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Fractals and Fractional Calculus in Continuum Mechanics

Posted By: AvaxGenius
Date: 18 Sep 2023 04:10:32
Fractals and Fractional Calculus in Continuum Mechanics

Fractals and Fractional Calculus in Continuum Mechanics by A. Carpinteri, F. Mainardi
English | PDF | 1997 | 352 Pages | ISBN : 321182913X | 33.9 MB

The book is characterized by the illustration of cases of fractal, self-similar and multi-scale structures taken from the mechanics of solid and porous materials, which have a technical interest. In addition, an accessible and self-consistent treatment of the mathematical technique of fractional calculus is provided, avoiding useless complications.
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New Computational Paradigms: Changing Conceptions of What is Computable

Posted By: AvaxGenius
Date: 13 Dec 2021 07:43:01
New Computational Paradigms: Changing Conceptions of What is Computable

New Computational Paradigms: Changing Conceptions of What is Computable by S. Barry Cooper
English | PDF | 2008 | 555 Pages | ISBN : 0387360336 | 5.2 MB

In recent years, classical computability has expanded beyond its original scope to address issues related to computability and complexity in algebra, analysis, and physics. The deep interconnection between "computation" and "proof" has originated much of the most significant work in constructive mathematics and mathematical logic of the last 70 years. Moreover, the increasingly compelling necessity to deal with computability in the real world (such as computing on continuous data, biological computing, and physical models) has brought focus to new paradigms of computation that are based on biological and physical models. These models address questions of efficiency in a radically new way and even threaten to move the so-called Turing barrier, i.e. the line between the decidable and the un-decidable.
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