Tropical Value Distribution Theory And Ultra-discrete Equations
Author:   Risto Korhonen (Univ Of Eastern Finland, Finland) ,  Ilpo Laine (Univ Of Eastern Finland, Finland) ,  Kazuya Tohge (Kanazawa Univ, Japan)
Publisher:   World Scientific Publishing Co Pte Ltd
ISBN:  

9789814632799


Pages:   280
Publication Date:   18 May 2015
Format:   Hardback
Availability:   In Print   Availability explained
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Tropical Value Distribution Theory And Ultra-discrete Equations


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Overview

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.

Full Product Details

Author:   Risto Korhonen (Univ Of Eastern Finland, Finland) ,  Ilpo Laine (Univ Of Eastern Finland, Finland) ,  Kazuya Tohge (Kanazawa Univ, Japan)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Dimensions:   Width: 15.50cm , Height: 2.00cm , Length: 23.10cm
Weight:   0.544kg
ISBN:  

9789814632799


ISBN 10:   9814632791
Pages:   280
Publication Date:   18 May 2015
Audience:   College/higher education ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Tropical Polynomials, Rationals and Exponentials; Tropical Entire Functions; One-dimensional Tropical Nevanlinna Theory; Clunie and Mohon'ko Type Theorems; Tropical Holomorphic Curves; Representations of Tropical Periodic Functions; Applications to Ultra-Discrete Equations; Appendices: Classical Nevanlinna and Cartan Theories; Introduction to Ultra-Discrete Painleve Equations; Some Operators in Complex Analysis;

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