Symbolic asymptotics has recently undergone considerable
theoretical development, especially in areas where power series are
no longer an appropriate tool. Implementation is beginning to
follow.
The present book, written by one of the leading specialists in
the area, 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.
The book is intended to be 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.
Due to its clear presentation, this book is interesting for a
broad audience of mathematicians and theoretical computer
scientists.
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