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Books > Science & Mathematics > Mathematics > Applied mathematics
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Principles of Fourier Analysis (Hardcover, 2nd edition)
Loot Price: R2,963
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Principles of Fourier Analysis (Hardcover, 2nd edition)
Series: Textbooks in Mathematics
Expected to ship within 12 - 19 working days
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Fourier analysis is one of the most useful and widely employed sets
of tools for the engineer, the scientist, and the applied
mathematician. As such, students and practitioners in these
disciplines need a practical and mathematically solid introduction
to its principles. They need straightforward verifications of its
results and formulas, and they need clear indications of the
limitations of those results and formulas. Principles of Fourier
Analysis furnishes all this and more. It provides a comprehensive
overview of the mathematical theory of Fourier analysis, including
the development of Fourier series, "classical" Fourier transforms,
generalized Fourier transforms and analysis, and the discrete
theory. Much of the author's development is strikingly different
from typical presentations. His approach to defining the classical
Fourier transform results in a much cleaner, more coherent theory
that leads naturally to a starting point for the generalized
theory. He also introduces a new generalized theory based on the
use of Gaussian test functions that yields an even more general
-yet simpler -theory than usually presented. Principles of Fourier
Analysis stimulates the appreciation and understanding of the
fundamental concepts and serves both beginning students who have
seen little or no Fourier analysis as well as the more advanced
students who need a deeper understanding. Insightful, non-rigorous
derivations motivate much of the material, and thought-provoking
examples illustrate what can go wrong when formulas are misused.
With clear, engaging exposition, readers develop the ability to
intelligently handle the more sophisticated mathematics that
Fourier analysis ultimately requires.
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