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A First Graduate Course in Abstract Algebra: 266 (Chapman & Hall/CRC Pure and Applied Mathematics) - Hardcover
Synopsis
Since abstract algebra is so important to the study of advanced mathematics, it is critical that students have a firm grasp of its principles and underlying theories before moving on to further study. To accomplish this, they require a concise, accessible, user-friendly textbook that is both challenging and stimulating. A First Graduate Course in Abstract Algebra is just such a textbook.
Divided into two sections, this book covers both the standard topics (groups, modules, rings, and vector spaces) associated with abstract algebra and more advanced topics such as Galois fields, noncommutative rings, group extensions, and Abelian groups. The author includes review material where needed instead of in a single chapter, giving convenient access with minimal page turning. He also provides ample examples, exercises, and problem sets to reinforce the material. This book illustrates the theory of finitely generated modules over principal ideal domains, discusses tensor products, and demonstrates the development of determinants. It also covers Sylow theory and Jordan canonical form.
A First Graduate Course in Abstract Algebra is ideal for a two-semester course, providing enough examples, problems, and exercises for a deep understanding. Each of the final three chapters is logically independent and can be covered in any order, perfect for a customized syllabus.
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Review
"This is a very useful text on abstract algebra at the beginning graduate levelthe notions of tensor product and projectivity of modules is introduced early and serve in several places to simplify proofsnumerous worked out examples shed light on the abstract theory and help to understand what is going on." - Monatshefte f]r Mathematik
About the Author
Wickless, W.J.
"About this title" may belong to another edition of this title.
- PublisherCRC Press
- Publication date2019
- ISBN 10 0824756274
- ISBN 13 9780824756277
- BindingHardcover
- LanguageEnglish
- Edition number1
- Number of pages250
- EditorTaft Earl, Nashed Zuhair
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