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nexusstc/Abstract Algebra: An Interactive Approach/14fee090375a31e9742dab4c7eff61c5.pdf
Abstract Algebra: An Interactive Approach (Textbooks in Mathematics) 🔍
Paulsen, William, Paulsen, William CRC Press, Taylor & Francis, Textbooks in Mathematics, Har/Cdr, 2009
英语 [en] · PDF · 2.6MB · 2009 · 📘 非小说类图书 · 🚀/lgli/lgrs/nexusstc/zlib · Save
描述
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.
备用文件名
lgli/14fee090375a31e9742dab4c7eff61c5.pdf
备用文件名
lgrsnf/14fee090375a31e9742dab4c7eff61c5.pdf
备用文件名
zlib/Mathematics/Algebra/William Paulsen/Abstract Algebra: An Interactive Approach_2223247.pdf
备用出版商
Technomic Publishing Co., Inc.
备用出版商
Chapman & Hall/CRC
备用出版商
CRC Press LLC
备用版本
Textbooks in mathematics, Textbooks in mathematics (Boca Raton, Fla.), Boca Raton, Florida, 2010
备用版本
CRC Press (Unlimited), Boca Raton, Fla, 2010
备用版本
United States, United States of America
备用版本
1, 2009-07-29
备用版本
1, FR, 2009
元数据中的注释
0
元数据中的注释
lg1054252
元数据中的注释
{"edition":"har/cdr","isbns":["1420094521","9781420094527"],"last_page":560,"publisher":"CRC Press","series":"Textbooks in Mathematics"}
元数据中的注释
"A Chapman & Hall book."
Includes bibliographical references and index.
元数据中的注释
Includes bibliographical references and index.
备用描述
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.
备用描述
Presents a hands-on approach to learning about groups, rings and fields. This work discusses topics such as semi-direct products and skew fields, and includes many diagrams produced by Mathematica to help readers visualize difficult concepts.
开源日期
2013-12-05
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