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Pisot and Salem Numbers (Paperback, Softcover reprint of the original 1st ed. 1992)
Loot Price: R2,945
Discovery Miles 29 450
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Pisot and Salem Numbers (Paperback, Softcover reprint of the original 1st ed. 1992)
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the attention of The publication of Charles Pisot's thesis in 1938
brought to the mathematical community those marvelous numbers now
known as the Pisot numbers (or the Pisot-Vijayaraghavan numbers).
Although these numbers had been discovered earlier by A. Thue and
then by G. H. Hardy, it was Pisot's result in that paper of 1938
that provided the link to harmonic analysis, as discovered by
Raphael Salem and described in a series of papers in the 1940s. In
one of these papers, Salem introduced the related class of numbers,
now universally known as the Salem numbers. These two sets of
algebraic numbers are distinguished by some striking arith metic
properties that account for their appearance in many diverse areas
of mathematics: harmonic analysis, ergodic theory, dynamical
systems and alge braic groups. Until now, the best known and most
accessible introduction to these num bers has been the beautiful
little monograph of Salem, Algebraic Numbers and Fourier Analysis,
first published in 1963. Since the publication of Salem's book,
however, there has been much progress in the study of these
numbers. Pisot had long expressed the desire to publish an
up-to-date account of this work, but his death in 1984 left this
task unfulfilled."
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