

Maxima
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Maxima is a system for the manipulation of symbolic and numerical expressions, including differentiation, integration, Taylor series, Laplace transforms, ordinary differential equations, systems of linear equations, polynomials, and sets, lists, vectors, matrices, and tensors.
Cost / License
- Free
- Open Source
Platforms
- Mac
- Windows
- Linux
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Comments and Reviews
If you combine it with Cantor (a KDE user interface), which can use Maxima as a backend you have a very good substitute for Maple and other similar non-free software.
This is the open source program the most similar to Derive, especially older Derive versions. However, there is an important difference when it comes to numbers: Derive tries to show everything as fractions. Maxima goes into decimals as early as possible.
Depends on how you use it, if you write 1.0 instead of 1, one is a float and the other one an “algebraic” one. There are many options to control how the simplifications are performed.
Excellent program for symbolic math. Helped me a lot dealing with linear ODE. Few tutorials around the web got me going.