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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.
 About the authors

Biography of O. Timothy O'Meara
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.
 Reviews

"The exposition follows the tradition of the lectures of Emil Artin who enjoyed developing a subject from first principles and devoted much research to finding the simplest proofs at every stage."  American Mathematical Monthly
 Table of contents (10 chapters)


Valuated Fields
Pages 141

Dedekind Theory of Ideals
Pages 4154

Fields of Number Theory
Pages 5481

Quadratic Forms and the Orthogonal Group
Pages 82112

The Algebras of Quadratic Forms
Pages 112153

Table of contents (10 chapters)
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Bibliographic Information
 Bibliographic Information

 Book Title
 Introduction to Quadratic Forms
 Authors

 O. Timothy O'Meara
 Series Title
 Classics in Mathematics
 Copyright
 2000
 Publisher
 SpringerVerlag Berlin Heidelberg
 Copyright Holder
 SpringerVerlag Berlin Heidelberg
 eBook ISBN
 9783642620317
 DOI
 10.1007/9783642620317
 Softcover ISBN
 9783540665649
 Series ISSN
 14310821
 Edition Number
 1
 Number of Pages
 XIV, 344
 Number of Illustrations
 1 b/w illustrations
 Additional Information
 Originally published as Volume 117 in the series: Grundlehren der mathematischen Wissenschaften
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