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O'Meara, O. T.

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.

ISBN: 97803540665649

Subjects--Topical Terms:
Forms, Quadratic.

Dewey Class. No.: 512.74 / MEA/I