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Boundaries of a complex world

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Boundaries of a complex worldby Andrei Ludu.
作者:	Ludu, Andrei.
出版者:	Cham :Springer International Publishing :2022.
面頁冊數:	xviii, 363 p. :ill. (chiefly color), digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Boundary value problems.
電子資源:	https://doi.org/10.1007/978-3-031-07361-8
ISBN:	9783031073618$q(electronic bk.)

Boundaries of a complex world
Ludu, Andrei.

Boundaries of a complex world[electronic resource] /by Andrei Ludu. - Second edition. - Cham :Springer International Publishing :2022. - xviii, 363 p. :ill. (chiefly color), digital ;24 cm. - Springer series in synergetics,2198-333X. - Springer series in synergetics..

Introduction -- Boundaries in Visual Perception and the Arts -- Boundaries in Social Systems -- Continuous Mathematics -- Discrete Mathematics -- The Boundary in the Philosophy of Science -- Networks and their Boundaries -- Big Data Systems -- Liquid Boundaries -- Conclusions.

The 2nd edition of this book provides novel topics and studyies in boundaries of networks and Big Data Systems.The central theme of this book is the extent to which the structure of the free dynamical boundaries of a system controls the evolution of the system as a whole. Applying three orthogonal types of thinking - mathematical, constructivist and morphological, it illustrates these concepts using applications to selected problems from the social and life sciences, as well as economics. In a broader context, it introduces and reviews some modern mathematical approaches to the science of complex systems. Standard modeling approaches (based on non-linear differential equations, dynamic systems, graph theory, cellular automata, stochastic processes, or information theory) are suitable for studying local problems. However they cannot simultaneously take into account all the different facets and phenomena of a complex system, and new approaches are required to solve the challenging problem of correlations between phenomena at different levels and hierarchies, their self-organization and memory-evolutive aspects, the growth of additional structures and are ultimately required to explain why and how such complex systems can display both robustness and flexibility. This graduate-level text addresses a broader interdisciplinary audience, keeping the mathematical level essentially uniform throughout the book, and involving only basic elements from calculus, algebra, geometry and systems theory.

ISBN: 9783031073618$q(electronic bk.)

Standard No.: 10.1007/978-3-031-07361-8doiSubjects--Topical Terms:

206979
Boundary value problems.

LC Class. No.: QA379

Dewey Class. No.: 515.35

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505 0 $a Introduction -- Boundaries in Visual Perception and the Arts -- Boundaries in Social Systems -- Continuous Mathematics -- Discrete Mathematics -- The Boundary in the Philosophy of Science -- Networks and their Boundaries -- Big Data Systems -- Liquid Boundaries -- Conclusions.
520 $a The 2nd edition of this book provides novel topics and studyies in boundaries of networks and Big Data Systems.The central theme of this book is the extent to which the structure of the free dynamical boundaries of a system controls the evolution of the system as a whole. Applying three orthogonal types of thinking - mathematical, constructivist and morphological, it illustrates these concepts using applications to selected problems from the social and life sciences, as well as economics. In a broader context, it introduces and reviews some modern mathematical approaches to the science of complex systems. Standard modeling approaches (based on non-linear differential equations, dynamic systems, graph theory, cellular automata, stochastic processes, or information theory) are suitable for studying local problems. However they cannot simultaneously take into account all the different facets and phenomena of a complex system, and new approaches are required to solve the challenging problem of correlations between phenomena at different levels and hierarchies, their self-organization and memory-evolutive aspects, the growth of additional structures and are ultimately required to explain why and how such complex systems can display both robustness and flexibility. This graduate-level text addresses a broader interdisciplinary audience, keeping the mathematical level essentially uniform throughout the book, and involving only basic elements from calculus, algebra, geometry and systems theory.
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