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Miller Cheryl Chute. Essentials of Modern Algebra

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Miller Cheryl Chute. Essentials of Modern Algebra
2nd edition. — Mercury Learning & Information, 2019. — 356 p. — ISBN-10 1683922352 ISBN-13 978-1683922353.
This new edition is intended for the undergraduate one or two semester course in modern algebra, also called abstract algebra. It follows a logical path, using the axioms or rules to understand structures such as groups, rings, and fields, and giving the reader examples to help, but leaving many theorems and examples for them to try. The unique feature of the text is the list of “projects” at the end of each chapter that can be used in the classroom (with students solving them), alone, or in groups with the aid of an instructor. Because of their interactive nature, the projects are designed to reinforce previous concepts.
A logic-based presentation, with the structures of groups, rings, and fields presented in similar ways through objects, sub-objects, mappings
between objects, and quotients of objects
Follows a fairly straight path without many of the side areas, such as modules, in order to introduce Galois Theory and solvability of polynomials
Provides numerous examples, exercises, and the inclusion of “projects” in each chapter
Adds more, varied examples to use when illustrating ideas such as order of elements, direct products, and subgroups
Includes new material on the history of mathematics with vignettes of mathematicians
Provides instructor’s resources with solutions and PowerPoint slides for use as a textbook
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