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Have You Ever Solved a Partial Differential Equation?
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 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 user only needs superficial knowledge of how solutions are generated internally. The Student Version is exploited in this self-instructional book, except in a few advanced examples. This e-book comprises 120 documented examples, illustrated by color plots on 279 pages. There are applications to Gravity, Electricity, Magnetism, and Heat Transport in 2D and 3D. The following list shows a few subjects found in the table of contents.
• Plotting functions
• Fields of gravitation
• Fields around electric charges
• Electrostatic fields in (x,y) and (ρ,z) space, forces, and energy
• Magnetostatics in (x,y) and (ρ,z) space
• Heat conduction in (x,y) and (ρ,z) space
• Non-linear heat transfer
• Electron and hole conduction
• Fields in (x,y,z) space
• Vocabulary of FlexPDE
This seems to be the only e-book of its kind.
eBookMall recently interviewed Gunnar Backstrom. Here is an excerpt:
What advice would you give to students going into mathematics and/or physics?
"I should encourage them to engage in research and innovation in fields that are of immediate interest for humans."
Read more on Gunnar's author page!