
Preface  Introduction  Table of Contents 
Collected Works 2010; 425 pp; hardcover Volume: 19 ISBN10: 0821848763 ISBN13: 9780821848760 List Price: US$94 Member Price: US$75.20 Order Code: CWORKS/19.5 See also: Collected Papers of John Milnor: IV. Homotopy, Homology and Manifolds  John W Milnor and John McCleary Collected Papers of John Milnor: III. Differential Topology  John Milnor Collected Papers of John Milnor: II. The Fundamental Group  John Milnor John Milnor Collected Papers: Volume I: Geometry  John Milnor  In addition to his seminal work in topology, John Milnor is also an accomplished algebraist, producing a spectacular agendasetting body of work related to algebraic \(K\)theory and quadratic forms during the five year period 19651970. These papers, together with other (some of them previously unpublished) works in algebra are assembled here in this fifth volume of Milnor's Collected Papers. They constitute not only an important historical archive, but also, thanks to the clarity and elegance of Milnor's mathematical exposition, a valuable resource for work in the fields treated. In addition, Milnor's papers are complemented by detailed surveys on the current state of the field in two areas. One is on the congruence subgroup problem, by Gopal Prasad and Andrei Rapinchuk. The other is on algebraic \(K\)theory and quadratic forms, by Alexander Merkurjev. Readership Graduate students and research mathematicians interested in algebra and group theory. Reviews "It is wonderful to see these papers which appear as part of volume 5 of the collected works of John Milnor. Particularly, there are some unpublished papers which were the preliminary versions of some of the author's pathbreaking papers. There are also some articles which appeared in conference proceedings and which may not have received as much exposure as one might desire. Milnor's work in the subjects appearing in this volume has given birth to whole programs and set the agenda of research in these subjects for the last five decades. The volume is divided into three parts. . . . [E]ach of the three parts starts with a succinct description of its contents by the editors. . . . [T]his volume is a treasurehouse."  B. Sury, Mathematical Reviews 


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