Numerical Infinities Infinitesimals Optimization (17 results)

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  • Language: English

    Published by Springer Nature Switzerland AG, Cham, 2022

    3030936414 / 9783030936419

    Series: Book 43 of 47 - Emergence, Complexity and Computation

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    Hardcover. Condition: new. Hardcover. This book provides a friendly introduction to the paradigm and proposes a broad panorama of killing applications of the Infinity Computer in optimization: radically new numerical algorithms, great theoretical insights, efficient software implementations, and interesting practical case studies. This is the first book presenting to the readers interested in optimization the advantages of a recently introduced supercomputing paradigm that allows to numerically work with different infinities and infinitesimals on the Infinity Computer patented in several countries. One of the editors of the book is the creator of the Infinity Computer, and another editor was the first who has started to use it in optimization. Their results were awarded by numerous scientific prizes. This engaging book opens new horizons for researchers, engineers, professors, and students with interests in supercomputing paradigms, optimization, decision making, game theory, and foundations of mathematics and computerscience.Mathematicians have never been comfortable handling infinities But an entirely new type of mathematics looks set to by-pass the problem Today, Yaroslav Sergeyev, a mathematician at the University of Calabria in Italy solves this problem MIT Technology ReviewThese ideas and future hardware prototypes may be productive in all fields of science where infinite and infinitesimal numbers (derivatives, integrals, series, fractals) are used. A. Adamatzky, Editor-in-Chief of the International Journal of Unconventional Computing.I am sure that the new approach will have a very deep impact both on Mathematics and Computer Science. D. Trigiante, Computational Management Science.Within the grossone framework, it becomes feasible to deal computationally with infinite quantities, in a way that is both new (in the sense that previously intractable problems become amenable to computation) and natural. R. Gangle, G. Caterina, F. Tohme, Soft Computing.The computational features offered by the Infinity Computer allow us to dynamically change the accuracy of representation and floating-point operations during the flow of a computation. When suitably implemented, this possibility turns out to be particularly advantageous when solving ill-conditioned problems. In fact, compared with a standard multi-precision arithmetic, here the accuracy is improved only when needed, thus not affecting that much the overall computational effort. P. Amodio, L. Brugnano, F. Iavernaro & F. Mazzia, Soft Computing This book provides a friendly introduction to the paradigm and proposes a broad panorama of killing applications of the Infinity Computer in optimization: radically new numerical algorithms, great theoretical insights, efficient software implementations, and interesting practical case studies. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.…

  • Language: English

    Published by Springer, 2022

    3030936414 / 9783030936419

    Series: Book 43 of 47 - Emergence, Complexity and Computation

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  • Language: English

    Published by Springer, 2023

    3030936449 / 9783030936440

    Series: Book 43 of 47 - Emergence, Complexity and Computation

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  • Language: English

    Published by Springer, 2023

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    Series: Book 43 of 47 - Emergence, Complexity and Computation

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    Taschenbuch. Condition: Neu. Numerical Infinities and Infinitesimals in Optimization | Yaroslav D. Sergeyev (u. a.) | Taschenbuch | Emergence, Complexity and Computation | xvi | Englisch | 2023 | Springer | EAN 9783030936440 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. …

