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Abstract Algebra: Theory and Applications
Read the Fine Print
Some Rights Reserved
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This text is intended for a one- or two-semester undergraduate course in abstract algebra. Traditionally, these courses have covered the theoretical aspects of groups, rings, and fields. However, with the development of computing in the last several decades, applications that involve abstract algebra and discrete mathematics have become increasingly important, and many science, engineering, and computer science students are now electing to minor in mathematics. Though theory still occupies a central role in the subject of abstract algebra and no student should go through such a course without a good notion of what a proof is, the importance of applications such as coding theory and cryptography has grown significantly.

Subject:
Algebra
Mathematics
Material Type:
Textbook
Provider:
University of Puget Sound
Author:
Thomas Judson
Date Added:
01/01/2016
Computing the Symmetry Group of the Tetrahedron using Origami.pdf
Unrestricted Use
CC BY
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Instructions for building and utilizing an origami tetrahedron in order to better understand the rotational symmetry group of a tetrahedron in abstract algebra.

Subject:
Mathematics
Material Type:
Homework/Assignment
Lesson
Student Guide
Author:
Katelyn Wilcken
Andrew Misseldine
Date Added:
05/30/2018
Elements of Abstract and Linear Algebra
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Elements of Abstract and Linear Algebra is a book written by Dr. Edwin Connell, a professor emeritus in the math department at the University of Miami. Published in December 2001, it can be obtained free of charge from this Web site. Dr. Connell even encourages printing and distributing the book as an inexpensive resource for college students. The text is divided into sections that can be downloaded separately or as a whole. There are many theorems, proofs, and exercises throughout the book that illustrate the underlying concepts. The book is offered in four formats; so, most computers should be able to view it with no problems.

Subject:
Algebra
Mathematics
Material Type:
Textbook
Provider:
University of Miami
Provider Set:
University of Miami Department of Mathematics
Author:
Connell, Edwin.
Edwin H. Connell
Date Added:
02/16/2011
Examples and Exercises from AATA.pdf
Unrestricted Use
CC BY
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This group created a peer-reviewed, solution manual
supplement to the textbook. They decided upon the exercises and concepts they individually struggled with the most throughout the semester (imagining other students would equally struggle) and they created detailed solutions and other commentary to explain their answers, thoughts, and methods. Then the group members swapped their work and peer-reviewed each other. All the materials were then seamed together as a single document. The source LaTeX file can be downloaded at https://drive.google.com/file/d/1-8CRkOoKBWMiGGfYRzXyVd9freJN745N/view.

Subject:
Mathematics
Material Type:
Homework/Assignment
Student Guide
Author:
Andrew Misseldine
Garrett Mackelprang
Lynsday Winslow
Curtic Holt
Date Added:
05/30/2018
History of Algebra
Unrestricted Use
CC BY
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A interactive map through ArcGIS Online chronocling the history of algebra up to the birth of abstract algebra with Galois. A transcript of the map can be found at https://drive.google.com/file/d/1-Bumff6Abv1Of8yT418Dtfk1gUDOT6k1/view.

Subject:
Mathematics
Material Type:
Interactive
Author:
Danielle Smith
Andrew Misseldine
Date Added:
05/30/2018
Idempotency.pdf
Unrestricted Use
CC BY
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A poem about mathematics, set theory, and how idempotent operations begins us all together.

Subject:
Mathematics
Material Type:
Reading
Author:
Andrew Misseldine
Joseph Argyle
Date Added:
05/30/2018
cyclicProductCalculator 2.0.txt
Unrestricted Use
CC BY
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A java code for computing permutation algebra using standard cycle notation (right to left). The first version was produced during Fall 2017 and the second version was produced during Spring 2018. Version 2.0 is available for download (Readme can be found at https://drive.google.com/file/d/1-Mz6-6lMd2kL6WiWI4VnBuhclZ3C1dAw/view).

Subject:
Mathematics
Material Type:
Homework/Assignment
Interactive
Student Guide
Author:
Andrew Misseldine
Becca Black
Date Added:
05/30/2018