Mathematical Modeling In Cultural Heritage

This work collects the contributions presented at the INdAM Workshop “Mathematical modeling and Analysis of degradation and restoration in Cultural Heritage – MACH2019” held in Rome in March 2019. The book is focused on mathematical modeling and simulation techniques with the aim of improving the current strategies of conservation and restoration in cultural heritage, sharing different experiences and approaches. The main topics are: corrosion and sulphation of materials, damage and fractures, stress in thermomechanical systems, contact and adhesion problems, phase transitions and reaction-diffusion models, restoration techniques, additive manufacturing. The final goal is to build a permanent bridge between the experts in cultural heritage and the mathematical community. The work is addressed to experts in cultural heritage and to mathematicians.

This book collects contributions presented at the INdAM Workshop "Mathematical modeling and Analysis of degradation and restoration in Cultural Heritage–MACH2021", held in Rome, Italy in September 2021. The book is focused on mathematical modeling and simulation techniques with the aim of improving the current strategies of conservation and restoration in cultural heritage, sharing different experiences and approaches. The main topics are corrosion and sulphation of materials, damage and fractures, stress in thermomechanical systems, contact and adhesion problems, and phase transitions.

The sheer computing power of modern information technology is changing the face of research not just in science, technology and mathematics, but in humanities and cultural studies too. Recent decades have seen a major shift both in attitudes and deployment of computers, which are now vital and highly effective tools in disciplines where they were once viewed as elaborate typewriters. This revealing volume details the vast array of computing applications that researchers in the humanities now have recourse to, including the dissemination of scholarly information through virtual ‘co-laboratories’, data retrieval, and the modeling of complex processes that contribute to our natural and cultural heritage. One key area covered in this book is the versatility of computers in presenting images and graphics, which is transforming the analysis of data sets and archaeological reconstructions alike. The papers published here are grouped into three broad categories that cover mathematical and computational methods, research developments in information systems, and a detailed portrayal of ongoing work on documenting, restoring and presenting cultural monuments including the temples in Pompeii and the Banteay Chhmar temples of the Angkorian period in present-day Cambodia. Originally presented at a research workshop in Heidelberg, Germany, they reflect the rapidly developing identity of computational humanities as an interdisciplinary field in its own right, as well as demonstrating the breadth of perspectives in this young and vibrant research area.

The mathematical modelling movement in mathematics education at school and university level has been influencing curricula for about 25 years. Lecturers will find material to enhance their teaching and extracurricular activities and educators will find innovative ideas to inform their course design and focus their research, while students will find interesting problems to explore. Helps lecturers enhance their teaching and extracurricular activities Provides educators with innovative ideas to inform their course design and focus their research Students will find interesting problems to explore

This edition presents the most prominent topics and applications of digital image processing, analysis, and computer graphics in the field of cultural heritage preservation. The text assumes prior knowledge of digital image processing and computer graphics fundamentals. Each chapter contains a table of contents, illustrations, and figures that elucidate the presented concepts in detail, as well as a chapter summary and a bibliography for further reading. Well-known experts cover a wide range of topics and related applications, including spectral imaging, automated restoration, computational reconstruction, digital reproduction, and 3D models.

This book examines the unique socialist-modernist architecture built in the twentieth century in Central and Eastern Europe as a source of heritage and of existing and potential value for the present and future generations. Due to the historical context in which it was created, such architecture remains ambiguous. On the one hand, the wider public associates it with the legacy of the unpleasant period of the real socialist economic regime. Yet, on the other hand, it is also a manifestation of social modernization and the promotion of a significant proportion of the population. This book focuses particularly on concrete heritage, a legacy of modernist architecture in Central and Eastern Europe, and it was this material that enabled their rebuilding after World War II and modernization during the following decades. The authors search for the value of modernist architecture and using case studies from Poland, Bulgaria, Northern Macedonia, Lithuania and Slovenia verify to what extent this heritage is embedded in the local socio-economic milieu and becomes a basis for creating new values. They argue that the challenge is to change the ways we think about heritage, from looking at it from the point of view of a single monument to thinking in terms of a place with its own character and identity that builds its relation to history and its embeddedness in the local space. Furthermore, they propose that the preservation of existing concrete structures and adapting them to modern needs is of great importance for sustainability. With increasing awareness of the issue of preserving post-war architectural heritage and the strategies of dissonant heritage management, this multidisciplinary study will be of interest to architecture historians, conservators, heritage economists, urban planners and architects.

This book, Applications of Operational Research and Mathematical Models in Management, includes all the papers published in the Mathematics Special Issue with the same title. All the published papers are of high quality and were subjected to rigorous peer review. Mathematics is included in the Science Citation Index (Web of Science), and its current Impact Factor is 1.747. The papers in this book deal with on R&D performance models, methods for ranking the perspectives and indicators of a balance scorecard, robust optimization model applications, integrated production and distribution problem solving, demand functions, supply chain games, probabilistic optimization and profit research, coordinated techniques for order preference, robustness approaches in bank capital optimization, and hybrid methods for tourism demand forecasting. All the papers included contribute to the development of research.

The integration of science with art is a complex process of analysis and the knowledge and understanding of the need to save and protect works of art as well as preserve and restore cultural heritage. This is generally provoked by the living necessity, profoundly human, to leave our inheritance to new generations, as intact as is possible, the testimonies of the past.The issues approached interfere with artistic criticism, for example, biological and physico-chemical analyses, and intelligent mathematical modeling systems such as Marker-less Augmented Reality, 3D Reconstruction, intelligent combinations of digital image analysis functions to recognize and estimate the possible evolution of color and shape to help experts make the best decisions about authenticating and preserving-restoring art objects.Advanced technical devices such as digital databases and other tools and materials can allow for the eradication of offenses such as false art and falsification.

The purpose of the edited volume is to provide an international lens to examine evidence-based investigations in Ethno-STEM research: Ethno-science, Ethno-technology, Ethno-engineering, and Ethno-mathematics. These themes grew out of multi-national, multi-institutional and multi-disciplinary efforts to preserve as well as epitomize the role that Indigenous Knowledge Systems (IKS) play in cognitive development and its vital contributions to successful and meaningful learning in conventional and non-conventional contexts. Principled by the Embodied, Situated, and Distributed Cognition (ESDC), this innovative book will provide evidence supporting the embeddedness of a thinking-in-acting model as a fundamental framework that explains and supports students’ acquisition of scientific knowledge. So often ‘western’ science curricula are experienced as irrelevant, since it does not take cognizance of the daily experiences and world in which the learner finds himself. This book takes a socio-cultural look at IKS and applies research in neuroscience to make a case its incorporation in the STEM (Science, Technology, Engineering and Mathematics) classroom. We use the Embodied Situated Distributed Cognition (ESDC) Model as conceptual framework in this book. Although the value of IKS is often acknowledged in curriculum policy documents, teachers are most often not trained in incorporating IK in the classroom. Teachers’ lack of the necessary pedagogical content knowledge (PCK) in effectively incorporating IK in their classrooms is a tremendous problem internationally. Another problem is that IK is often perceived as “pseudo-science”, and scholars advocating for the incorporation of IK in the school curriculum often do not contextualize their arguments within a convincing theoretical and conceptual framework.