By William Paulsen
The new version of Abstract Algebra: An Interactive Approach provides a hands-on and standard method of studying teams, earrings, and fields. It then is going extra to supply non-compulsory know-how use to create possibilities for interactive studying and laptop use.
This new version bargains a extra conventional procedure delivering extra issues to the first syllabus put after fundamental subject matters are coated. This creates a extra traditional circulation to the order of the topics offered. This version is remodeled through historic notes and higher factors of why issues are coated.
This leading edge textbook exhibits how scholars can larger take hold of tough algebraic recommendations by using laptop courses. It encourages scholars to scan with quite a few functions of summary algebra, thereby acquiring a real-world point of view of this area.
Each bankruptcy contains, corresponding Sage notebooks, conventional routines, and several other interactive desktop difficulties that make the most of Sage and Mathematica® to discover teams, earrings, fields and extra topics.
This textual content doesn't sacrifice mathematical rigor. It covers classical proofs, comparable to Abel’s theorem, in addition to many issues no longer present in most traditional introductory texts. the writer explores semi-direct items, polycyclic teams, Rubik’s Cube®-like puzzles, and Wedderburn’s theorem. the writer additionally accommodates challenge sequences that permit scholars to delve into fascinating themes, together with Fermat’s sq. theorem.
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Abstract Algebra: An Interactive Approach, Second Edition (Textbooks in Mathematics) by William Paulsen