Squares:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1993
|
| Schriftenreihe: | London Mathematical Society lecture note series
171 |
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references (p. 279-284) and index 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) |
| Beschreibung: | 1 Online-Ressource (xii, 286 p.) |
| ISBN: | 0521426685 1107361834 9780521426688 9781107361836 |
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Datensatz im Suchindex
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| author | Rajwade, A. R. |
| author_facet | Rajwade, A. R. |
| author_role | aut |
| author_sort | Rajwade, A. R. |
| author_variant | a r r ar arr |
| building | Verbundindex |
| bvnumber | BV043080044 |
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| ctrlnum | (OCoLC)836870434 (DE-599)BVBBV043080044 |
| dewey-full | 512/.74 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.74 |
| dewey-search | 512/.74 |
| dewey-sort | 3512 274 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043080044 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:16:49Z |
| institution | BVB |
| isbn | 0521426685 1107361834 9780521426688 9781107361836 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028504236 |
| oclc_num | 836870434 |
| open_access_boolean | |
| owner | DE-1046 DE-1047 |
| owner_facet | DE-1046 DE-1047 |
| physical | 1 Online-Ressource (xii, 286 p.) |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | London Mathematical Society lecture note series |
| spelling | Rajwade, A. R. Verfasser aut Squares A.R. Rajwade Cambridge Cambridge University Press 1993 1 Online-Ressource (xii, 286 p.) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 171 Includes bibliographical references (p. 279-284) and index 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) Formes quadratiques ram Kwadratische systemen gtt Quadratische Form swd MATHEMATICS / Number Theory bisacsh Forms, Quadratic fast Sequences (Mathematics) fast Forms, Quadratic Sequences (Mathematics) Quadratische Form (DE-588)4128297-8 gnd rswk-swf Quadratische Form (DE-588)4128297-8 s 1\p DE-604 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=552440 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Rajwade, A. R. Squares Formes quadratiques ram Kwadratische systemen gtt Quadratische Form swd MATHEMATICS / Number Theory bisacsh Forms, Quadratic fast Sequences (Mathematics) fast Forms, Quadratic Sequences (Mathematics) Quadratische Form (DE-588)4128297-8 gnd |
| subject_GND | (DE-588)4128297-8 |
| title | Squares |
| title_auth | Squares |
| title_exact_search | Squares |
| title_full | Squares A.R. Rajwade |
| title_fullStr | Squares A.R. Rajwade |
| title_full_unstemmed | Squares A.R. Rajwade |
| title_short | Squares |
| title_sort | squares |
| topic | Formes quadratiques ram Kwadratische systemen gtt Quadratische Form swd MATHEMATICS / Number Theory bisacsh Forms, Quadratic fast Sequences (Mathematics) fast Forms, Quadratic Sequences (Mathematics) Quadratische Form (DE-588)4128297-8 gnd |
| topic_facet | Formes quadratiques Kwadratische systemen Quadratische Form MATHEMATICS / Number Theory Forms, Quadratic Sequences (Mathematics) |
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