By T. Y. Lam
This new edition of the author's prizewinning publication, Algebraic thought of Quadratic varieties (W. A. Benjamin, Inc., 1973), offers a glossy and self-contained advent to the idea of quadratic kinds over fields of attribute diversified from . beginning with few must haves past linear algebra, the writer charts knowledgeable direction from Witt's classical concept of quadratic kinds, quaternion and Clifford algebras, Artin-Schreier thought of officially actual fields, and structural theorems on Witt earrings, to the idea of Pfister varieties, functionality fields, and box invariants. those major advancements are seamlessly interwoven with tours into Brauer-Wall teams, neighborhood and international fields, hint varieties, Galois idea, and hassle-free algebraic K-theory, to create a uniquely unique remedy of quadratic shape thought over fields. new chapters totaling greater than a hundred pages were extra to the sooner incarnation of this e-book take into consideration a number of the more moderen effects and more moderen viewpoints within the zone.
As is attribute of this author's expository type, the presentation of the most fabric during this ebook is interspersed with a copious variety of conscientiously selected examples to demonstrate the overall idea. this option, including a wealthy inventory of a few 280 workouts for the 13 chapters, significantly complements the pedagogical worth of this booklet, either as a graduate textual content and as a reference paintings for researchers in algebra, quantity concept, algebraic geometry, algebraic topology, and geometric topology.
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