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Asymptotology - Ideas, Methods, and Applications (Hardcover, 2002 ed.)
Loot Price: R1,747
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Asymptotology - Ideas, Methods, and Applications (Hardcover, 2002 ed.)
Series: Mathematics and Its Applications, 551
Expected to ship within 10 - 15 working days
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Asymptotic methods belong to the, perhaps, most romantic area of
modern mathematics. They are widely known and have been used in me
chanics, physics and other exact sciences for many, many decades.
But more than this, asymptotic ideas are found in all branches of
human knowledge, indeed in all areas of life. In this broader
context they have not and perhaps cannot be fully formalized.
However, they are mar velous, they leave room for fantasy, guesses
and intuition; they bring us very near to the border of the realm
of art. Many books have been written and published about asymptotic
meth ods. Most of them presume a mathematically sophisticated
reader. The authors here attempt to describe asymptotic methods on
a more accessi ble level, hoping to address a wider range of
readers. They have avoided the extreme of banishing formulae
entirely, as done in some popular science books that attempt to
describe mathematical methods with no mathematics. This is
impossible (and not wise). Rather, the authors have tried to keep
the mathematics at a moderate level. At the same time, using simple
examples, they think they have been able to illustrate all the key
ideas of asymptotic methods and approaches, to depict in de tail
the results of their application to various branches of knowledg-
from astronomy, mechanics, and physics to biology, psychology and
art. The book is supplemented by several appendices, one of which
con tains the profound ideas of R. G."
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