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GROUPS, RINGS AND GALOIS THEORY
Second Edition
by Victor P Snaith (University of Southampton, UK)
This book is ideally suited for a two-term undergraduate algebra course culminating in a discussion on Galois theory. It provides an introduction to group theory and ring theory en route. In addition, there is a chapter on groups — including applications to error-correcting codes and to solving Rubik's cube. The concise style of the book will facilitate student–instructor discussion, as will the selection of exercises with various levels of difficulty. For the second edition, two chapters on modules over principal ideal domains and Dedekind domains have been added, which are suitable for an advanced undergraduate reading course or a first-year graduate course.
Contents:
- Group Theory
- Ring Theory
- Galois Theory
- Rings and Modules
-
Dedekind Domains
Readership: Upper level undergraduates and graduate students in
mathematics.
“Certainly, this enlarged second edition of a great primer of abstract algebra has increased its degree of efficiency, in particular in its capacity as an algebraic source for both studying and teaching elementary algebraic number theory. Moreover, this text is and remains a perfect background for the further study of algebra at its more advanced level, and in all its different directions, perhaps so by means of one of the many comprehensive standard books in the field.”
| 228pp |
Pub. date: Oct 2003 |
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