jwavrik/Groups15/Groups15.html

2. This is probably the most useful website because it is a study guide with examples, exercises, proofs, definitions and more
http://www.math.niu.edu/~beachy/aaol/contents.html#index
http://marauder.millersville.edu/~bikenaga/abstractalgebra/abstractalgebranotes.html

Dihedral group http://www.math.wisc.edu/~ram/math541F03/dhdl.pdf

Groups and Symmetry http://www.maths.gla.ac.uk/~ajb/dvi-ps/2q-notes.pdf

Intro to group theory http://www.math.drexel.edu/~rboyer/courses/math533_03/new_lec.pdf

Java Applet to examine finite groups of order 1 to 15 (group tables, subgroups, cosets. http://math.ucsd.edu/~jwavrik/Groups15/Groups15.html#Instructions

Group Theory notes for physics and chemistry students (applications?) http://www.win.tue.nl/~amc/ow/gpth/reader.pdf

Group Theory notes http://math.la.asu.edu/~quigg/teach/courses/444/2001s/lectures/groups.pdf http://www.maths.tcd.ie/~dwilkins/Courses/311/311S1_0708.pdf

Dihedral groups and inner automorphisms http://www.ms.uky.edu/~ochanine/107/dihedral.pdf

Abstract algebra webpage http://people.brandeis.edu/~igusa/Math30F06/Math30aF2006.htm
 
Last edited by a moderator:
Thank you so much! These sites will be very helpful.
 

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