Introduction to quadratic forms/ (Record no. 179841)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 00341nam a2200133Ia 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 3540665641 |
| 040 ## - CATALOGING SOURCE | |
| Transcribing agency | CUS |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.74 |
| Item number | MEA/I |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | O'Meara,Timothy O. |
| 245 #0 - TITLE STATEMENT | |
| Title | Introduction to quadratic forms/ |
| Statement of responsibility, etc. | Timothy O.O'Meara |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc. | New York: |
| Name of publisher, distributor, etc. | Springer, |
| Date of publication, distribution, etc. | 1970. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 342p. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | <br/>Chapter I. Valuated Fields 1<br/>11. Valuations 1<br/>12. Archimedean valuations 14<br/>13. Non-archimedean valuations 20<br/>14. Prolongation of a complete valuation to a finite extension 28<br/>15.<br/>Prolongation of any valuation to a finite separable extension .... 30<br/>16. Discrete valuations 37<br/>Chapter II. Dedekind Theory of Ideals 41<br/>21. Dedekind axioms for S 42<br/>22. Ideal theory 44<br/>23. Extension fields 52<br/>Chapter III. Fields of Number Theory 54<br/>31. Rational global fields 54<br/>32. Local fields 59<br/>33. Global fields 65<br/>Part Two<br/>Abstract Theory of Quadratic Forms<br/>Chapter IV. Quadratic Forms and the Orthogonal Group 82<br/>41. Forms, matrices and spaces 82<br/>42. Quadratic spaces 88<br/>43. Special subgroups of 0„(F) 100<br/>Chapter V. The Algebras of Quadratic Forms 112<br/>51. Tensor products 113<br/>52. Wedderburn's theorem on central simple algebras 118<br/>53. Extending the field of scalars 129<br/>54. The Clifford algebra 131<br/>55. The spinor norm 137<br/>56. Special subgroups of 0„(F) 141<br/>57. Quaternion algebras 142<br/>58. The Hasse algebra 149<br/>XII Contents<br/>Part Three<br/>Arithmetic Theory of Quadratic Forms over Fields<br/>Chapter VI. The Equivalence of Quadratic Forms 154<br/>61. Complete archimedean fields 154<br/>62. Finite fields 157<br/>63. Local fields 158<br/>64. Global notation 172<br/>65. Squares and norms in global fields 173<br/>66. Quadratic forms over global fields 186<br/>Chapter VII. Hilbert's Reciprocity Law 190<br/>71. Proof of the reciprocity law 190<br/>72. Existence of forms with prescribed local behavior 203<br/>73. The quadratic reciprocity law 205<br/>Part Four<br/>Arithmetic Theory of Quadratic Forms over Rings<br/>Chapter VIII. Quadratic Forms over Dedekind Domains 208<br/>81. Abstract lattices 208<br/>82. Lattices in quadratic spaces 220<br/>Chapter IX. Integral Theory of Quadratic Forms over Local Fields 239<br/>91. Generalities 239<br/>92. Classification of lattices over non-dyadic fields 246<br/>93. Classification of lattices over dyadic fields 250<br/>94. Effective determination of the invariants 279<br/>95. Special subgroups of 280<br/>Chapter X. Integral Theory of Quadratic Forms over Global Fields 284<br/>101. Elementary properties of the orthogonal group over arithmetic fields 285<br/>102. The genus and the spinor genus 297<br/>103. Finiteness of class number 305<br/>104. The class and the spinor genus in the indefinite case 311<br/>105. The indecomposable splitting of a definite lattice 321<br/>106. Definite unimodular lattices over the rational integers 323<br/> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | General Books |
| Withdrawn status | Lost status | Damaged status | Not for loan | Home library | Current library | Shelving location | Date acquired | Full call number | Accession number | Date last seen | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Central Library, Sikkim University | Central Library, Sikkim University | General Book Section | 29/08/2016 | 512.74 MEA/I | P34852 | 29/08/2016 | General Books |