Normal view MARC view ISBD view

Abstract algebra: an interactive approach

By: Paulsen, William.
Material type: materialTypeLabelBookSeries: Textbooks in Mathematics.Publisher: New York CRC press 2016Edition: 2nd.Description: xxix, 619 p.ISBN: 9781498719766.Subject(s): Abstract algebra | Mathematics | Factorization - Algebra | Mathematics - AlgebraDDC classification: 512.02 Summary: By integrating the use of GAP and Mathematica®, Abstract Algebra: An Interactive Approach presents a hands-on approach to learning about groups, rings, and fields. Each chapter includes both GAP and Mathematica commands, corresponding Mathematica notebooks, traditional exercises, and several interactive computer problems that utilize GAP and Mathematica to explore groups and rings. Although the book gives the option to use technology in the classroom, it does not sacrifice mathematical rigor. It covers classical proofs, such as Abel’s theorem, as well as many graduate-level topics not found in most standard introductory texts. The author explores semi-direct products, polycyclic groups, Rubik’s Cube®-like puzzles, and Wedderburn’s theorem. He also incorporates problem sequences that allow students to delve into interesting topics in depth, including Fermat’s two square theorem. This innovative textbook shows how students can better grasp difficult algebraic concepts through the use of computer programs. It encourages students to experiment with various applications of abstract algebra, thereby obtaining a real-world perspective of this area. https://www.crcpress.com/Abstract-Algebra-An-Interactive-Approach/Paulsen-Paulsen/p/book/9781420094527
Tags from this library: No tags from this library for this title. Log in to add tags.
    average rating: 0.0 (0 votes)
Item type Current location Item location Collection Call number Status Date due Barcode
Books Vikram Sarabhai Library
Slot 1361 (0 Floor, East Wing) Non-fiction 512.02 P2A2 (Browse shelf) Available 195133

By integrating the use of GAP and Mathematica®, Abstract Algebra: An Interactive Approach presents a hands-on approach to learning about groups, rings, and fields. Each chapter includes both GAP and Mathematica commands, corresponding Mathematica notebooks, traditional exercises, and several interactive computer problems that utilize GAP and Mathematica to explore groups and rings.

Although the book gives the option to use technology in the classroom, it does not sacrifice mathematical rigor. It covers classical proofs, such as Abel’s theorem, as well as many graduate-level topics not found in most standard introductory texts. The author explores semi-direct products, polycyclic groups, Rubik’s Cube®-like puzzles, and Wedderburn’s theorem. He also incorporates problem sequences that allow students to delve into interesting topics in depth, including Fermat’s two square theorem.

This innovative textbook shows how students can better grasp difficult algebraic concepts through the use of computer programs. It encourages students to experiment with various applications of abstract algebra, thereby obtaining a real-world perspective of this area.

https://www.crcpress.com/Abstract-Algebra-An-Interactive-Approach/Paulsen-Paulsen/p/book/9781420094527

There are no comments for this item.

Log in to your account to post a comment.

Powered by Koha