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Alexandre Grothendieck - A Mathematical Portrait (Hardcover)
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Alexandre Grothendieck - A Mathematical Portrait (Hardcover)
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Mathematics students and researchers often react to Alexandre
Grothendieck's legendary fame in the world of mathematics by asking
just what the man did to earn him so brilliant a reputation. But as
legitimate as it is, the question is difficult to answer, because
of the particularly abstruse nature of his mathematics and the
wealth of notions he introduced, some of which have become so
natural and so familiar to mathematicians that it is easy to forget
that there was ever an actual individual who first brought them out
into the light, whereas others are so abstract that even experts
may take years to grasp them. It is not merely a matter of stating
some powerful, striking result that he proved, although there are
many of these. But more deeply, Grothendieck's work is based on a
whole system of recasting old ideas in new ways, and it transformed
the entire area of algebraic geometry essentially beyond
recognition. This book attempts to provide a reasonable explanation
of what made Grothendieck the mathematician that he was. Thirteen
articles written by people who knew him personally-some who even
studied or collaborated with him over a period of many
years-portray Grothendieck at work, explaining the nature of his
thought through descriptions of his discoveries and contributions
to various subjects, and with impressions, memories, anecdotes, and
some biographical elements. Seeing him through the eyes of those
who knew him well, the reader will come away with a better
understanding of what made Grothendieck unique.
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