  • Language: English

    Published by Springer, 2022

    3030936414 / 9783030936419

    Series: Book 43 of 47 - Emergence, Complexity and Computation

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    Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book provides a friendly introduction to the paradigm and proposes a broad panorama of killing applications of the Infinity Computer in optimization: radically new numerical algorithms, great theoretical insights, efficient software implementations, and interesting practical case studies. This is the first book presenting to the readers interested in optimization the advantages of a recently introduced supercomputing paradigm that allows to numerically work with different infinities and infinitesimals on the Infinity Computer patented in several countries. One of the editors of the book is the creator of the Infinity Computer, and another editor was the first who has started to use it in optimization. Their results were awarded by numerous scientific prizes. This engaging book opens new horizons for researchers, engineers, professors, and students with interests in supercomputing paradigms, optimization, decision making, game theory, and foundations of mathematics and computerscience.'Mathematicians have never been comfortable handling infinities. But an entirely new type of mathematics looks set to by-pass the problem. Today, Yaroslav Sergeyev, a mathematician at the University of Calabria in Italy solves this problem. 'MIT Technology Review'These ideas and future hardware prototypes may be productive in all fields of science where infinite and infinitesimal numbers (derivatives, integrals, series, fractals) are used.' A. Adamatzky, Editor-in-Chief of theInternational Journal of Unconventional Computing.'I am sure that the new approach . will have a very deep impact both on Mathematics and Computer Science.' D. Trigiante,Computational Management Science.'Within the grossone framework, it becomes feasible to deal computationally with infinite quantities, in a way that is both new (in the sense that previously intractable problems become amenable to computation) and natural'. R. Gangle, G. Caterina, F. Tohmé,Soft Computing.'The computational features offered by the Infinity Computer allow us to dynamically change the accuracy of representation and floating-point operations during the flow of a computation. When suitably implemented, this possibility turns out to be particularly advantageous when solving ill-conditioned problems. In fact, compared with a standard multi-precision arithmetic, here the accuracy is improved only when needed, thus not affecting that much the overall computational effort.' P. Amodio, L. Brugnano, F. Iavernaro & F. Mazzia,Soft Computing. …

  • Language: English

    Published by Springer, 2023

    3030936449 / 9783030936440

    Series: Book 43 of 47 - Emergence, Complexity and Computation

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    Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book provides a friendly introduction to the paradigm and proposes a broad panorama of killing applications of the Infinity Computer in optimization: radically new numerical algorithms, great theoretical insights, efficient software implementations, and interesting practical case studies. This is the first book presenting to the readers interested in optimization the advantages of a recently introduced supercomputing paradigm that allows to numerically work with different infinities and infinitesimals on the Infinity Computer patented in several countries. One of the editors of the book is the creator of the Infinity Computer, and another editor was the first who has started to use it in optimization. Their results were awarded by numerous scientific prizes. This engaging book opens new horizons for researchers, engineers, professors, and students with interests in supercomputing paradigms, optimization, decision making, game theory, and foundations of mathematics and computerscience.'Mathematicians have never been comfortable handling infinities. But an entirely new type of mathematics looks set to by-pass the problem. Today, Yaroslav Sergeyev, a mathematician at the University of Calabria in Italy solves this problem. 'MIT Technology Review'These ideas and future hardware prototypes may be productive in all fields of science where infinite and infinitesimal numbers (derivatives, integrals, series, fractals) are used.' A. Adamatzky, Editor-in-Chief of theInternational Journal of Unconventional Computing.'I am sure that the new approach . will have a very deep impact both on Mathematics and Computer Science.' D. Trigiante,Computational Management Science.'Within the grossone framework, it becomes feasible to deal computationally with infinite quantities, in a way that is both new (in the sense that previously intractable problems become amenable to computation) and natural'. R. Gangle, G. Caterina, F. Tohmé,Soft Computing.'The computational features offered by the Infinity Computer allow us to dynamically change the accuracy of representation and floating-point operations during the flow of a computation. When suitably implemented, this possibility turns out to be particularly advantageous when solving ill-conditioned problems. In fact, compared with a standard multi-precision arithmetic, here the accuracy is improved only when needed, thus not affecting that much the overall computational effort.' P. Amodio, L. Brugnano, F. Iavernaro & F. Mazzia,Soft Computing. …

  • Language: English

    Published by Springer Nature, 2023

    3030936449 / 9783030936440

    Series: Book 43 of 47 - Emergence, Complexity and Computation

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    Paperback. Condition: Brand New. 381 pages. 9.25x6.10x0.79 inches. In Stock.

