Algebraic and Arithmetic Theory of Quadratic Forms. (Record no. 68793)
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| fixed length control field | 04468nam a22004933i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC3113259 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729124538.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu|||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240724s2004 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780821879344 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780821834411 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC3113259 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL3113259 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr10878714 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)922980877 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | MiAaPQ |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | MiAaPQ |
| Modifying agency | MiAaPQ |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA243 -- .I57 2002eb |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.7/4 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Baeza, Ricardo. |
| 245 10 - TITLE STATEMENT | |
| Title | Algebraic and Arithmetic Theory of Quadratic Forms. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Providence : |
| Name of producer, publisher, distributor, manufacturer | American Mathematical Society, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2004. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2004. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (364 pages) |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | Contemporary Mathematics ; |
| Volume/sequential designation | v.344 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Intro -- Contents -- Preface -- Conference participants -- The Milnor sequence for WqF(x) in characteristic 2 when F is perfect -- Spinor norm for local skew-Hermitian forms -- An introduction to triangular Witt groups and a survey of applications -- Regularity properties of positive definite integral quadratic forms -- Effective results on representations of quadratic forms -- Quaternary quadratic forms and Hilbert modular surfaces -- Real semigroups and abstract real spectra. I -- The role of characteristic vectors in the neighbour lattice process -- On representation by quadratic Fq[x]-lattices -- Diagonal forms of degree p in characteristic p -- 1. Introduction -- 2. Basic results -- 3. A representation theorem à la Cassels-Pfister -- 4. The norm field, the norm degree, and quasi-Pfister forms -- 5. Behaviour of p-forms under algebraic field extensions -- 6. Similarity factors of p-forms and a "norm theorem" à la Knebusch -- 7. The behaviour of p-forms under function field extensions of p-forms -- 7.1 The definition of the function field of a p-form -- 7.2 The algebraic closure of the base field inside the function field of a p-form -- 7.3 p-splitting of a p-form over the function field of a p-form -- 7.4 Isotropy of p-forms over function fields of p-forms -- 7.5 Some remarks on height and splitting patterns of p-forms -- 7.6 Some applications to quasi-Pfister neighbors -- 8. The behaviour of differential forms under function field extensions of p-forms -- Local densities and the representations of an integer by a definite quadratic form -- Periodicity of Hermitian K-theory and Milnors K-groups -- Third proof of second gap in dimensions of quadratic forms from In -- Recent developments on universal forms -- Special Siegel modular forms and singular series polynomials of quadratic forms. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Quasi-hyperbolicity of totally singular quadratic forms -- Witt kernels of triquadratic extensions -- Anti-automorphisms of the second kind -- Reduction modulo 2 and 3 of Euclidean lattices, II -- The elementary type conjecture in quadratic form theory -- 1. Quadratic form schemes -- 2. Quaternionic mappings and Witt rings -- 3. Elementary constructions -- 4. Uniqueness results and counting -- 5. The reduced case -- 6. The case of small value sets -- 7. The case of few quaternion algebras -- 8. Quotients -- 9. Morphisms and field extensions -- 10. Connections to Galois theory -- On Hilbert's theorem about ternary quartics -- Representation by integral quadratic forms-a survey -- Representations by spinor genera of ternary quadratic forms -- A survey and a complement of fundamental Hermite constants. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on publisher supplied metadata and other sources. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Forms, Quadratic -- Congresses. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Hsia, John S. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Jacob, Bill. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Prestel, Alexander. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Baeza, Ricardo |
| Title | Algebraic and Arithmetic Theory of Quadratic Forms |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c2004 |
| International Standard Book Number | 9780821834411 |
| 797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
| Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Contemporary Mathematics |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113259">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113259</a> |
| Public note | Click to View |
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