Introduction to Quadratic Forms

✍ Scribed by O. T. O’Meara (auth.)

Publisher: Springer Berlin Heidelberg
Year: 1973
Tongue: English
Leaves: 354
Series: Die Grundlehren der mathematischen Wissenschaften 117
Category: Library

No coin nor oath required. For personal study only.

✦ Table of Contents

Front Matter....Pages I-XI
Valuated Fields....Pages 1-41
Dedekind Theory of Ideals....Pages 41-54
Fields of Number Theory....Pages 54-81
Quadratic Forms and the Orthogonal Group....Pages 82-112
The Algebras of Quadratic Forms....Pages 112-153
The Equivalence of Quadratic Forms....Pages 154-189
Hilbert’s Reciprocity Law....Pages 190-207
Quadratic Forms over Dedekind Domains....Pages 208-239
Integral Theory of Quadratic Forms over Local Fields....Pages 239-284
Integral Theory of Quadratic Forms over Global Fields....Pages 284-335
Back Matter....Pages 336-344

✦ Subjects

Algebra; Group Theory and Generalizations

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