Written by one of the leading specialists in the area, this text is currently the only one to treat this part of symbolic asymptotics. It contains a good deal of interesting material in a new, developing field of mathematics at the intersection of algebra, analysis and computing, presented in a lively and readable way. The associated areas of zero equivalence and Hardy fields are also covered. Due to its clear presentation, this book is interesting for a broad audience of mathematicians and theoretical computer scientists.

Includes supplementary material: sn.pub/extras

Inhalt
Zero Equivalence.- Hardy Fields.- Output Data Structures.- Algorithms for Function Towers.- Algebraic Differential Equations.- Inverse Functions.- Implicit Functions.- Star-Product Expansions.- Oscillating Functions.- References.