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Charles A. Weibel, Rutgers University, New Brunswick, NJ, USA
Charles Weibel's 'K-book' offers a plethora of material from both
classical and more recent algebraic K-theory. It is a perfect
source book for seasoned graduate students and working researchers
who are willing and eager to follow the author's expository path
and who are ready for a lot of additional reading and self-reliant
work. The many instructive examples and clarifying remarks help the
reader grasp the essentials of algebraic K-theory from a panoramic
view, and the entire exposition represents a highly valuable and
useful guide to the subject in all its diversity and topicality.
Although barely being a textbook or neophyte in the field, despite
the wealth of background material sketched wherever necessary, the
book, under review, is certainly the most topical presentation of
algebraic K-theory at this time and an excellent enhancement of the
existing literature in any case." - Newsletter of the European
Mathematical Society
"Weibel presents his important and elegant subject with the
authority of an experienced insider, placing stresses where they
should be, presenting motivations and characterizations (always
succinctly) so as to familiarize the reader with the shape of the
subject. ... it contains a great number of examples, woven
beautifully into the narrative, and excellent exercises." - MAA
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