Positivity is one of the most basic mathematical concepts, involved in many areas of mathematics (analysis, real algebraic geometry, functional analysis, etc.). The main objective of the book is to give useful characterizations of polynomials. Beyond basic knowledge in algebra, only valuation theory as explained in the appendix is needed.The determination of the reduced Witt ring Wred(K) (or, equivalently, the image of the total signature map) started with Knebusch, Rosenberg, Ware , who also introduced SAP fields (cf. Exercises 3.6.5 and 3.6.6). A valuation theoreticanbsp;...
|Author||:||Alexander Prestel, Charles Delzell|
|Publisher||:||Springer Science & Business Media - 2013-04-17|