Abstract Algebra A Comprehensive Introduction
- Textbook
Description
Through this book, upper undergraduate mathematics majors will master a challenging yet rewarding subject, and approach advanced studies in algebra, number theory and geometry with confidence. Groups, rings and fields are covered in depth with a strong emphasis on irreducible polynomials, a fresh approach to modules and linear algebra, a fresh take on Gröbner theory, and a group theoretic treatment of Rejewski's deciphering of the Enigma machine. It includes a detailed treatment of the basics on finite groups, including Sylow…
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Key features
- Balances accessibility with rigor, allowing motivated students to gain mastery of advanced topics
- Takes a 'definitions first, examples next' approach, striking the right balance between abstract material and its motivation
- Prepares students for advanced studies in mathematics by offering a uniquely wide base of knowledge in key topics
- Coverage includes: finite abelian groups, Sylow theory, semi-direct products, solvable groups, unique factorization, irreducibility of polynomials, Galois theory and solvability by radicals, ruler and compass constructions, module theory over principal ideal domains, and a novel approach to Gröbner bases
About the book
- DOI https://doi.org/10.1017/9781108874328
- Series Cambridge Mathematical Textbooks
- Subjects Algebra,Mathematics,Mathematics (general)
- Format: Hardback
- Publication date: 01 July 2021
- ISBN: 9781108836654
- Dimensions (mm): 246 x 189 mm
- Weight: 1.52kg
- Page extent: 638 pages
- Availability: Available
- Format: Digital
- Publication date: 15 March 2022
- ISBN: 9781108874328
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