  • Language: English

    Published by Springer, 2022

    3030936414 / 9783030936419

    Series: Book 43 of 47 - Emergence, Complexity and Computation

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  • Language: English

    Published by Springer Nature Switzerland AG, Cham, 2022

    3030936414 / 9783030936419

    Series: Book 43 of 47 - Emergence, Complexity and Computation

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    Hardcover. Condition: new. Hardcover. This book provides a friendly introduction to the paradigm and proposes a broad panorama of killing applications of the Infinity Computer in optimization: radically new numerical algorithms, great theoretical insights, efficient software implementations, and interesting practical case studies. This is the first book presenting to the readers interested in optimization the advantages of a recently introduced supercomputing paradigm that allows to numerically work with different infinities and infinitesimals on the Infinity Computer patented in several countries. One of the editors of the book is the creator of the Infinity Computer, and another editor was the first who has started to use it in optimization. Their results were awarded by numerous scientific prizes. This engaging book opens new horizons for researchers, engineers, professors, and students with interests in supercomputing paradigms, optimization, decision making, game theory, and foundations of mathematics and computerscience.Mathematicians have never been comfortable handling infinities But an entirely new type of mathematics looks set to by-pass the problem Today, Yaroslav Sergeyev, a mathematician at the University of Calabria in Italy solves this problem MIT Technology ReviewThese ideas and future hardware prototypes may be productive in all fields of science where infinite and infinitesimal numbers (derivatives, integrals, series, fractals) are used. A. Adamatzky, Editor-in-Chief of the International Journal of Unconventional Computing.I am sure that the new approach will have a very deep impact both on Mathematics and Computer Science. D. Trigiante, Computational Management Science.Within the grossone framework, it becomes feasible to deal computationally with infinite quantities, in a way that is both new (in the sense that previously intractable problems become amenable to computation) and natural. R. Gangle, G. Caterina, F. Tohme, Soft Computing.The computational features offered by the Infinity Computer allow us to dynamically change the accuracy of representation and floating-point operations during the flow of a computation. When suitably implemented, this possibility turns out to be particularly advantageous when solving ill-conditioned problems. In fact, compared with a standard multi-precision arithmetic, here the accuracy is improved only when needed, thus not affecting that much the overall computational effort. P. Amodio, L. Brugnano, F. Iavernaro & F. Mazzia, Soft Computing This book provides a friendly introduction to the paradigm and proposes a broad panorama of killing applications of the Infinity Computer in optimization: radically new numerical algorithms, great theoretical insights, efficient software implementations, and interesting practical case studies. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.…

  • Language: English

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    3030936449 / 9783030936440

    Series: Book 43 of 47 - Emergence, Complexity and Computation

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  • Language: English

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  • Language: English

    Published by Springer International Publishing, 2022

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    Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Presents a new powerful supercomputing paradigm introduced by Yaroslav D. SergeyevGives friendly introduction to the paradigm and proposes a broad panorama of a successful usage of numerical infinitiesCovers software implementations of the .…

  • Language: English

    Published by Springer International Publishing Jul 2023, 2023

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    Series: Book 43 of 47 - Emergence, Complexity and Computation

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    Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book provides a friendly introduction to the paradigm and proposes a broad panorama of killing applications of the Infinity Computer in optimization: radically new numerical algorithms, great theoretical insights, efficient software implementations, and interesting practical case studies. This is the first book presenting to the readers interested in optimization the advantages of a recently introduced supercomputing paradigm that allows to numerically work with different infinities and infinitesimals on the Infinity Computer patented in several countries. One of the editors of the book is the creator of the Infinity Computer, and another editor was the first who has started to use it in optimization. Their results were awarded by numerous scientific prizes. This engaging book opens new horizons for researchers, engineers, professors, and students with interests in supercomputing paradigms, optimization, decision making, game theory, and foundations of mathematics and computerscience.'Mathematicians have never been comfortable handling infinities. But an entirely new type of mathematics looks set to by-pass the problem. Today, Yaroslav Sergeyev, a mathematician at the University of Calabria in Italy solves this problem. 'MIT Technology Review'These ideas and future hardware prototypes may be productive in all fields of science where infinite and infinitesimal numbers (derivatives, integrals, series, fractals) are used.' A. Adamatzky, Editor-in-Chief of theInternational Journal of Unconventional Computing.'I am sure that the new approach . will have a very deep impact both on Mathematics and Computer Science.' D. Trigiante,Computational Management Science.'Within the grossone framework, it becomes feasible to deal computationally with infinite quantities, in a way that is both new (in the sense that previously intractable problems become amenable to computation) and natural'. R. Gangle, G. Caterina, F. Tohmé,Soft Computing.'The computational features offered by the Infinity Computer allow us to dynamically change the accuracy of representation and floating-point operations during the flow of a computation. When suitably implemented, this possibility turns out to be particularly advantageous when solving ill-conditioned problems. In fact, compared with a standard multi-precision arithmetic, here the accuracy is improved only when needed, thus not affecting that much the overall computational effort.' P. Amodio, L. Brugnano, F. Iavernaro & F. Mazzia,Soft Computing 384 pp. Englisch.…

