All the algorithms are based on mathematical theories in conformal geometry. The book "Computational Conformal Geometry" covers the necessary theoretic foundations in algebraic topology, differential geometry, Riemann surface theory and harmonic analysis. Curvature flow theories are also covered.

All algorithms in the library have been thoroughly explained in the books. By studying the book, reading the source codes and implementing the numerical experients, students can quickly grasp the essence of computational conformal geometry and get ready for independent research.