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Get Abstract Algebra: An Interactive Approach (Textbooks in PDF

By William Paulsen

ISBN-10: 142009453X

ISBN-13: 9781420094534

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

Although the ebook supplies the choice to exploit expertise 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 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 attention-grabbing subject matters intensive, together with Fermat’s sq. theorem.

This cutting edge textbook exhibits how scholars can larger snatch tricky algebraic options by utilizing machine courses. It encourages scholars to test with numerous functions of summary algebra, thereby acquiring a real-world viewpoint of this area.

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Extra resources for Abstract Algebra: An Interactive Approach (Textbooks in Mathematics)

Example text

9• •1 8 • • 2 7 • • 3 • 4 • 5 This graph allows us to visualize powers of 3 in the group Z10 . If we follow the arrows starting with 0, we have the sequence {0, 3, 6, 9, 2, 5, 8, 1, 4, 7, 0 .

1. 1, taken from the animation close to the completion of each step. Terry can combine these dance steps to form a dance routine. But in any routine, the ending position of the triangle is the same as that of performing just one dance step. Thus, when the triangle gets “lazy,” it can perform just one dance step instead of several. 1: Terry’s dance steps RotRt rotate clockwise 120 degrees. RotLft rotate counterclockwise 120 degrees. Spin spins in three dimensions, keeping the top fixed.

1. 1, taken from the animation close to the completion of each step. Terry can combine these dance steps to form a dance routine. But in any routine, the ending position of the triangle is the same as that of performing just one dance step.

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Abstract Algebra: An Interactive Approach (Textbooks in Mathematics) by William Paulsen


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