  • Language: English

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    3030936414 / 9783030936419

    Series: Book 43 of 47 - Emergence, Complexity and Computation

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    Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book provides a friendly introduction to the paradigm and proposes a broad panorama of killing applications of the Infinity Computer in optimization: radically new numerical algorithms, great theoretical insights, efficient software implementations, and interesting practical case studies. This is the first book presenting to the readers interested in optimization the advantages of a recently introduced supercomputing paradigm that allows to numerically work with different infinities and infinitesimals on the Infinity Computer patented in several countries. One of the editors of the book is the creator of the Infinity Computer, and another editor was the first who has started to use it in optimization. Their results were awarded by numerous scientific prizes. This engaging book opens new horizons for researchers, engineers, professors, and students with interests in supercomputing paradigms, optimization, decision making, game theory, and foundations of mathematics and computerscience.'Mathematicians have never been comfortable handling infinities. But an entirely new type of mathematics looks set to by-pass the problem. Today, Yaroslav Sergeyev, a mathematician at the University of Calabria in Italy solves this problem. 'MIT Technology Review'These ideas and future hardware prototypes may be productive in all fields of science where infinite and infinitesimal numbers (derivatives, integrals, series, fractals) are used.' A. Adamatzky, Editor-in-Chief of theInternational Journal of Unconventional Computing.'I am sure that the new approach . will have a very deep impact both on Mathematics and Computer Science.' D. Trigiante,Computational Management Science.'Within the grossone framework, it becomes feasible to deal computationally with infinite quantities, in a way that is both new (in the sense that previously intractable problems become amenable to computation) and natural'. R. Gangle, G. Caterina, F. Tohmé,Soft Computing.'The computational features offered by the Infinity Computer allow us to dynamically change the accuracy of representation and floating-point operations during the flow of a computation. When suitably implemented, this possibility turns out to be particularly advantageous when solving ill-conditioned problems. In fact, compared with a standard multi-precision arithmetic, here the accuracy is improved only when needed, thus not affecting that much the overall computational effort.' P. Amodio, L. Brugnano, F. Iavernaro & F. Mazzia,Soft Computing 384 pp. Englisch.…

  • Language: English

    Published by Springer International Publishing, 2023

    3030936449 / 9783030936440

    Series: Book 43 of 47 - Emergence, Complexity and Computation

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    Kartoniert / Broschiert. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Presents a new powerful supercomputing paradigm introduced by Yaroslav D. SergeyevGives friendly introduction to the paradigm and proposes a broad panorama of a successful usage of numerical infinitiesCovers software implementations of the .…

