Squares /

Bibliographic Details
Main Author: Rajwade, A. R.
Format: Book
Language:English
Published: Cambridge, UK : Cambridge University, 1995.
Series:London Mathematical Society lecture note series ; v. 171
Subjects:

MARC

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100 1 |9 13996  |a Rajwade, A. R. 
245 1 0 |a Squares /  |c A. R. Rajwade. 
260 |a Cambridge, UK :   |b Cambridge University,   |c 1995. 
300 |a xii, 284 p. ;  |c 23 cm. 
490 0 |a London Mathematical Society lecture note series ;   |v v. 171 
504 |a Includes bibliographical references (p. 279-284) and index. 
505 0 |a 1. The theorem of Hurwitz -- 2. The 2n theorems and the Stufe of fields -- 3. Examples of the Stufe of fields and related topics -- 4. Hilbert's 17th problem -- 5. Positive definite functions and sums of squares-- 6. An introduction to Hilbert's theorem -- 7. The two proofs of Hilbert's theorem -- 8. Theorems of Reznick and Choi, Lam and Reznick -- 9. Theorems of Choi, Calderon and Robinson -- 10. The theorem of Hurwitz-Radon -- 11. An introduction to quadratic form theory -- 12. The theory of multiplicative forms and Pfister forms -- 13. The Hopf condition -- 14. Examples of bilinear identities and a theorem of Gabel -- 15. Artin-Schreier theory of formally real fields -- 16. Squares and sums of squares in fields and their extension fields -- 17. Pourchet's theorem and related results -- 18. Examples of the Stufe and Pythagoras number of fields using the Hasse-Minkowski theorem -- Appendix: Reduction of matrices to canonical form. 
650 4 |a Sums. 
650 4 |a Formaly real field. 
650 4 |a Number theory. 
650 4 |a Field theory. 
650 4 |a Sequences. 
942 |c LIBRO 
945 |a EG 
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