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1. |
Record Nr. |
UNINA9910153615103321 |
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Autore |
Beery Janet |
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Titolo |
Thomas Harriot's Doctrine of Triangular Numbers: the 'Magisteria Magna' [[electronic resource] /] / Janet Beery, Jacqueline Stedall |
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Pubbl/distr/stampa |
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Zuerich, Switzerland, : European Mathematical Society Publishing House, 2008 |
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ISBN |
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Descrizione fisica |
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1 online resource (144 pages) |
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Collana |
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Heritage of European Mathematics (HEM) ; , 2523-5214 |
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Classificazione |
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Soggetti |
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History of mathematics |
History and biography |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Sommario/riassunto |
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Thomas Harriot (c. 1560-1621) was a mathematician and astronomer, known not only for his work in algebra and geometry, but also for his wide-ranging interests in ballistics, navigation, and optics (he discovered the sine law of refraction now known as Snell's law). By about 1614, Harriot had developed finite difference interpolation methods for navigational tables. In 1618 (or slightly later) he composed a treatise entitled 'De numeris triangularibus et inde de progressionibus arithmeticis, Magisteria magna', in which he derived symbolic interpolation formulae and showed how to use them. This treatise was never published and is here reproduced for the first time. Commentary has been added to help the reader to follow Harriot's beautiful but almost completely nonverbal presentation. The introductory essay preceding the treatise gives an overview of the contents of the 'Magisteria' and describes its influence on Harriot's contemporaries and successors over the next sixty years. Harriot's method was not superseded until Newton, apparently independently, made a similar discovery in the 1660s. The ideas in the 'Magisteria' were spread primarily through personal communication and unpublished manuscripts, and so, quite apart from their intrinsic mathematical interest, their survival in England during the seventeenth century provides an important case study in the dissemination of |
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mathematics through informal networks of friends and acquaintances. |
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2. |
Record Nr. |
UNINA9911011656903321 |
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Autore |
Hehenberger Peter |
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Titolo |
Mechatronic Futures : Further Challenges and Solutions for Mechatronic Systems and their Designers / / edited by Peter Hehenberger, David Bradley |
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Pubbl/distr/stampa |
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Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025 |
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ISBN |
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Edizione |
[2nd ed. 2025.] |
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Descrizione fisica |
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1 online resource (497 pages) |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Automatic control |
Robotics |
Automation |
Engineering design |
Mathematics - Data processing |
Internet of things |
Computer networks - Security measures |
Artificial intelligence |
Control, Robotics, Automation |
Engineering Design |
Computational Science and Engineering |
Internet of Things |
Mobile and Network Security |
Artificial Intelligence |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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System Integration -- Design -- Demographics -- Human -- Machine Interaction -- Ethics -- Manufacturing Technology -- Sustainability -- Education -- Future Application Domains. |
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Sommario/riassunto |
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This book, a new and revised edition of “Mechatronic Futures”, sets out |
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to identify and discuss the key issues likely to impact on the design and implementation of future mechatronic systems. In doing so, it offers a comprehensive overview of the challenges, risks and options that define the future of mechatronics and provides insights into how these issues are currently being assessed and managed. The book aims to support mechatronics practitioners in identifying key areas in design, modelling and technology and to place these in the wider context of concepts such as cyber-physical systems, Digital Twins and the Internet of Things and alongside issues such as privacy, security and sustainability. For educators, it considers the potential effects of developments in these areas on mechatronic course design, and ways of integrating these. Written by experts in the field, it explores topics including systems integration, design, modelling, privacy, ethics, lifecycle monitoring, sustainability and other potential future application domains. This new edition contains many new chapters as well as updated and revised chapters from the previous edition, and takes into account how recent significant developments in artificial intelligence and cyber-security are changing how current mechatronic systems are designed, manufactured, operated, used and potentially recycled. Highlighting novel innovations and directions, the book is intended for academics, engineers, managers, researchers and students working in the field of mechatronics, particularly those developing new concepts, methods and ideas. |
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