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Field name	Details
Dewey Class	512.7
Title	Introduction to Quadratic Forms ([EBook]) / by O. Timothy O’Meara.
Author	O'Meara, Onorato Timothy , 1928-
Other name(s)	SpringerLink (Online service)
Edition statement	Reprint of the 1973 edition
Publication	Berlin, Heidelberg : Springer , 2000.
Physical Details	XIV, 344 pages, 1 illus. : online resource.
Series	Classics in mathematics 0072-7830 ; ; 117
ISBN	9783642620317
Summary Note	Timothy O'Meara was born on January 29, 1928. He was educated at the University of Cape Town and completed his doctoral work under Emil Artin at Princeton University in 1953. He has served on the faculties of the University of Otago, Princeton University and the University of Notre Dame. From 1978 to 1996 he was provost of the University of Notre Dame. In 1991 he was elected Fellow of the American Academy of Arts and Sciences. O'Mearas first research interests concerned the arithmetic theory of quadratic forms. Some of his earlier work - on the integral classification of quadratic forms over local fields - was incorporated into a chapter of this, his first book. Later research focused on the general problem of determining the isomorphisms between classical groups. In 1968 he developed a new foundation for the isomorphism theory which in the course of the next decade was used by him and others to capture all the isomorphisms among large new families of classical groups. In particular, this program advanced the isomorphism question from the classical groups over fields to the classical groups and their congruence subgroups over integral domains. In 1975 and 1980 O'Meara returned to the arithmetic theory of quadratic forms, specifically to questions on the existence of decomposable and indecomposable quadratic forms over arithmetic domains.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-642-62031-7
Links to Related Works	Subject References: Algebra . Group theory . Group Theory and Generalizations . Linear and Multilinear Algebras, Matrix Theory . Mathematics . Matrix theory . Number Theory . Authors: O'Meara, Onorato Timothy 1928- . Corporate Authors: SpringerLink (Online service) . Series: Classics in mathematics . Classification: 512.7 .

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Introduction to Quadratic Forms

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