By William Paulsen
By integrating using hole and Mathematica®, Abstract Algebra: An Interactive Approach offers a hands-on method of studying approximately teams, jewelry, and fields. every one bankruptcy contains either hole and Mathematica instructions, corresponding Mathematica notebooks, conventional workouts, and several other interactive computing device difficulties that make the most of hole and Mathematica to discover teams and rings.
Although the booklet offers the choice to exploit expertise within the lecture room, it doesn't sacrifice mathematical rigor. It covers classical proofs, akin to Abel’s theorem, in addition to many graduate-level 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. He additionally comprises challenge sequences that permit scholars to delve into fascinating subject matters intensive, together with Fermat’s sq. theorem.
This cutting edge textbook indicates how scholars can greater take hold of tricky algebraic strategies by utilizing laptop courses. It encourages scholars to test with quite a few functions of summary algebra, thereby acquiring a real-world point of view of this area.
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Extra resources for Abstract Algebra: An Interactive Approach (Textbooks in Mathematics)
Abstract Algebra: An Interactive Approach (Textbooks in Mathematics) by William Paulsen