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Mathematical Modeling in Cultural Heritage

Author: Elena Bonetti

Publisher: Springer Nature

Published: 2021-02-03

Total Pages: 170

ISBN-13: 3030580776

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.

Mathematical Modeling in Cultural Heritage

Author: Gabriella Bretti

Publisher: Springer Nature

Published: 2023-08-07

Total Pages: 230

ISBN-13: 9819936799

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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.

Scientific Computing and Cultural Heritage

Author: Hans Georg Bock

Publisher: Springer Science & Business Media

Published: 2012-10-23

Total Pages: 282

ISBN-13: 364228020X

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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.

Visual Computing for Cultural Heritage

Author: Fotis Liarokapis

Publisher: Springer Nature

Published: 2020-04-07

Total Pages: 444

ISBN-13: 3030371913

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This book provides insights into the state of the art of digital cultural heritage using computer graphics, image processing, computer vision, visualization and reconstruction, virtual and augmented reality and serious games. It aims at covering the emergent approaches for digitization and preservation of Cultural Heritage, both in its tangible and intangible facets. Advancements in Digital Cultural Heritage research have been abundant in recent years covering a wide assortment of topics, ranging from visual data acquisition, pre-processing, classification, analysis and synthesis, 3D modelling and reconstruction, semantics and symbolic representation, metadata description, repository and archiving, to new forms of interactive and personalized presentation, visualization and immersive experience provision via advanced computer graphics, interactive virtual and augmented environments, serious games and digital storytelling. Different aspects pertaining to visual computing with regard to tangible (books, images, paintings, manuscripts, uniforms, maps, artefacts, archaeological sites, monuments) and intangible (e.g. dance and performing arts, folklore, theatrical performances) cultural heritage preservation, documentation, protection and promotion are covered, including rendering and procedural modelling of cultural heritage assets, keyword spotting in old documents, drone mapping and airborne photogrammetry, underwater recording and reconstruction, gamification, visitor engagement, animated storytelling, analysis of choreographic patterns, and many more. The book brings together and targets researchers from the domains of computing, engineering, archaeology and the arts, and aims at underscoring the potential for cross-fertilization and collaboration among these communities.

Transdisciplinary Multispectral Modeling and Cooperation for the Preservation of Cultural Heritage

Author: Antonia Moropoulou

Publisher: Springer Nature

Published: 2023-09-02

Total Pages: 448

ISBN-13: 3031423003

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This volume constitutes selected and revised papers presented during the Third International Conference on Trandisciplinary Multispectral Modelling and Cooperation for the Preservation of Cultural Heritage, TMM_CH 2023, held in Athens, Greece, in March 2023. The 17 full papers and 17 short papers presented in ths volume were thoroughly reviewed and selected from 416 submissions. The papers are organized in topical sections on scientific innovations in the diagnosis and preservation of cultural heritage; digital heritage a holistic approach; preservation, reuse and reveal of cultural heritage through sustainable bidding and land management, rural and urban development to recapture the world in crisis through culture.

Modeling Students' Mathematical Modeling Competencies

Author: Richard Lesh

Publisher: Springer Science & Business Media

Published: 2013-03-17

Total Pages: 635

ISBN-13: 9400762712

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Modeling Students’ Mathematical Modeling Competencies offers welcome clarity and focus to the international research and professional community in mathematics, science, and engineering education, as well as those involved in the sciences of teaching and learning these subjects.

Zoomland

Author: Florentina Armaselu

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2023-12-31

Total Pages: 490

ISBN-13: 3111317773

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Despite a variety of theoretical and practical undertakings, there is no coherent understanding of the concept of scale in digital history and humanities, and its potential is largely unexplored. A clearer picture of the whole spectrum is needed, from large to small, distant to close, global to local, general to specific, macro to micro, and the in-between levels. The book addresses these issues and sketches out the territory of Zoomland, at scale. Four regions and sixteen chapters are conceptually and symbolically depicted through three perspectives: bird's eye, overhead, and ground view. The variable-scale representation allows for exploratory paths covering areas such as: theoretical and applicative reflections on scale combining a digital dimension with research in history, media studies, cultural heritage, literature, text analysis, and map modelling; creative use of scale in new digital forms of analysis, data organisation, interfaces, and argumentative or artistic expressions. Zoomland provides a systematic discussion on the epistemological dimensions, hermeneutic methods, empirical tools, and aesthetic logic pertaining to scale and its innovative possibilities residing in humanities-based approaches and digital technologies.

Mathematical Modelling Programs in Latin America

Author: Milton Rosa

Publisher: Springer Nature

Published: 2022-07-06

Total Pages: 413

ISBN-13: 3031042719

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This book is about the unique, sophisticated, and rigorous study of mathematics in Latin America developed over centuries of cultural exchange between Europe, North, and South America. More specifically, the book explores the tradition of mathematical modelling, introduced a century ago. This modelling was adapted to assist members of distinct communities to draw information about their own realities through the elaboration of representations, which generate mathematical knowledge that deals with creativity and invention. The book provides empirical evidence that a category of mathematical modelling developed in Latin America assesses the horizontal and reciprocal relations between mathematics (school/non-school contexts) and the real world. These relations provide an epistemological and ontological change, where mathematical knowledge of the others is recognized on a horizontal plane. Further, they oblige mathematics teachers and students to understand as a community of knowledge that builds their own mathematical categories of their environment governed by the reciprocal relationships between academic knowledge and functional knowledge. The dimensions of the relationships make up a frame of reference that guides educational change in mathematics. The book presents an inquiry-based approach of three Latin American modelling programs: ethnomodelling, transversality of knowledge, and reasoned decision-making. Each one, with its respective theoretical and methodological foundations related to ethnomathematics and mathematical modelling, socioepistemology, and the attribution of meaning to learning. Undoubtedly, the three mathematical modelling programs, independently, provide educational gains, each with its levels of specificity and loyal to its philosophical, theoretical, and methodological principles. However, the book places them together, organized by axes, to define a corpus of mathematical knowledge that envisions profound educational change through the development of different approaches of mathematical modelling. The authors of the 18 chapters in this book, who represent the diversity of Latin America, are from eight countries: Argentina, Brazil, Chile, Colombia, Costa Rica, Cuba, Ecuador, Honduras, and Mexico. They were invited to share their ideas, perspectives, and discuss investigations that represent a rich sample of three Latin American perspectives on mathematical modelling.

Mathematical Applications in Continuum and Structural Mechanics

Author: Francesco Marmo

Publisher: Springer Nature

Published: 2021-11-30

Total Pages: 275

ISBN-13: 3030427072

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This book presents a range of research projects focusing on innovative numerical and modeling strategies for the nonlinear analysis of structures and metamaterials. The topics covered concern various analysis approaches based on classical finite element solutions, structural optimization, and analytical solutions in order to present a comprehensive overview of the latest scientific advances. Although based on pioneering research, the contributions are focused on immediate and direct application in practice, providing valuable tools for researchers and practicing professionals alike.