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Simplicial Complexes in Complex Systems

by Zhao Yi

A mathematical framework for complex systems

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Hardcover New English

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AlbakiReads Editorial

A mathematical framework for complex systems

Zhao Yi introduces simplicial complexes as an alternative framework for representing and analyzing complex systems. The book first lays out definitions and properties needed to work with these structures, then turns to their applicability and the tools and concepts associated with them. Its scope bridges mathematical foundations and their use in complex-systems research, making the connection between formal concepts and practical analysis the organizing thread.

Good fit for readers who enjoy

  • Readers seeking an introduction to simplicial complexes and their properties
  • Researchers or students interested in mathematical tools for representing complex systems

Themes

Simplicial complexesComplex-systems analysisMathematical representation and modeling

Based on publisher information and book metadata.

Book overview

For the last few decades researchers from different fields gather their findings and knowledge trying to give a shape to the new science of complex systems. To address this problem, new tools and methods have to be established. A new, or more precisely an alternative, framework for the characterization of complex system was proposed. In this book we will introduce the applicability of applicability of simplicial complexes in the science of complex systems. After introducing the main definitions and properties of simplicial complexes necessary for representation and analysis of complex systems, we will illustrate the usefulness and versatility of tools and concepts related to the simplicial complexes.

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