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Famous Functions in Number Theory (Paperback)
Loot Price: R713
Discovery Miles 7 130
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Famous Functions in Number Theory (Paperback)
Series: IAS/PCMI--The Teacher Program Series
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Designed for precollege teachers by a collaborative of teachers,
educators, and mathematicians, Famous Functions in Number Theory is
based on a course offered in the Summer School Teacher Program at
the Park City Mathematics Institute. But this book isn't a
``course'' in the traditional sense. It consists of a carefully
sequenced collection of problem sets designed to develop several
interconnected mathematical themes, and one of the goals of the
problem sets is for readers to uncover these themes for themselves.
Famous Functions in Number Theory introduces readers to the use of
formal algebra in number theory. Through numerical experiments,
participants learn how to use polynomial algebra as a bookkeeping
mechanism that allows them to count divisors, build multiplicative
functions, and compile multiplicative functions in a certain way
that produces new ones. One capstone of the investigations is a
beautiful result attributed to Fermat that determines the number of
ways a positive integer can be written as a sum of two perfect
squares. Famous Functions in Number Theory is a volume of the book
series IAS/PCMI-The Teacher Program Series published by the
American Mathematical Society. Each volume in that series covers
the content of one Summer School Teacher Program year and is
independent of the rest.
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