Real Algebra, 1st Edition
A First Course
$152.10
- Paperback
206 pages
- Release Date
23 October 2022
Summary
This book provides an introduction to fundamental methods and techniques of algebra over ordered fields. It is a revised and updated translation of the classic textbook Einführung in die reelle Algebra.
Beginning with the basics of ordered fields and their real closures, the book proceeds to discuss methods for counting the number of real roots of polynomials. Followed by a thorough introduction to Krull valuations, this culminates in Artin’s solution of Hilbert’s 17th Problem. Next, …
Book Details
| ISBN-13: | 9783031097997 |
|---|---|
| ISBN-10: | 3031097998 |
| Author: | Manfred Knebusch, Claus Scheiderer, Thomas Unger |
| Publisher: | Springer International Publishing AG |
| Imprint: | Springer International Publishing AG |
| Format: | Paperback |
| Number of Pages: | 206 |
| Edition: | 1st |
| Release Date: | 23 October 2022 |
| Weight: | 343g |
| Dimensions: | 235mm x 155mm |
| Series: | Universitext |
What They're Saying
Critics Review
“More than 30 years after its initial publication, the present textbook is still a very valuable source for results in real algebra. It can serve as a textbook for a university course, but also experts will benefit from the nice account of concepts and results. It’s great that the book is available again, in particular in an English translation for an international audience.” (Tim Netzer, zbMATH 1505.13001, 2023)
About The Author
Manfred Knebusch
Manfred Knebusch is Professor Emeritus at the University of Regensburg. He has written nine books and more than 80 papers on the algebraic theory of quadratic forms over rings and fields, valuation theory, real algebra and real algebraic geometry. His current research focusses on tropical geometry.
Claus Scheiderer is Professor at Konstanz University. His primary research interests are real algebraic geometry and convex algebraic geometry.
Thomas Unger is Associate Professor at University College Dublin. His research interests include quadratic and hermitian forms, algebras with involution, and noncommutative real algebra and geometry.
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