Synopses & Reviews
This volume discusses results about quadratic forms that give rise to interconnections among number theory, algebra, algebraic geometry, and topology. The author deals with various topics including Hilbert's 17th problem, the Tsen-Lang theory of quasi-algebraically closed fields, the level of topological spaces, and systems of quadratic forms over arbitrary fields. Whenever possible, proofs are short and elegant, and the author has made this book as self-contained as possible. This book brings together thirty years' worth of results certain to interest anyone whose research touches on quadratic forms.
Review
'A very readable complement to the standard treatments.' Mathematica
Synopsis
A gem of a book bringing together 30 years worth of results that are certain to interest anyone whose research touches on quadratic forms.
Synopsis
Brings together 30 years' worth of results on quadratic forms.
Synopsis
This volume has grown out of lectures given by Professor Pfister over many years. The emphasis here is placed on results about quadratic forms that give rise to interconnections between number theory, algebra, algebraic geometry, and topology. This is a gem of a book bringing together 30 years' worth of results that are certain to interest anyone whose research touches on quadratic forms.
Synopsis
Bringing together thirty years' worth of results about quadratic forms, the topics in this collection include Hilbert's 17th problem, the Tsen-Lang theory of quasi-algebraically closed fields, the level of topological spaces, and systems of quadratic forms over arbitrary fields.
Description
Includes bibliographical references (p. [166]-175) and index.
Table of Contents
1. The representation theory of Cassels; 2. Multiplicative quadratic forms; 3. The level of fields, rings and topological spaces; 4. Hilbert's homogeneous nullstellensatz; 5. Tsen-Lang theory; 6. Hilbert's 17th problem; 7. The Pythagoras number; 8. The u-invariant; 9. Systems of quadratic forms; 10. The level of projective spaces.