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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Partial Differential Equations - Modelling and Numerical Simulation (Hardcover, 2008 ed.)
Loot Price: R4,772
Discovery Miles 47 720
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Partial Differential Equations - Modelling and Numerical Simulation (Hardcover, 2008 ed.)
Series: Computational Methods in Applied Sciences, 16
Expected to ship within 10 - 15 working days
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For more than 250 years partial di?erential equations have been
clearly the most important tool available to mankind in order to
understand a large variety of phenomena, natural at ?rst and then
those originating from - man activity and technological
development. Mechanics, physics and their engineering applications
were the ?rst to bene't from the impact of partial di?erential
equations on modeling and design, but a little less than a century
ago the Schr] odinger equation was the key opening the door to the
application of partial di?erential equations to quantum chemistry,
for small atomic and molecular systems at ?rst, but then for
systems of fast growing complexity. The place of partial
di?erential equations in mathematics is a very particular one:
initially, the partial di?erential equations modeling natural
phenomena were derived by combining calculus with physical
reasoning in order to - press conservation laws and principles in
partial di?erential equation form, leading to the wave equation,
the heat equation, the equations of elasticity, the Euler and
Navier-Stokes equations for ?uids, the Maxwell equations of
electro-magnetics, etc. It is in order to solve 'constructively'
the heat equation that Fourier developed the series bearing his
name in the early 19th century; Fourier series (and later
integrals) have played (and still play) a fundamental
roleinbothpureandappliedmathematics, includingmanyareasquiteremote
from partial di?erential equations. On the other hand, several
areas of mathematics such as di?erential ge- etry have bene?ted
from their interactions with partial di?erential equations."
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