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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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An Invitation to Applied Mathematics - Differential Equations, Modeling, and Computation (Hardcover)
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An Invitation to Applied Mathematics - Differential Equations, Modeling, and Computation (Hardcover)
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An Invitation to Applied Mathematics: Differential Equations,
Modeling, and Computation introduces the reader to the methodology
of modern applied mathematics in modeling, analysis, and scientific
computing with emphasis on the use of ordinary and partial
differential equations. Each topic is introduced with an attractive
physical problem, where a mathematical model is constructed using
physical and constitutive laws arising from the conservation of
mass, conservation of momentum, or Maxwell's electrodynamics.
Relevant mathematical analysis (which might employ vector calculus,
Fourier series, nonlinear ODEs, bifurcation theory, perturbation
theory, potential theory, control theory, or probability theory) or
scientific computing (which might include Newton's method, the
method of lines, finite differences, finite elements, finite
volumes, boundary elements, projection methods, smoothed particle
hydrodynamics, or Lagrangian methods) is developed in context and
used to make physically significant predictions. The target
audience is advanced undergraduates (who have at least a working
knowledge of vector calculus and linear ordinary differential
equations) or beginning graduate students. Readers will gain a
solid and exciting introduction to modeling, mathematical analysis,
and computation that provides the key ideas and skills needed to
enter the wider world of modern applied mathematics.
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