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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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- Q: How many pages does the book contain? A: The book has five hundred sixty pages. This length allows for comprehensive coverage of abstract algebra topics.
- Q: What are the dimensions of the book? A: The book measures seven point one inches in length, one point four two inches in width, and ten point one inches in height. These dimensions make it a standard hardcover size, suitable for academic use.
- Q: What type of binding does this book have? A: It features a hardcover binding. This provides durability and protection for the pages, making it ideal for frequent use.
- Q: Is this book suitable for beginners? A: Yes, it is suitable for beginners as well as more advanced students. The book presents concepts in an accessible manner, progressing from concrete examples to abstract theory.
- Q: What topics are covered in this book? A: The book covers essential topics such as groups, rings, and fields in abstract algebra. It also includes advanced topics like nilpotent groups and the fundamental theorem of algebra.
- Q: Can this book be used for self-study? A: Yes, it is an excellent resource for self-study. The inclusion of worked examples and exercises enables independent learners to grasp abstract concepts effectively.
- Q: How do I keep the book in good condition? A: To keep the book in good condition, store it in a cool, dry place and avoid exposing it to direct sunlight. Handle it carefully to prevent damage to the spine and pages.
- Q: Is this book safe for all age groups? A: Yes, the book is appropriate for upper-undergraduate and beginning-graduate levels. It is also suitable for anyone interested in mathematics, including practitioners in engineering and computer science.
- Q: What should I do if the book arrives damaged? A: If the book arrives damaged, contact the seller for a return or replacement. Most sellers have a return policy that addresses damaged items.
- Q: Does this book include exercises? A: Yes, it includes a wealth of computational and theoretical exercises. These range from basic to complex, allowing readers to test their understanding.
- Q: Are there historical notes in the book? A: Yes, the book contains detailed historical notes and biographies of mathematicians. This context enriches the discussion of key topics in abstract algebra.
- Q: Is there a solutions manual available? A: Yes, a solutions manual is available for readers. This manual provides access to partial solutions for the book's exercises, aiding in comprehension.
- Q: What makes this book unique? A: The book's unique presentation helps readers transition from concrete examples to abstract concepts. This approach facilitates understanding of complex mathematical structures.
- Q: Who is the author of this book? A: The author is W. Keith Nicholson. He is recognized for his expertise in abstract algebra and has contributed significantly to the field.
- Q: What is the main focus of the book? A: The main focus is on providing an accessible approach to abstract algebra. It emphasizes understanding through examples and applications.