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An easytouse, selfstudy guide to abstract algebra and its applications.Groups, rings, and fields are fast becoming vital in a wide range of applications utilizing mathematical modelsin computer science, physics, chemistry, and engineering. This new edition of a proven text offers systematic, concise, easytounderstand explanations for these basic structures of abstract algebra suitable for selfstudy. Revised and refined to be accessible even to readers with only rudimentary college algebra, the Second Edition carefully balances coverage of groups, rings, and fields and uses realworld problems to illustrate the theory. Concrete examples such as number theory, integers modulo n, and permutations are introduced at the outset, providing readers with a springboard to computations and subsequent abstract concepts. An ideal resource for scientists and engineers as well as students preparing for the algebra qualifying examinations, Introduction to Abstract Algebra, Second Edition presents an exciting array of features, including: Applications to cryptography, coding, geometrical constructions, and Polya counting techniques. Special topics such as symmetric polynomials, nilpotent groups, and finitedimensional algebras. Nearly 500 solved examples along with hundreds of exercises. Biographies of 13 mathematicians plus historical notes. Review of the necessary background material.
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- Q: What is the main focus of 'Introduction to Abstract Algebra'? A: 'Introduction to Abstract Algebra' focuses on the fundamental structures of abstract algebra, including groups, rings, and fields, making it accessible for self-study and applicable in various fields such as computer science and engineering.
- Q: Who is the author of this book? A: The author of 'Introduction to Abstract Algebra' is W. Keith Nicholson.
- Q: What is the page count of this book? A: 'Introduction to Abstract Algebra' contains 599 pages.
- Q: What edition is this book? A: This book is the second edition, published on July 15, 1999.
- Q: Is this book suitable for beginners? A: Yes, the book is designed to be accessible even for readers with only a basic understanding of college algebra.
- Q: What are some key features of this book? A: Key features include nearly 500 solved examples, hundreds of exercises, biographies of mathematicians, and applications to real-world problems such as cryptography and coding.
- Q: What type of binding does this book have? A: 'Introduction to Abstract Algebra' is available in hardcover binding.
- Q: Can this book help with algebra qualifying examinations? A: Yes, it serves as an ideal resource for students preparing for algebra qualifying examinations.
- Q: Does this book include historical notes? A: Yes, it includes historical notes along with biographies of mathematicians.
- Q: What topics are covered in this book? A: The book covers topics such as symmetric polynomials, nilpotent groups, finite-dimensional algebras, and foundational concepts in abstract algebra.