A Julia package for Taylor expansions in one or more independent variables.

• Luis Benet, Instituto de Ciencias Físicas, Universidad Nacional Autónoma de México (UNAM)
• David P. Sanders, Facultad de Ciencias, Universidad Nacional Autónoma de México (UNAM)

Comments, suggestions and improvements are welcome and appreciated.

TaylorSeries can be installed from the REPL with Pkg.add("TaylorSeries").

The documentation is available here. Some examples can also found in the examples directory.

TaylorSeries is licensed under the MIT "Expat" license.

• Polynomials.jl: Polynomial manipulations
• PowerSeries.jl: Truncated power series for Julia
• MultiPoly.jl Sparse multivariate polynomials in Julia

• W. Tucker, Validated numerics: A short introduction to rigorous computations, Princeton University Press (2011).
• A. Haro, Automatic differentiation methods in computational dynamical systems: Invariant manifolds and normal forms of vector fields at fixed points, preprint.

This project began (using python) during a Masters' course in the postgraduate programs in Physics and in Mathematics at UNAM, during the second half of 2013. We thank the participants of the course for putting up with the half-baked material and contributing energy and ideas.

We acknowledge financial support from DGAPA-UNAM PAPIME grants PE-105911 and PE-107114, and DGAPA-PAPIIT grant IG-101113. LB acknowledges support through a Cátedra Moshinsky (2013).