國立虎尾科技大學 |

Boundaries of a Complex World

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Boundaries of a Complex World/ by Andrei Ludu.
作者:	Ludu, Andrei.
面頁冊數:	XVIII, 363 p. 158 illus., 113 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Mathematical Physics. -
電子資源:	https://doi.org/10.1007/978-3-031-07361-8
ISBN:	9783031073618

Boundaries of a Complex World
Ludu, Andrei.

Boundaries of a Complex World[electronic resource] /by Andrei Ludu. - 2nd ed. 2022. - XVIII, 363 p. 158 illus., 113 illus. in color.online resource. - 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

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

786661
Mathematical Physics.

LC Class. No.: Q295

Dewey Class. No.: 530.1

Boundaries of a Complex World
LDR:03171nam a22004095i 4500 001 1083505
003 DE-He213
005 20220923230148.0
007 cr nn 008mamaa
008 221228s2022 sz | s |||| 0|eng d
020 $a 9783031073618 $9 978-3-031-07361-8
024 7 $a 10.1007/978-3-031-07361-8 $2 doi
035 $a 978-3-031-07361-8
050 4 $a Q295
072 7 $a GPFC $2 bicssc
072 7 $a SCI055000 $2 bisacsh
072 7 $a GPFC $2 thema
082 0 4 $a 530.1 $2 23
100 1 $a Ludu, Andrei. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 890365
245 1 0 $a Boundaries of a Complex World $h [electronic resource] / $c by Andrei Ludu.
250 $a 2nd ed. 2022.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2022.
300 $a XVIII, 363 p. 158 illus., 113 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Springer Series in Synergetics, $x 2198-333X
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.
650 2 4 $a Mathematical Physics. $3 786661
650 2 4 $a Applied Dynamical Systems. $3 1366186
650 1 4 $a Complex Systems. $3 888664
650 0 $a Mathematical physics. $3 527831
650 0 $a Nonlinear theories. $3 527937
650 0 $a Dynamics. $3 592238
650 0 $a System theory. $3 566168
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783031073601
776 0 8 $i Printed edition: $z 9783031073625
776 0 8 $i Printed edition: $z 9783031073632
830 0 $a Springer Series in Synergetics, $x 0172-7389 $3 1262145
856 4 0 $u https://doi.org/10.1007/978-3-031-07361-8
912 $a ZDB-2-PHA
912 $a ZDB-2-SXP
950 $a Physics and Astronomy (SpringerNature-11651)
950 $a Physics and Astronomy (R0) (SpringerNature-43715)