Elements of partial differential equations.
Elements of partial differential equations partial differential equation
In mathematics, an equation that contains partial derivatives, expressing a process of change that depends on more than one independent variable. .
Drabek, Pavel and Gabriela Holubova.
Walter de Gruyter
De gruyter textbooks
Although designed for use in the undergraduate classroom, this
accessible text uses examples, illustrations and exercises so
efficiently this could double as a self-study guide. The authors, (both
mathematics, U. of West Bohemia) cover mathematical models
conservation, constitutive constitutive /con·sti·tu·tive/ (kon-stich´u-tiv) produced constantly or in fixed amounts, regardless of environmental conditions or demand. laws, classification, types of equations,
boundary, initial conditions, liner partial differential equations of
the first order, wave equations in one spatial variable, diffusions in
one spatial variable, Laplace and Poisson equations in two dimensions,
solutions of initial boundary value problems In mathematics, in the field of differential equations, a boundary value problem is a differential equation together with a set of additional restraints, called the boundary conditions. for evolution equations,
solutions of boundary value problems for stationary equations, methods
of integral transforms, general principles (including the energy method
and Laplace equation), Laplace and Poisson equations in higher
dimensions Higher dimension as a term in mathematics most commonly refers to any number of spatial dimensions greater than three.
- Note: The term model has a different meaning in model theory, a branch of mathematical logic. An artifact which is used to illustrate a mathematical idea is also called a mathematical model and this usage is the reverse of the sense explained below.
The three standard dimensions are length, width, and breadth (or height). , diffusion equations in higher dimensions, and wave equations
in higher dimensions, with appendices on the Sturm-Liouville problem and
([c]20072005 Book News, Inc., Portland, OR)