This is the first textbook-type presentation of tropical value
distribution theory. It provides a detailed introduction of the
tropical version of the Nevanlinna theory, describing growth and
value distribution analysis of continuous, piecewise linear
functions on the real axis. The book also includes applications of
this theory to ultra-discrete equations. Three appendices are given
to compare the contents of the theory with the classical
counterparts in complex analysis.Detailed presentation of the
proofs makes the book accessible for lecture courses and
independent studies at the graduate and post-doctoral level.
General
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