{"product_id":"9789814632812","title":"Tropical Value Distribution Theory And Ultra-discrete Equations","description":"\u003cp\u003eThis 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.\u003c\/p\u003e\u003cp\u003eDetailed presentation of the proofs makes the book accessible for lecture courses and independent studies at the graduate and post-doctoral level.\u003c\/p\u003e\u003cb\u003eContents:\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eTropical Polynomials, Rationals and Exponentials\u003c\/li\u003e\n\u003cli\u003eTropical Entire Functions\u003c\/li\u003e\n\u003cli\u003eOne-dimensional Tropical Nevanlinna Theory\u003c\/li\u003e\n\u003cli\u003eClunie and Mohon'ko Type Theorems\u003c\/li\u003e\n\u003cli\u003eTropical Holomorphic Curves\u003c\/li\u003e\n\u003cli\u003eRepresentations of Tropical Periodic Functions\u003c\/li\u003e\n\u003cli\u003eApplications to Ultra-Discrete Equations\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003e\u003ci\u003eAppendices:\u003c\/i\u003e\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eClassical Nevanlinna and Cartan Theories\u003c\/li\u003e\n\u003cli\u003eIntroduction to Ultra-Discrete Painlevé Equations\u003c\/li\u003e\n\u003cli\u003eSome Operators in Complex Analysis\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e \u003cbr\u003e\u003cb\u003eReadership:\u003c\/b\u003e Graduate students, post-graduates and researchers.\u003cbr\u003e\u003cb\u003eKey Features:\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eFirst monograph type presentation in this topic\u003c\/li\u003e\n\u003cli\u003eSome of the material is new in contents, which follows in the presentation\u003c\/li\u003e\n\u003cli\u003eThe contributors have been active in value distribution theory, including its tropical variant\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"World Scientific Publishing Company, Incorporated","offers":[{"title":"Default Title","offer_id":47185305600240,"sku":"9789814632812","price":46.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9789814632812_p0.jpg?v=1763691315","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9789814632812","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}