Rational Quadratic Forms

E654583

Rational Quadratic Forms is a classic monograph in number theory that systematically develops the arithmetic theory of quadratic forms over the rational numbers.

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Predicate Object
instanceOf mathematics book
monograph
nonfiction book
belongsToGenre mathematics monograph
fieldOfStudy mathematics
focusesOn arithmetic theory of quadratic forms
quadratic forms over the rational numbers
hasAudience algebraists interested in quadratic forms
graduate students in mathematics
researchers in number theory
hasAuthor J. W. S. Cassels NERFINISHED
John William Scott Cassels NERFINISHED
hasLanguage English
hasMainTopic Hasse invariants
Hasse–Minkowski theorem NERFINISHED
Hilbert symbols NERFINISHED
Witt decomposition NERFINISHED
Witt ring of Q NERFINISHED
classification of quadratic spaces by dimension and invariants
classification of rational quadratic forms
diagonalization of quadratic forms over Q
equivalence of quadratic forms over Q
genus and spinor genus of quadratic forms
integral versus rational quadratic forms
invariants of quadratic forms
isotropy of quadratic forms
lattices associated to quadratic forms
local fields and quadratic forms
local-global principles for quadratic forms
norm forms and trace forms
orthogonal groups of quadratic forms
p-adic methods in quadratic forms
quadratic spaces over Q
rational equivalence of quadratic forms
representation of numbers by quadratic forms
hasMathematicalArea algebra
algebraic number theory
arithmetic geometry
hasSubject arithmetic of quadratic forms
number theory
quadratic forms
rational quadratic forms
isClassicIn number theory literature
theory of quadratic forms
isKnownFor comprehensive treatment of quadratic forms over Q
systematic development of the arithmetic theory of rational quadratic forms
isUsedAs advanced textbook in number theory
reference work on rational quadratic forms

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J. W. S. Cassels notableWork Rational Quadratic Forms