Modelling

This book includes the outcomes of the 59th Symposium “Modelowanie w Mechanice” (Engineering Modelling in Mechanics) held in Ustroń from 22 February to 26 February 2020. The International Conference has an over 58-year-old history and is organized by the Department of Theoretical and Applied Mechanics of Silesian University of Technology under the patronage of the Polish Society of Theoretical and Applied Mechanics, Gliwice Branch.

This edited volume presents applications and modelling as a world-renowned sub-field of research in mathematics education. It includes the discussion on students’ development of modelling competency through the teaching of applications and modelling. The teaching of mathematical modelling is considered from different perspectives, such as mathematical, pedagogical-didactical perspectives and critical-societal or socio-political perspectives. Assessment practices (local, regional or international) of modelling activities and difficulties with modelling activities at school and university levels, respectively, are discussed. Use of technology and other resources in modelling activities and their impact on the modelling processes are included in the considerations. Teaching practices, teacher education and professional development programs concerning the integration of applications and modelling in school and university mathematics programs are developed in this context.a

The first book to comprehensively address the theory, kinematic modelling, numerical simulation and applications of vibration assisted machining
Vibration Assisted Machining: Theory, Modelling and Applications covers all key aspects of vibration assisted machining, including cutting kinematics and dynamics, the effect of workpiece materials and wear of cutting tools. It also addresses practical applications for these techniques. Case studies provide detailed guidance on the design, modeling and testing of VAM systems. Experimental machining methods are also included, alongside considerations of state-of-the-art research developments on cutting force modeling and surface texture generation.

This book provides a comprehensive, self-contained and up-to-date treatment of the main topics in the theory of option pricing. The first part of the text starts with discrete-time models of financial markets, including the Cox-Ross-Rubinstein binomial model.

This book discusses the latest progresses and developments on complex systems research and intends to give an exposure to prospective readers about the theoretical and practical aspects of mathematical modelling, numerical simulation and agent-based modelling frameworks. The main purpose of this book is to emphasize a unified approach to complex systems analysis, which goes beyond to examine complicated phenomena of numerous real-life systems; this is done by investigating a huge number of components that interact with each other at different (microscopic and macroscopic) scales; new insights and emergent collective behaviours can evolve from the interactions between individual components and also with their environments.

This book constitutes revised selected papers from the Second International Workshop on Modelling to Program, M2P 2020, held in Lappeenranta, Finland, in March 2020.