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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Physics and Partial Differential Equations, Volume 1 (Paperback)
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Physics and Partial Differential Equations, Volume 1 (Paperback)
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Now available in English for the first time, Physics and Partial
Differential Equations, Volume I bridges physics and applied
mathematics in a manner that is easily accessible to readers with
an undergraduate-level background in these disciplines. Readers who
are more familiar with mathematics than physics will discover the
connection between various physical and mechanical disciplines and
their related mathematical models, which are described by partial
differential equations (PDEs). The authors establish the
fundamental equations for fields such as electrodynamics; fluid
dynamics, magnetohydrodynamics, and reacting fluid dynamics;
elastic, thermoelastic, and viscoelastic mechanics; the kinetic
theory of gases; special relativity; and quantum mechanics. Readers
who are more familiar with physics than mathematics will benefit
from in-depth explanations of how PDEs work as effective
mathematical tools to more clearly express and present the basic
concepts of physics. The book describes the mathematical structures
and features of these PDEs, including the types and basic
characteristics of the equations, the behavior of solutions, and
some commonly used approaches to solving PDEs. Each chapter can be
read independently and includes exercises and references.
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