Introduction to quadratic forms /
O. Timothy O'Meara.
- Berlin ; New York : Springer, c2000.
- xii, 342 p. : ill. ; 24 cm.
- Classics in mathematics, .
Originally published: 3rd corr. print. Berlin ; New York : Springer-Verlag, 1973, in series: Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete ; Bd. 117.
Includes bibliographical references (p. [336]) and index.
One Arithmetic Theory of Fields -- I. Valuated Fields -- II. Dedekind Theory of Ideals -- III. Fields of Number Theory -- Two Abstract Theory of Quadratic Forms -- IV. Quadratic Forms and the Orthogonal Group -- V. The Algebras of Quadratic Forms -- Three Arithmetic Theory of Quadratic Forms over Fields -- VI. The Equivalence of Quadratic Forms -- VII. Hilbert's Reciprocity Law -- Four Arithmetic Theory of Quadratic Forms over Rings -- VIII. Quadratic Forms over Dedekind Domains -- IX. Integral Theory of Quadratic Forms over Local Fields -- X. Integral Theory of Quadratic Forms over Global Fields.