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Books > Science & Mathematics > Mathematics > Applied mathematics
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Experimental Mathematics (Paperback)
Loot Price: R1,547
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Experimental Mathematics (Paperback)
Series: MSRI Mathematical Circles Library
Expected to ship within 12 - 17 working days
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One of the traditional ways mathematical ideas and even new areas
of mathematics are created is from experiments. One of the
best-known examples is that of the Fermat hypothesis, which was
conjectured by Fermat in his attempts to find integer solutions for
the famous Fermat equation. This hypothesis led to the creation of
a whole field of knowledge, but it was proved only after several
hundred years. This book, based on the author's lectures, presents
several new directions of mathematical research. All of these
directions are based on numerical experiments conducted by the
author, which led to new hypotheses that currently remain open,
i.e., are neither proved nor disproved. The hypotheses range from
geometry and topology (statistics of plane curves and smooth
functions) to combinatorics (combinatorial complexity and random
permutations) to algebra and number theory (continuous fractions
and Galois groups). For each subject, the author describes the
problem and presents numerical results that led him to a particular
conjecture. In the majority of cases there is an indication of how
the readers can approach the formulated conjectures (at least by
conducting more numerical experiments). Written in Arnold's unique
style, the book is intended for a wide range of mathematicians,
from high school students interested in exploring unusual areas of
mathematics on their own, to college and graduate students, to
researchers interested in gaining a new, somewhat nontraditional
perspective on doing mathematics. In the interest of fostering a
greater awareness and appreciation of mathematics and its
connections to other disciplines and everyday life, MSRI and the
AMS are publishing books in the Mathematical Circles Library series
as a service to young people, their parents and teachers, and the
mathematics profession.
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