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O'Meara, O.T.

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ISBN 10: 0387029842 / ISBN 13: 9780387029849
Published by Springer-Verlag:, 1973
Condition: Fine Hardcover

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The third corrected printing, 342 pages. "The classification problem- namely, the search for invariants which will characterize when one form can be taken into another by a linear transformation over a given field or integral domain- forms a unified and elegant part of the theory of quadratic forms. This book is a monograph on that subject, including the most advanced results. The most important of these is the author's own complete solution of the classification problem over local integral domains; the next most important, the new relations betwen genus and spinor genus over global integral domains." FINE HARDCOVER, FINE- DUST JACKET. Size: 8vo - over 7¾" - 9¾" tall. Bookseller Inventory # 016274

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Bibliographic Details


Publisher: Springer-Verlag:

Publication Date: 1973

Binding: Hard Cover

Book Condition:Fine

Dust Jacket Condition: Fine-

About this title


From the reviews: "O'Meara treats his subject from this point of view (of the interaction with algebraic groups). He does not attempt an encyclopedic coverage ...nor does he strive to take the reader to the frontiers of knowledge... . Instead he has given a clear account from first principles and his book is a useful introduction to the modern viewpoint and literature. In fact it presupposes only undergraduate algebra (up to Galois theory inclusive)... The book is lucidly written and can be warmly recommended.
J.W.S. Cassels, The Mathematical Gazette, 1965
"Anyone who has heard O'Meara lecture will recognize in every page of this book the crispness and lucidity of the author's style;... The organization and selection of material is superb... deserves high praise as an excellent example of that too-rare type of mathematical exposition combining conciseness with clarity...
R. Jacobowitz, Bulletin of the AMS, 1965

From the Back Cover:

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.

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PASCALE'S BOOKS a mail order business specializing in scholarly non-fiction, in many subjects, such as legal history, sociology, technology, architecture, aviation, astronomy and natural sciences & more. Content and condition are both equally important to me as a bookseller. I have 30 years experience buying and selling books & ephemera. "Read an old book and learn something new."

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