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Download E-books Abstract Algebra: An Interactive Approach (Textbooks in Mathematics) PDF

By William Paulsen

By integrating using hole and Mathematica®, Abstract Algebra: An Interactive Approach provides a hands-on method of studying approximately teams, earrings, and fields. each one bankruptcy comprises either hole and Mathematica instructions, corresponding Mathematica notebooks, conventional workouts, and a number of other interactive computing device difficulties that make the most of hole and Mathematica to discover teams and rings.

Although the publication offers the choice to take advantage of know-how within the lecture room, it doesn't sacrifice mathematical rigor. It covers classical proofs, equivalent to Abel’s theorem, in addition to many graduate-level subject matters now not 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 contains challenge sequences that permit scholars to delve into fascinating issues intensive, together with Fermat’s sq. theorem.

This cutting edge textbook indicates how scholars can higher grab tough algebraic innovations by utilizing desktop courses. It encourages scholars to scan with a variety of functions of summary algebra, thereby acquiring a real-world viewpoint of this area.

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