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 comprises 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 publication provides the choice to take advantage of know-how within the lecture room, it doesn't sacrifice mathematical rigor. It covers classical proofs, comparable to Abel’s theorem, in addition to many graduate-level themes 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 accommodates challenge sequences that permit scholars to delve into fascinating subject matters intensive, together with Fermat’s sq. theorem.
This cutting edge textbook exhibits how scholars can greater seize tough algebraic options by using computing device courses. It encourages scholars to scan with a variety of functions of summary algebra, thereby acquiring a real-world standpoint of this area.
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Additional info for Abstract Algebra: An Interactive Approach (Textbooks in Mathematics)
Abstract Algebra: An Interactive Approach (Textbooks in Mathematics) by William Paulsen