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Mathematical modelling :selected objects and processes /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Mathematical modelling :Anatoliy A. Martynyuk, Bogusław Radziszewski.
其他題名:	selected objects and processes /
作者:	Martyni︠u︡k, A. A.
其他作者:	Radziszewski, Bogusław,
出版者:	New Jersey :World Scientific,c2025.
面頁冊數:	xix, 384 p. :ill. ;24 cm.
標題:	Mathematical models.
ISBN:	9789811290657 :

Mathematical modelling :selected objects and processes /
Martyni︠u︡k, A. A.

Mathematical modelling :selected objects and processes /Anatoliy A. Martynyuk, Bogusław Radziszewski. - New Jersey :World Scientific,c2025. - xix, 384 p. :ill. ;24 cm. - Series on advances in mathematics for applied sciences,vol. 931793-0901 ;. - Series on advances in mathematics for applied sciences ;v. 83..

Includes bibliographical references and index.

Model and modelling, general remarks -- A Priori information -- Subjective information -- Complexity.

"This is the first book on the problems of mathematical modeling that combines a generalized approach to the problem of mathematical modeling processes and phenomena in the real world with developing modeling methods in relation to specific objects and processes. Some of the problems discussed here include stability and bifurcation of simplified models of supply and demand, and resultants of various approaches, such as standardization, unification and partial order, data packaging. As well as touching upon the general principles of modeling, the book studies the stability of mathematical models using the generalized direct Lyapunov method based on matrix-valued auxiliary functions. It has significant potential for application in the design of new moving objects (nano-robots, manipulators, drones, etc.) and processes related to artificial intelligence (multidimensional interaction of related data arrays) that can be described by differential equations of different types. Written by two well-known specialists in the field of qualitative theory of equations and problems of modeling real-world phenomena, this book is primarily targeted at specialists in the field of engineering sciences, but is also suitable for graduate courses"--

ISBN: 9789811290657 :NT$4261

LCCN: 2024033114Subjects--Topical Terms:

182479
Mathematical models.

LC Class. No.: QA401 / .M38 2025

Dewey Class. No.: 511/.8

Mathematical modelling :selected objects and processes /
LDR:02286cam a2200277 a 4500 001 675805
003 OCoLC
005 20250620040150.0
008 250818s2025 njua b 001 0 eng
010 $a 2024033114
020 $a 9789811290657 : $c NT$4261
020 $a 9811290652
020 $z 9789811290664 (ebook for institutions)
020 $z 9789811290671 (ebook for individuals)
035 $a (OCoLC)1420139621
035 $a on1420139621
040 $a DLC $b eng $c DLC $d IG# $d OCLCO
042 $a pcc
050 0 0 $a QA401 $b .M38 2025
082 0 0 $a 511/.8 $2 23
100 1 $a Martyni︠u︡k, A. A. $q (Anatoliĭ Andreevich), $e author. $3 989581
245 1 0 $a Mathematical modelling : $b selected objects and processes / $c Anatoliy A. Martynyuk, Bogusław Radziszewski.
260 $a New Jersey : $b World Scientific, $c c2025.
300 $a xix, 384 p. : $b ill. ; $c 24 cm.
490 1 $a Series on advances in mathematics for applied sciences, $x 1793-0901 ; $v vol. 93
504 $a Includes bibliographical references and index.
505 2 $a Model and modelling, general remarks -- A Priori information -- Subjective information -- Complexity.
520 $a "This is the first book on the problems of mathematical modeling that combines a generalized approach to the problem of mathematical modeling processes and phenomena in the real world with developing modeling methods in relation to specific objects and processes. Some of the problems discussed here include stability and bifurcation of simplified models of supply and demand, and resultants of various approaches, such as standardization, unification and partial order, data packaging. As well as touching upon the general principles of modeling, the book studies the stability of mathematical models using the generalized direct Lyapunov method based on matrix-valued auxiliary functions. It has significant potential for application in the design of new moving objects (nano-robots, manipulators, drones, etc.) and processes related to artificial intelligence (multidimensional interaction of related data arrays) that can be described by differential equations of different types. Written by two well-known specialists in the field of qualitative theory of equations and problems of modeling real-world phenomena, this book is primarily targeted at specialists in the field of engineering sciences, but is also suitable for graduate courses"-- $c Provided by publisher.
650 0 $a Mathematical models. $3 182479
650 0 $a Lyapunov functions. $3 306549
700 1 $a Radziszewski, Bogusław, $e author. $3 989582
830 0 $a Series on advances in mathematics for applied sciences ; $v v. 83. $3 575216