By T. Y. Lam

ISBN-10: 0821810952

ISBN-13: 9780821810958

ISBN-10: 0821836463

ISBN-13: 9780821836460

ISBN-10: 2720014494

ISBN-13: 9782720014499

ISBN-10: 3719814114

ISBN-13: 9783719814113

ISBN-10: 5919843764

ISBN-13: 9785919843764

ISBN-10: 9419721191

ISBN-13: 9789419721195

This new edition of the author's prizewinning booklet, ""Algebraic idea of Quadratic Forms"" (W. A. Benjamin, Inc., 1973), offers a contemporary and self-contained advent to the speculation of quadratic varieties over fields of attribute various from . beginning with few must haves past linear algebra, the writer charts knowledgeable path from Witt's classical thought of quadratic types, quaternion and Clifford algebras, Artin-Schreier concept of officially actual fields, and structural theorems on Witt jewelry, to the speculation 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 types, Galois conception, and straightforward algebraic K-theory, to create a uniquely unique therapy of quadratic shape idea over fields.Two new chapters totaling greater than a hundred pages were further to the sooner incarnation of this booklet take into consideration the various more moderen effects and newer viewpoints within the zone. As is attribute of this author's expository type, the presentation of the most fabric during this e-book is interspersed with a copious variety of rigorously selected examples to demonstrate the overall conception. this option, including a wealthy inventory of a few 280 workouts for the 13 chapters, significantly complements the pedagogical price of this ebook, either as a graduate textual content and as a reference paintings for researchers in algebra, quantity thought, algebraic geometry, algebraic topology, and geometric topology.