| Description |
1 online resource (xii, 286 pages). |
| Physical Medium |
polychrome |
| Description |
text file |
| Series |
London Mathematical Society lecture note series ; 171
|
|
London Mathematical Society lecture note series ; 171.
|
| Bibliography |
Includes bibliographical references (pages 279-284) and index. |
| Contents |
The theorem of Hurwitz (1898) on the 2, 4, 8-identities -- The 2n-identities and the Stufe of fields : theorems of Pfister and Cassels -- Examples of the Stufe of fields and related topics -- Hilbert's 17th problem and the function fields R(X), Q(X), and R(X, Y) -- Positive semi-definite functions and sums of squares in R(X1,X2 ..., Xn) -- Introduction to Hilbert's theorem (1888) in the ring R[X1,X2 ..., Xn] -- The two proofs of Hilbert's main theorem; Hilbert's own and the other of Choi and Lam -- Theorems of Reznick and of Choi, Lam and Reznick -- Theorems of Choi, Calderon and of Robinson -- The Radon function and the theorem of Hurwitz-Radon (1922-23) -- Introduction to the teory of quadratic forms -- Theory of multiplicative forms and of Pfister forms -- The rational admissibility of the triple (r, s, n) and the Hopf condition -- Some interesting examples of bilinear identities and a theorem of Gabel -- Artin-Schreier theory of formally real fields -- Squares and sums of squares in fields and their extension fields -- Pourchet's theorem that P(Q(X)) = 5 and related results -- Examples of the Stufe and pythagroas number of fields using the Hasse-Minkowski theorem -- Reduction of matrices to canonical forms (for Chapter 10) -- Convex sets (for chaptes 6,7,8,9). |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Forms, Quadratic.
|
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Forms, Quadratic. |
|
Sequences (Mathematics)
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Sequences (Mathematics) |
| Genre/Form |
Electronic books.
|
| Other Form: |
Print version: Rajwade, A.R. Squares. Cambridge ; New York, NY, USA : Cambridge University Press, 1993 0521426685 (DLC) 93167566 (OCoLC)29847819 |
| ISBN |
9781107361836 (electronic book) |
|
1107361834 (electronic book) |
|
0521426685 |
|
9780521426688 |
|
9783038215233 |
|
3038215236 |
|
