Table of contents for Quadratic forms with applications to algebraic geometry and topology / Albrecht Pfister.

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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.

Library of Congress subject headings for this publication: Forms, Quadratic, Geometry, Algebraic, Topology