Download PDF by William Paulsen: Abstract Algebra: An Interactive Approach (Textbooks in

By William Paulsen

ISBN-10: 1420094521

ISBN-13: 9781420094527

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 routines, and several other interactive desktop difficulties that make the most of hole and Mathematica to discover teams and rings.

Although the booklet supplies the choice to take advantage of know-how within the lecture room, it doesn't sacrifice mathematical rigor. It covers classical proofs, corresponding 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 accommodates challenge sequences that let scholars to delve into fascinating issues intensive, together with Fermat’s sq. theorem.

This leading edge textbook exhibits how scholars can larger clutch tricky algebraic thoughts by utilizing machine 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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Abstract Algebra: An Interactive Approach (Textbooks in Mathematics) by William Paulsen

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