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Algebra: A Graduate Course (Graduate Studies in Mathematics, 100) - Hardcover

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9780821847992: Algebra: A Graduate Course (Graduate Studies in Mathematics, 100)

Synopsis

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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About the Author

Ph.D. Harvard

Review

"Unlike similar textbooks, this volume steers away from chapter-end problems by including full details of all proofs as problems are presented." ---- SciTech Book News

"This is a book to be warmly welcomed. The presentation throughout is a model of clarity, and the proofs are precise and complete. The careful reader will learn (much) from it, not only mathematics, but also (and more importantly) how to think mathematically." ---- Mathematical Reviews

"Isaacs' Algebra, A Graduate Course is a pedagogically important book, to be highly recommended to fledgling algebraists--and every one else, for that matter." ---- MAA Reviews

"About this title" may belong to another edition of this title.

  • PublisherAmer Mathematical Society
  • Publication date2009
  • ISBN 10 0821847996
  • ISBN 13 9780821847992
  • BindingHardcover
  • LanguageEnglish
  • Number of pages516
  • Rating
    • 3.75 out of 5 stars
      12 ratings by Goodreads

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Condition: New. 2009. Hardcover. Presents an introduction to algebraic number theory, and the rudiments of algebraic geometry. This book includes such topics as transfer and character theory of finite groups, modules over artinian rings, modules over Dedekind domains, and transcendental field extensions. Series: Graduate Studies in Mathematics. Num Pages: 516 pages, Illustrations. BIC Classification: PBF. Category: (UP) Postgraduate, Research & Scholarly. Dimension: 183 x 258 x 32. Weight in Grams: 1070. . . . . . Seller Inventory # V9780821847992

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Condition: New. 2009. Hardcover. Presents an introduction to algebraic number theory, and the rudiments of algebraic geometry. This book includes such topics as transfer and character theory of finite groups, modules over artinian rings, modules over Dedekind domains, and transcendental field extensions. Series: Graduate Studies in Mathematics. Num Pages: 516 pages, Illustrations. BIC Classification: PBF. Category: (UP) Postgraduate, Research & Scholarly. Dimension: 183 x 258 x 32. Weight in Grams: 1070. . . . . . Books ship from the US and Ireland. Seller Inventory # V9780821847992

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