Accessible to anyone with a good general background in mathematics, but it nonetheless gets right to the cutting edge of active research.
Some results appear here for the first time, while others have hitherto only been given in preprints.
Zero Equivalence.- Hardy Fields.- Output Data Structures.- Algorithms for Function Towers.- Algebraic Differential Equations.- Inverse Functions.- Implicit Functions.- Star-Product Expansions.- Oscillating Functions.- References.