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Book Review

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Book Information

Author(s): T. Y. Lam
Title: Introduction to quadratic forms over fields
Additional book information: Graduate Studies in Mathematics, vol. 67, American Mathematical Society, Providence, RI, 2005, xxi+550 pp., ISBN 978-0-8218-1095-8

References:

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8.: M. Knus, Quadratic and hermitian forms over rings, Grundlehren der Math. Wiss. 294 Springer-Verlag (1991). MR 1096299 (92i:11039)
9.: M. Knus, A. Merkurjev, M. Rost, J-P. Tignol, The Book of Involutions, AMS Colloquium Publications, Vol 44 (1998).
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11.: A.S. Merkurjev, Kaplansky's conjecture in the theory of quadratic forms (in Russian), Zap. Nauchn. Sem. Leningrad Otdel. Mat. Inst. Steklov (LOMI) 175 (1989), Kolsta i Moduli 3, 75-89, 163-164 (English translation : J. Soviet Math. 57 (1991), 3489-3497). MR 1047239 (90m:11058)
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15.: A. Pfister, Quadratic forms with applications to algebraic geometry and topology, LMS Lecture Note Series 217, Cambridge University Press (1995). MR 1366652 (97c:11046)
16.: A. Pfister, On the Milnor Conjectures, History, Influence, Applications, Jahresbericht DMV 102 (2000), 15-41. MR 1769021
17.: W. Scharlau, Quadratic and Hermitian Forms, Grundlehren der Math. Wiss. 270 Springer-Verlag (1985). MR 770063 (86k:11022)
18.: J-P. Serre, Cohomologie galoisienne des groupes algébriques linéaires, Colloque de Bruxelles, 1962, 53-67 (=Collected Papers, 53). MR 0186719 (32:4177)
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Additional Information:

Reviewer(s):
Eva Bayer-Fluckiger
Affiliation: Ecole Polytechnique Fédérale, Lausanne
Email: eva.baver@epfl.ch

Review Information:
Journal: Bull. Amer. Math. Soc. 45 (2008), 479-484.

MSC (2000): Primary 11E04, 11E08; Secondary 11E10, 11E12, 11E25, 11E81, 11E88, 11E95, 15A63
DOI: 10.1090/S0273-0979-08-01200-7
PII: S 0273-0979(08)01200-7
Posted: April 21, 2008
Copyright of article: Copyright 2008, American Mathematical Society

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