Symbolic Calculus¶
Calculus is done using symbolic expressions which consist of symbols and numeric objects linked by operators (functions).
Note
While polynomial manipulation can be done with expressions, it is more efficient to use polynomial ring elements
Using calculus¶
- Symbolic Computation
- Examples
- More about symbolic variables and functions
- Main operations on symbolic expressions
- Assumptions about symbols and functions
- Symbolic Equations and Inequalities
- Symbolic Series
- Symbolic Integration
- Solving ordinary differential equations
- Solving ODE numerically by GSL
- Numerical Integration
- Real Interpolation using GSL
- Transforms
- Vector Calculus
- Riemann Mapping
- Other calculus functionality
- Complexity Measures
- Units of measurement
Internal functionality supporting calculus¶
- The symbolic ring
- Subrings of the Symbolic Ring
- Operators
- Operands
- Classes for symbolic functions
- Functional notation support for common calculus methods
- Factory for symbolic functions
- Internals of Callable Symbolic Expressions
- Conversion of symbolic expressions to other types
- Substitution Maps
- Benchmarks
- Randomized tests of GiNaC / PyNaC
- Pynac interface
- Access to Maxima methods
- External integrators
- External interpolators