A First Course in Abstract Algebra
Rings, Groups, and Fields, Third Edition
Seiten
2014
|
3rd edition
Chapman & Hall/CRC (Verlag)
978-1-4822-4552-3 (ISBN)
Chapman & Hall/CRC (Verlag)
978-1-4822-4552-3 (ISBN)
Like its popular predecessors, A First Course in Abstract Algebra: Rings, Groups, and Fields, Third Edition develops ring theory first by drawing on students’ familiarity with integers and polynomials. This unique approach motivates students in the study of abstract algebra and helps them understand the power of abstraction. The authors introduce groups later on using examples of symmetries of figures in the plane and space as well as permutations.
New to the Third Edition
Makes it easier to teach unique factorization as an optional topic
Reorganizes the core material on rings, integral domains, and fields
Includes a more detailed treatment of permutations
Introduces more topics in group theory, including new chapters on Sylow theorems
Provides many new exercises on Galois theory
The text includes straightforward exercises within each chapter for students to quickly verify facts, warm-up exercises following the chapter that test fundamental comprehension, and regular exercises concluding the chapter that consist of computational and supply-the-proof problems. Historical remarks discuss the history of algebra to underscore certain pedagogical points. Each section also provides a synopsis that presents important definitions and theorems, allowing students to verify the major topics from the section.
New to the Third Edition
Makes it easier to teach unique factorization as an optional topic
Reorganizes the core material on rings, integral domains, and fields
Includes a more detailed treatment of permutations
Introduces more topics in group theory, including new chapters on Sylow theorems
Provides many new exercises on Galois theory
The text includes straightforward exercises within each chapter for students to quickly verify facts, warm-up exercises following the chapter that test fundamental comprehension, and regular exercises concluding the chapter that consist of computational and supply-the-proof problems. Historical remarks discuss the history of algebra to underscore certain pedagogical points. Each section also provides a synopsis that presents important definitions and theorems, allowing students to verify the major topics from the section.
Marlow Anderson, Todd Feil
Numbers, Polynomials, and Factoring. Rings, Domains, and Fields. Ring Homomorphisms and Ideals. Groups. Group Homomorphisms. Topics from Group Theory. Unique Factorization. Constructibility Problems. Vector Spaces and Field Extensions. Galois Theory. Hints and Solutions. Guide to Notation. Index.
| Zusatzinfo | 40 Illustrations, black and white |
|---|---|
| Sprache | englisch |
| Maße | 178 x 254 mm |
| Gewicht | 1300 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| ISBN-10 | 1-4822-4552-3 / 1482245523 |
| ISBN-13 | 978-1-4822-4552-3 / 9781482245523 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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