Title
A Book of Abstract Algebra: Second Edition (Dover Books on Mathematics),New
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Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easytoread treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. Intended for undergraduate courses in abstract algebra, it is suitable for junior and seniorlevel math majors and future math teachers. This second edition features additional exercises to improve student familiarity with applications.An introductory chapter traces concepts of abstract algebra from their historical roots. Succeeding chapters avoid the conventional format of definitiontheoremproofcorollaryexample; instead, they take the form of a discussion with students, focusing on explanations and offering motivation. Each chapter rests upon a central theme, usually a specific application or use. The author provides elementary background as needed and discusses standard topics in their usual order. He introduces many advanced and peripheral subjects in the plentiful exercises, which are accompanied by ample instruction and commentary and offer a wide range of experiences to students at different levels of ability.
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- Q: What topics are covered in 'A Book of Abstract Algebra'? A: The book covers all topics typically included in an undergraduate course on abstract algebra, including group theory, ring theory, and field theory, presented in an accessible manner.
- Q: What is the target audience for this book? A: This book is intended for junior- and senior-level math majors and future math teachers seeking a rigorous yet intuitive introduction to abstract algebra.
- Q: Is this book suitable for self-study? A: Yes, the book's clear explanations and ample exercises make it suitable for self-study, aiding learners who want to grasp abstract algebra concepts independently.
- Q: What is unique about the teaching approach in this book? A: The author uses a discussion-based approach rather than the standard definition-theorem-proof format, which helps engage students and provide motivation for learning.
- Q: Are there exercises included in the book? A: Yes, the second edition features additional exercises designed to improve student familiarity with applications of abstract algebra concepts.
- Q: What is the format of the book? A: The book is available in paperback format, making it easy to handle and read.
- Q: When was the second edition published? A: The second edition of 'A Book of Abstract Algebra' was published on January 14, 2010.
- Q: Who is the author of this book? A: The author of 'A Book of Abstract Algebra' is Charles C Pinter, known for his clear writing style and effective teaching methods.
- Q: Does this book provide historical context for abstract algebra? A: Yes, it includes an introductory chapter that traces the historical roots of abstract algebra concepts, providing valuable context for learners.
- Q: What level of mathematical background is required to understand this book? A: A basic understanding of undergraduate-level mathematics is recommended, as the book introduces standard topics in their usual order while also providing necessary background.