  • Language: English

    Published by Springer, Springer International Publishing Jul 2022, 2022

    3030936414 / 9783030936419

    Series: Book 43 of 47 - Emergence, Complexity and Computation

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    Buch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This book provides a friendly introduction to the paradigm and proposes a broad panorama of killing applications of the Infinity Computer in optimization: radically new numerical algorithms, great theoretical insights, efficient software implementations, and interesting practical case studies. This is the first book presenting to the readers interested in optimization the advantages of a recently introduced supercomputing paradigm that allows to numerically work with different infinities and infinitesimals on the Infinity Computer patented in several countries. One of the editors of the book is the creator of the Infinity Computer, and another editor was the first who has started to use it in optimization. Their results were awarded by numerous scientific prizes. This engaging book opens new horizons for researchers, engineers, professors, and students with interests in supercomputing paradigms, optimization, decision making, game theory, and foundations of mathematics and computerscience.'Mathematicians have never been comfortable handling infinities. But an entirely new type of mathematics looks set to by-pass the problem. Today, Yaroslav Sergeyev, a mathematician at the University of Calabria in Italy solves this problem. 'MIT Technology Review'These ideas and future hardware prototypes may be productive in all fields of science where infinite and infinitesimal numbers (derivatives, integrals, series, fractals) are used.' A. Adamatzky, Editor-in-Chief of the International Journal of Unconventional Computing.'I am sure that the new approach . will have a very deep impact both on Mathematics and Computer Science.' D. Trigiante, Computational Management Science.'Within the grossone framework, it becomes feasible to deal computationally with infinite quantities, in a way that is both new (in the sense that previously intractable problems become amenable to computation) and natural'. R. Gangle, G. Caterina, F. Tohmé, Soft Computing.'The computational features offered by the Infinity Computer allow us to dynamically change the accuracy of representation and floating-point operations during the flow of a computation. When suitably implemented, this possibility turns out to be particularly advantageous when solving ill-conditioned problems. In fact, compared with a standard multi-precision arithmetic, here the accuracy is improved only when needed, thus not affecting that much the overall computational effort.' P. Amodio, L. Brugnano, F. Iavernaro & F. Mazzia, Soft ComputingSpringer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 384 pp. Englisch.…

  • Language: English

    Published by Springer, Springer International Publishing Jul 2023, 2023

    3030936449 / 9783030936440

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    Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This book provides a friendly introduction to the paradigm and proposes a broad panorama of killing applications of the Infinity Computer in optimization: radically new numerical algorithms, great theoretical insights, efficient software implementations, and interesting practical case studies. This is the first book presenting to the readers interested in optimization the advantages of a recently introduced supercomputing paradigm that allows to numerically work with different infinities and infinitesimals on the Infinity Computer patented in several countries. One of the editors of the book is the creator of the Infinity Computer, and another editor was the first who has started to use it in optimization. Their results were awarded by numerous scientific prizes. This engaging book opens new horizons for researchers, engineers, professors, and students with interests in supercomputing paradigms, optimization, decision making, game theory, and foundations of mathematics and computerscience.'Mathematicians have never been comfortable handling infinities. But an entirely new type of mathematics looks set to by-pass the problem. Today, Yaroslav Sergeyev, a mathematician at the University of Calabria in Italy solves this problem. 'MIT Technology Review'These ideas and future hardware prototypes may be productive in all fields of science where infinite and infinitesimal numbers (derivatives, integrals, series, fractals) are used.' A. Adamatzky, Editor-in-Chief of the International Journal of Unconventional Computing.'I am sure that the new approach . will have a very deep impact both on Mathematics and Computer Science.' D. Trigiante, Computational Management Science.'Within the grossone framework, it becomes feasible to deal computationally with infinite quantities, in a way that is both new (in the sense that previously intractable problems become amenable to computation) and natural'. R. Gangle, G. Caterina, F. Tohmé, Soft Computing.'The computational features offered by the Infinity Computer allow us to dynamically change the accuracy of representation and floating-point operations during the flow of a computation. When suitably implemented, this possibility turns out to be particularly advantageous when solving ill-conditioned problems. In fact, compared with a standard multi-precision arithmetic, here the accuracy is improved only when needed, thus not affecting that much the overall computational effort.' P. Amodio, L. Brugnano, F. Iavernaro & F. Mazzia, Soft ComputingSpringer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 384 pp. Englisch.…