ENGLISH

Algebra: A Graduate Course

By I. Martin Isaacs

Book information

Publisher
American Mathematical Society
Year
1994
ISBN
0821847996, 9780821847992
LCC
QA154.2 .I83 2009
Language
english
Format
DJVU
Filesize
8 MB (8679679 bytes)
Series
Graduate Studies in Mathematics 100
Pages
530\530
Topic
Mathematics Algebra
Orientation
no
Scanned
yes
Time added
2012-02-04 16:00:00
Математика;Общая алгебра

Description

This book, based on a first-year graduate course the author taught at the University of Wisconsin, contains more than enough material for a two-semester graduate-level abstract algebra course, including groups, rings and modules, fields and Galois theory, an introduction to algebraic number theory, and the rudiments of algebraic geometry. In addition, there are some more specialized topics not usually covered in such a course. These include transfer and character theory of finite groups, modules over artinian rings, modules over Dedekind domains, and transcendental field extensions. This book could be used for self study as well as for a course text, and so full details of almost all proofs are included, with nothing being relegated to the chapter-end problems. There are, however, hundreds of problems, many being far from trivial. The book attempts to capture some of the informality of the classroom, as well as the excitement the author felt when taking the corresponding course as a student.

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