Contemporary Abstract Algebra by Joseph A. Gallian

Description

Contemporary Abstract Algebra, Tenth Edition For more than three decades, this classic text has been widely appreciated by instructors and students alike. The book offers an enjoyable read and conveys and develops enthusiasm for the beauty of the topics presented. It is comprehensive, lively, and engaging. The author presents the concepts and methodologies of contemporary abstract algebra as used by working mathematicians, computer scientists, physicists, and chemists. Students will learn show more how to do computations and to write proofs. A unique feature of the book are exercises that build the skill of generalizing, a skill that students should develop but rarely do. Applications are included to illustrate the utility of the abstract concepts. Examples and exercises are the heart of the book. Examples elucidate the definitions, theorems, and proof techniques; exercises facilitate understanding, provide insight, and develop the ability to do proofs. The exercises often foreshadow definitions, concepts, and theorems to come. Changes for the tenth edition include new exercises, new examples, new quotes, and a freshening of the discussion portions. The hallmark features of previous editions of the book are enhanced in this edition. These include: A good mixture of approximately 1900 computational and theoretical exercises, including computer exercises, that synthesize concepts from multiple chapters Approximately 300 worked-out examples from routine computations to the challenging Many applications from scientific and computing fields and everyday life Historical notes and biographies that spotlight people and events Motivational and humorous quotations Numerous connections to number theory and geometry While many partial solutions and sketches for the odd-numbered exercises appear in the book, an Instructor's Solutions Manual written by the author has comprehensive solutions for all exercises and some alternative solutions to develop a critical thought and deeper understanding. It is available from CRC Press only. The Student Solution Manual has comprehensive solutions for all odd-numbered exercises and many even-numbered exercises. Author Joseph A. Gallian earned his PhD from Notre Dame. In addition to receiving numerous national awards for his teaching and exposition, he has served terms as the Second Vice President, and the President of the MAA. He has served on 40 national committees, chairing ten of them. He has published over 100 articles and authored six books. Numerous articles about his work have appeared in the national news outlets, including the New York Times, the Washington Post, the Boston Globe, and Newsweek, among many others. show less

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danrk 57 reviews

This may be the best mathematics text I have ever learned from. The exploration of topics is very succinct and easily understood (still takes some serious thought to understand). It leads with examples and diagrams. It derives main results logically and they stand out from the rest of the text. The layout, font, and formatting are excellent and easy on the eyes. It also has many Beatles quotes -- a nice touch of levity. I've had many false starts with other texts, but this one drew me in completely. I judge other math books with this as a standard bearer now.

A small knock against this text is that the Hungerford book on Abstract Algebra does a better job of relating integer congruence to quotient groups. That text also has a nice chart show more relating integer, polynomial, ring, and group concepts. show less

Nov 13, 2016

paperkingdoms 44 reviews

This text was an excellent first pass at abstract algebra. There's a lot of exposition and a tremendous quantity of useful examples. There's a lot packed into the exercises. It's exceedingly readable.

Nov 16, 2005

stevetempo 254 reviews

I found this one very helpful in my study of this topic in grad school.

Nov 6, 2008