Boundaries of a Complex World (Springer Series in Synergetics)
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- Synopsis
- The centraltheme of this book is the extent to which the structure of the free dynamicalboundaries of a system controls the evolution of the system as a whole. Applyingthree orthogonal types of thinking - mathematical, constructivist andmorphological, it illustrates these concepts using applications to selectedproblems from the social and life sciences, as well as economics. In a broadercontext, it introduces and reviews some modern mathematical approaches to thescience of complex systems. Standard modeling approaches (based on non-lineardifferential equations, dynamic systems, graph theory, cellular automata,stochastic processes, or information theory) are suitable for studying localproblems. However they cannot simultaneously take into account all the differentfacets and phenomena of a complex system, and new approaches are required to solvethe challenging problem of correlations between phenomena at different levelsand hierarchies, their self-organization and memory-evolutive aspects, the growthof additional structures and are ultimately required to explain why and howsuch complex systems can display both robustness and flexibility. This graduate-leveltext also addresses a broader interdisciplinary audience, keeping themathematical level essentially uniform throughout the book, and involving onlybasic elements from calculus, algebra, geometry and systems theory.
- Copyright:
- 2016
Book Details
- Book Quality:
- Publisher Quality
- ISBN-13:
- 9783662490785
- Related ISBNs:
- 9783662490761
- Publisher:
- Springer Berlin Heidelberg, Berlin, Heidelberg
- Date of Addition:
- 07/30/18
- Copyrighted By:
- Springer
- Adult content:
- No
- Language:
- English
- Has Image Descriptions:
- No
- Categories:
- Nonfiction, Mathematics and Statistics
- Submitted By:
- Bookshare Staff
- Usage Restrictions:
- This is a copyrighted book.