![]() Still, as all four are in active development, the landscape has changed considerably since the last time, so it is worthwhile revisiting the question. We have compared these four languages twice before here on Vox (Danielsson and Fan 2018, Aguirre and Danielsson 2020). madness.Researchers in economics and finance looking for a modern general purpose programming language have four choices – Julia, MATLAB, Python, and R. Programming your own computer algebra system would be like. Programming in FORTRAN would be numerical computation without the library of ready-made methods, and without a consistent user interface. I guess one could say that numerical software is for people who know what problems they want to solve, while computer algebra systems is for people who don't know yet what problems they are looking for. In fact, they can manipulate formulas that don't contain numbers at all, but merely number-like entities. the software package "knows" how to do stuff accurately and quickly even when the input is millions or billions of numbers.Ĭomputer algebra systems focus on manipulating abstract mathematical formulas that do not necessarily contain concrete numbers. If all goes well, you don't have to worry much about the finite precision or the finite processing speed of the available computing machinery. Usually it comes with a library of ready-made methods to compute specific results. Numerical software focuses on manipulating datasets of concrete numbers. I don't want to focus on "how can i implement this problem in ", i want to know "what can i do with this math concept" and "what happen if i change this or that".įocus on mathematic, not programming. programming often require that you master (or really understand) the concept you use. Writing a program you barely understand is very difficult. Once i understood enough of the required concept to understand a chapter, i go back to the book, and read again. I try to understand what they say (usually, i don't understand), i read some reference and documentation to understand the concept they use in the this book. I own the NonLinear workbook ( ) which is awesome. I want to use it as a "tool" that help to understand, not as a teaching book. Mathematics is much more tangible these days than ever before in history. Computer algebra systems are not a shortcut to mathematical knowledge, but they can be great tools for exploration. unless you are very serious and use the computer algebra tool as a means for learning. I am trying to prepare you for a bit of disappointment. I am not trying to tell you that you suck. It's not the machine that gains enlightening insights, it's the person in front of it. That is the task of the human user of the software. But the computer never knows the _meaning_ of those formulas. The software can and will do the tedious job of manipulating formulas, meticulously, fast, and with far fewer errors than almost any human. This kind of software can be very powerful, but it does not turn everyone into a mathematician. I only ever used Maple, not the other computer algebra packages you mentioned. I'm afraid to do a mistake by buying a software (or spending a lot of time to understand the very unfriendly scilab) for nothing. ![]() ) and i'd like to focus on math while still being able to generate and/or process image, or (simple) fluid dynamic simulation. and i keep learning math by following courses at (free and awesome!) but i'm tired of mixing both math and programming (fortran, java, c. *sigh*), of course i know complex numbers (fractal is full of it), trigonometry, some linear algebra, differential equation (not so much). I love math, but i lack a lot of knowledge (i stopped school too early. and look like the "best" to me (because of the documentation and interface).Īnd it look like the "best" to continue to learn more and more and more mathematic, by providing the right tool.Īny user of one of the software (or all?) could share their experiences please ? Overall, Wolfram (mathematica) provide a lot of information, tools, tutorials. look much more user friendly, and there is a "cheap" (~295€) for "personnal use" complete version (home edition). ![]() ![]() i was never able to do something interesting with it. I tried Scilab (free software !) but i just "don't get it". I'm willing to experiment mathematic software for : fractal, image processing, simulation, and.
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