Welcome to MATH 4210/5210: Abstract Algebra I, this Fall 2024!
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Textbook
Abstract Algebra: Theory and Applications, 2022 edition by Tom Judson (abstract.ups.edu)
Guide to writing mathematics
- See Some guidelines for good mathematical writing by Francis Su for a 3-page introduction to writing mathematical prose
Review Discrete Structures
Other links
- NY Times article: Group Think by Steven Strogatz
Software
- Mathematica and Wolfram Alpha Pro are available at no charge to UMass students. They are useful for solving technical problems, obtaining step-by-step solutions, and more. To get access, go to www.wolfram.com/siteinfo and enter your UMass email. Learn how to use Mathematica at www.wolfram.com/wolfram-u/
Other resources
Other algebra lecture notes or textbooks
Nathan Carter’s Visual Group Theory textbook PDF (free access with UML login) and errata
Interactive online course on transformations and symmetry
Wikiversity Intro to group theory
Dana Ernst’s open-source inquiry based Abstract Algebra
Keith Conrad’s expository papers (many are on algebra)
Algebra lecture videos and podcasts
Matt Macauley’s Algebra class at Clemson (with lecture videos recorded in 2010)
Podcasts which go along with the chapters in Visual Group Theory textbook
Writing proofs
Advice on Mathematica Writing by Keith Conrad
Examples of proofs by induction by K. Conrad
Articles about groups
Group Think by Steven Strogatz
Software resources:
- Ground Explorer Visualization software for abstract algebra
- SageMath quick reference sheet for abstract algebra
- Group Theory and SAGE: A Primer by Robert Beezer from 2009
Drawing Figures with LaTeX
A simple visual editor for writing diagrams and converting it to Tikz github.com/yishn/tikzcd-editor, try it out at https://tikzcd.yichuanshen.de
Misc Algebra resources
Joseph Gallian’s website containing many resources related to his textbook
Jobs requiring math skills
Math students, connect with prospective employers here: MAA Career Resource Center
Miscellaneous
Use CamScanner app or another scan app to scan your hand-written homework into PDF.