An Algebraic Introduction to K-Theory
Language: English
Published by Cambridge University Press, GB, 2002
Series: Book 79 of 188 - Encyclopedia of Mathematics and its Applications
- Hardcover
- New
Seller: Rarewaves.com UK, London, United KingdomRarewaves.com UK
AbeBooks seller since June 11, 2025
Condition: New
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This is an introduction to algebraic K-theory with no prerequisite beyond a first semester of algebra (including Galois theory and modules over a principal ideal domain). The presentation is almost entirely self-contained, and is divided into short sections with exercises to reinforce the ideas and suggest further lines of inquiry. No experience with analysis, geometry, number theory or topology is assumed. Within the context of linear algebra, K-theory organises and clarifies the relations among ideal class groups, group representations, quadratic forms, dimensions of a ring, determinants, quadratic reciprocity and Brauer groups of fields. By including introductions to standard algebra topics (tensor products, localisation, Jacobson radical, chain conditions, Dedekind domains, semi-simple rings, exterior algebras), the author makes algebraic K-theory accessible to first-year graduate students and other mathematically sophisticated readers. Even if your algebra is rusty, you can read this book; the necessary background is here, with proofs.…
Seller Inventory # LU-9780521800785
- Title
- An Algebraic Introduction to K-Theory
- Author
- Bruce A. Magurn
- Publisher
- Cambridge University Press, GB
- Publication year
- 2002
- Condition
- New
- Binding
- Hardback
- Language
- English
- ISBN 10
- 0521800781
- ISBN 13
- 9780521800785
- Item weight
- 1,106 grams
- Series
- Book 79 of 188: Encyclopedia of Mathematics and its Applications
"Synopsis" may belong to another edition of this title.
Review
Review of the hardback: 'This is a fine introduction to algebraic K-theory, requiring only a basic preliminary knowledge of groups, rings and modules.' European Mathematical Society
Review of the hardback: '... a fine introduction to algebraic K-theory ...' EMS Newsletter
Review of the hardback: '... an excellent introduction to the algebraic K-theory.' Proceedings of the Edinburgh Mathematical Society
"About the title" may belong to another edition of this title.
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