Exploring Abstract Algebra With Mathematica R
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Exploring Abstract Algebra With Mathematica®
Author: Allen C. Hibbard
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-12-06
• What is Exploring Abstract Algebra with Mathematica? Exploring Abstract Algebra with Mathematica is a learning environment for introductory abstract algebra built around a suite of Mathematica packages enti tled AbstractAlgebra. These packages are a foundation for this collection of twenty-seven interactive labs on group and ring theory. The lab portion of this book reflects the contents of the Mathematica-based electronic notebooks con tained in the accompanying CD-ROM. Students can interact with both the printed and electronic versions of the material in the laboratory and look up details and reference information in the User's Guide. Exercises occur in the stream of the text of labs, providing a context in which to answer. The notebooks are designed so that the answers to the questions can either be entered into the electronic notebook or written on paper, whichever the instructor prefers. The notebooks support versions 2. 2 and 3. 0-4. 0 and are compatible with all platforms that run Mathematica. This work can be used to supplement any introductory abstract algebra text and is not dependent on any particular text. The group and ring labs have been cross referenced against some of the more popular texts. This information can be found on our web site at http://www . central. edu/eaarn. htrnl (which is also mirrored at http://www . urnl. edu/Dept/Math/eaarn/eaarn. htrnl). If your favorite text isn't on our list, it can be added upon request by contacting either author.
An Introduction to Programming with Mathematica®
Author: Paul R. Wellin
language: en
Publisher: Cambridge University Press
Release Date: 2005-01-13
Ideal for those wishing a deeper understanding of Mathematica programming, with software support and solutions to exercises available on the web.
Exploring Linear Algebra
This text focuses on the primary topics in a first course in Linear Algebra. The author includes additional advanced topics related to data analysis, singular value decomposition, and connections to differential equations. This is a lab text that would lead a class through Linear Algebra using Mathematica® demonstrations and Mathematica® coding. The book includes interesting examples embedded in the projects. Examples include the discussions of “Lights Out”, Nim, the Hill Cipher, and a variety of relevant data science projects. The 2nd Edition contains: Additional Theorems and Problems for students to prove/disprove (these act as theory exercises at the end of most sections of the text) Additional sections that support Data Analytics techniques, such as Kronecker sums and products, and LU decomposition of the Vandermonde matrix Updated and expanded end-of-chapter projects Instructors and students alike have enjoyed this popular book, as it offers the opportunity to add Mathematica® to the Linear Algebra course. I would definitely use the book (specifically the projects at the end of each section) to motivate undergraduate research.—Nick Luke, North Carolina A&T State University.