Introduction to Quadratic Forms
Springer Berlin (Verlag)
978-3-540-66564-9 (ISBN)
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
Timothy O'Meara was born on January 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.
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.
"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
"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
| Erscheint lt. Verlag | 14.12.1999 |
|---|---|
| Reihe/Serie | Classics in Mathematics |
| Zusatzinfo | XIV, 344 p. 1 illus. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 480 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie | |
| Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik | |
| Schlagworte | Algebra • Arithmetic Theory of Fields • Arithmetic Theory of Rings • finite field • lattice • matrix theory • Number Theory • quadratic forms • Quadratische Formen |
| ISBN-10 | 3-540-66564-1 / 3540665641 |
| ISBN-13 | 978-3-540-66564-9 / 9783540665649 |
| Zustand | Neuware |
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