id: 05964573
dt: b
an: 2012b.00527
au: Davis, Philip J.; Hersh, Reuben; Marchisotto, Elena Anne
ti: The mathematical experience. Study edition. With an introduction by
Gian-Carlo Rota. Reprint of the 1995 edition, updated with epilogues by
the authors.
so: Modern Birkhäuser Classics. Berlin: Springer (ISBN 978-0-8176-8294-1/pbk;
978-0-8176-8295-8/ebook). xxv, 500~p. (2012).
py: 2012
pu: Berlin: Springer
la: EN
cc: E20 A80 A30
ut: mathematics for non-mathematicians; general mathematics; history of
mathematics; philosophy of mathematics
ci: Zbl 0837.00001
li: doi:10.1007/978-0-8176-8295-8
ab: This is a reprint of the 1995 edition [Zbl 0837.00001] of a well-known and
popular text. In a new edition, each of the authors added a brief essay
in the end. Philip J. Davis listed a number of new applications of
mathematics (search engines, bioinformatics, computer vision,
computational finance, etc.) that have become prominent since the
appearance of {\it The Mathematical Experience}. In the Philosophical
Afterword, Reuben Hersh briefly commented on a few famous instances in
the last few decades that are directly related to topics in the book.
These are Wile’s proof of Fermat’s last theorem, Perelman’s proof
of the Poincaré conjecture, wavelets as a generalization of Fourier
analysis, fractals as a new kind of non-Euclidean geometry, and random
matrices in connection with the Riemann hypothesis. Finally, in the
Pedagogical Afterword, Elena Anne Corie Marchisotto commented on the
twenty five years of the use of the study edition both in lower and
upper division general education courses at California State University
Northridge and by the wider audience. A warmly welcomed reprint of a
very nice book that can be recommended for teaching, self-education,
and simply as an entertaining reading.
rv: Svitlana P. Rogovchenko (Umeå)