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Mathematics Form and Function (Paperback, Softcover reprint of the original 1st ed. 1986)
Loot Price: R4,291
Discovery Miles 42 910
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Mathematics Form and Function (Paperback, Softcover reprint of the original 1st ed. 1986)
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This book records my efforts over the past four years to capture in
words a description of the form and function of Mathematics, as a
background for the Philosophy of Mathematics. My efforts have been
encouraged by lec- tures that I have given at Heidelberg under the
auspices of the Alexander von Humboldt Stiftung, at the University
of Chicago, and at the University of Minnesota, the latter under
the auspices of the Institute for Mathematics and Its Applications.
Jean Benabou has carefully read the entire manuscript and has
offered incisive comments. George Glauberman, Car- los Kenig,
Christopher Mulvey, R. Narasimhan, and Dieter Puppe have provided
similar comments on chosen chapters. Fred Linton has pointed out
places requiring a more exact choice of wording. Many conversations
with George Mackey have given me important insights on the nature
of Mathematics. I have had similar help from Alfred Aeppli, John
Gray, Jay Goldman, Peter Johnstone, Bill Lawvere, and Roger Lyndon.
Over the years, I have profited from discussions of general issues
with my colleagues Felix Browder and Melvin Rothenberg. Ideas from
Tammo Tom Dieck, Albrecht Dold, Richard Lashof, and Ib Madsen have
assisted in my study of geometry. Jerry Bona and B. L. Foster have
helped with my examina- tion of mechanics. My observations about
logic have been subject to con- structive scrutiny by Gert Miiller,
Marian Boykan Pour-El, Ted Slaman, R. Voreadou, Volker Weispfennig,
and Hugh Woodin.
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