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Bilinear Algebra - An Introduction to the Algebraic Theory of Quadratic Forms (Hardcover)
Loot Price: R5,587
Discovery Miles 55 870
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Bilinear Algebra - An Introduction to the Algebraic Theory of Quadratic Forms (Hardcover)
Series: Algebra, Logic and Applications
Expected to ship within 12 - 17 working days
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Giving an easily accessible elementary introduction to the
algebraic theory of quadratic forms, this book covers both Witt's
theory and Pfister's theory of quadratic forms.
Leading topics include the geometry of bilinear spaces,
classification of bilinear spaces up to isometry depending on the
ground field, formally real fields, Pfister forms, the Witt ring of
an arbitrary field (characteristic two included), prime ideals of
the Witt ring, Brauer group of a field, Hasse and Witt invariants
of quadratic forms, and equivalence of fields with respect to
quadratic forms. Problem sections are included at the end of each
chapter. There are two appendices: the first gives a treatment of
Hasse and Witt invariants in the language of Steinberg symbols, and
the second contains some more advanced problems in 10 groups,
including the u-invariant, reduced and stable Witt rings, and Witt
equivalence of fields.
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