Milne Open Textbooks

Files

Download

Download Full Text (18.7 MB)

Description

Keep up to date on Introduction to Modeling and Analysis of Complex Systems at http://bingweb.binghamton.edu/~sayama/textbook/!

Introduction to the Modeling and Analysis of Complex Systems introduces students to mathematical/computational modeling and analysis developed in the emerging interdisciplinary field of Complex Systems Science. Complex systems are systems made of a large number of microscopic components interacting with each other in nontrivial ways. Many real-world systems can be understood as complex systems, where critically important information resides in the relationships between the parts and not necessarily within the parts themselves. This textbook offers an accessible yet technically-oriented introduction to the modeling and analysis of complex systems. The topics covered include: fundamentals of modeling, basics of dynamical systems, discrete-time models, continuous-time models, bifurcations, chaos, cellular automata, continuous field models, static networks, dynamic networks, and agent-based models. Most of these topics are discussed in two chapters, one focusing on computational modeling and the other on mathematical analysis. This unique approach provides a comprehensive view of related concepts and techniques, and allows readers and instructors to flexibly choose relevant materials based on their objectives and needs. Python sample codes are provided for each modeling example.

This textbook is available for purchase in both grayscale and color via Amazon.com and CreateSpace.com.

ISBN

9781942341062

Publication Date

2015

Publisher

Open SUNY Textbooks

City

Geneseo, NY

Keywords

agent-based models, bifurcation, cellular automata, chaos, complex systems, differential equations, dynamical networks, dynamical systems, mathematical models, network analysis, nonlinear systems, science, STEM

Disciplines

Mathematics

Comments

Using this text? We'd love to know more about you: fill out this short questionnaire to let us know!

Creative Commons License

Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 4.0 License.

Introduction to the Modeling and Analysis of Complex Systems

Included in

Mathematics Commons

Share

COinS