Download a free sample of this eBook
Partial differential equations (PDEs) predict how fields vary in space and time, and they are hence of vital importance in physics and engineering. In spite of this central role, PDEs have not yet received the attention they deserve in college curricula. This is because very few exact solutions exist, and numerical solutions are cumbersome, to the extent that the latter are taught within separate academic disciplines, such as Applied Mathematics, Numerical Analysis, or Computation. These disciplines focus on numerical methods, however, rather than actual solutions and are mostly of little practical value to scientists and engineers.
A program now available on the web solves PDEs in seconds on a simple PC. The Student Version of FlexPDE is FREE!
The Student Version is sufficient for the present e-book, except in a few advanced examples. This e-book (227 pages) solves a hundred documented problems, the results being illustrated by color plots.
The following list quotes a few subjects from the table of contents.
• Graphical facilities and fields of gravitation
• “Curly” velocity fields
• Laplace and Poisson equations
• Elementary elasticity in (x,y) and straight beams
• Hooks, rings, and tubes
• Elasticity in (ρ,z) space
• Torsion and warping
• Deformation in three dimensions
• Waves along a beam
• Eigenstates of a membrane
• Eigenstates in (x,y,z)
• Waves in fluids
• Vocabulary of FlexPDE
This seems to be the only book of its kind.