Introduction to Abstract Algebra,Used

Introduction to Abstract Algebra,Used

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Praise for the Third Edition". . . an expository masterpiece of the highest didactic value that has gained additional attractivity through the various improvements . . ."Zentralblatt MATHThe Fourth Edition of Introduction to Abstract Algebra continues to provide an accessible approach to the basic structures of abstract algebra: groups, rings, and fields. The book's unique presentation helps readers advance to abstract theory by presenting concrete examples of induction, number theory, integers modulo n, and permutations before the abstract structures are defined. Readers can immediately begin to perform computations using abstract concepts that are developed in greater detail later in the text.The Fourth Edition features important concepts as well as specialized topics, including:The treatment of nilpotent groups, including the Frattini and Fitting subgroupsSymmetric polynomialsThe proof of the fundamental theorem of algebra using symmetric polynomialsThe proof of Wedderburn's theorem on finite division ringsThe proof of the WedderburnArtin theoremThroughout the book, worked examples and realworld problems illustrate concepts and their applications, facilitating a complete understanding for readers regardless of their background in mathematics. A wealth of computational and theoretical exercises, ranging from basic to complex, allows readers to test their comprehension of the material. In addition, detailed historical notes and biographies of mathematicians provide context for and illuminate the discussion of key topics. A solutions manual is also available for readers who would like access to partial solutions to the book's exercises.Introduction to Abstract Algebra, Fourth Edition is an excellent book for courses on the topic at the upperundergraduate and beginninggraduate levels. The book also serves as a valuable reference and selfstudy tool for practitioners in the fields of engineering, computer science, and applied mathematics.

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Frequently Asked Questions

  • Q: What topics are covered in 'Introduction to Abstract Algebra'? A: The book covers fundamental topics such as groups, rings, and fields, along with specialized subjects like nilpotent groups, symmetric polynomials, and the proof of the fundamental theorem of algebra.
  • Q: Is this book suitable for beginners in abstract algebra? A: Yes, the Fourth Edition is designed to be accessible for upper-undergraduate and beginning-graduate students, providing a clear approach to complex abstract concepts.
  • Q: How many pages does the book have? A: The book contains 560 pages, offering a comprehensive exploration of abstract algebra.
  • Q: What is the binding type of the book? A: The book is available in hardcover binding, providing durability for frequent use.
  • Q: Who is the author of 'Introduction to Abstract Algebra'? A: The book is authored by W. Keith Nicholson, a knowledgeable figure in the field of mathematics.
  • Q: When was the Fourth Edition published? A: The Fourth Edition was published on March 20, 2012.
  • Q: Are there any exercises included in the book? A: Yes, the book includes a wealth of computational and theoretical exercises that range from basic to complex, allowing readers to test their understanding of the material.
  • Q: Is there a solutions manual available for this book? A: Yes, a solutions manual is available for readers who wish to access partial solutions to the book's exercises.
  • Q: What makes this book different from other algebra textbooks? A: The unique presentation of concepts through concrete examples and historical notes, along with a focus on practical applications, distinguishes this book from others.
  • Q: Can this book be used as a reference for professionals? A: Yes, it serves as a valuable reference and self-study tool for practitioners in engineering, computer science, and applied mathematics.