By William Paulsen
The new version of Abstract Algebra: An Interactive Approach provides a hands-on and conventional method of studying teams, earrings, and fields. It then is going extra to supply non-compulsory know-how use to create possibilities for interactive studying and machine use.
This re-creation bargains a extra conventional technique supplying extra issues to the first syllabus put after fundamental subject matters are coated. This creates a extra usual circulation to the order of the themes offered. This version is reworked through old notes and higher causes of why subject matters are coated.
This leading edge textbook indicates how scholars can higher grab tough algebraic thoughts by using machine courses. It encourages scholars to scan with a variety of purposes of summary algebra, thereby acquiring a real-world standpoint of this area.
Each bankruptcy contains, corresponding Sage notebooks, conventional routines, and a number of other interactive laptop difficulties that make the most of Sage and Mathematica® to discover teams, jewelry, fields and extra topics.
This textual content doesn't sacrifice mathematical rigor. It covers classical proofs, comparable to Abel’s theorem, in addition to many 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. the writer additionally contains challenge sequences that permit scholars to delve into attention-grabbing themes, together with Fermat’s sq. theorem.
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Additional resources for Abstract Algebra: An Interactive Approach, Second Edition (Textbooks in Mathematics)
Abstract Algebra: An Interactive Approach, Second Edition (Textbooks in Mathematics) by William Paulsen