Tropical Value Distribution Theory and Ultra-Discrete Equations |
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| Author:
| Laine, Ilpo
Tohge, Kazuya
Korhonen, Risto |
| ISBN: | 978-981-4632-80-5 |
| Publication Date: | Mar 2015 |
| Publisher: | World Scientific Publishing Co Pte Ltd
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| Book Format: | Digital (delivered electronically) |
| List Price: | USD $124.00 |
Book Description:
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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...
More DescriptionThis 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.