* The first exposition on super-recursive algorithms, systematizing all main classes and providing an accessible, focused examination of the theory and its ramifications
* Demonstrates how these algorithms are more appropriate as mathematical models for modern computers and how they present a better framework for computing methods
* Develops a new practically-oriented perspective on the theory of algorithms, computation, and automata, as a whole
* The first exposition on super-recursive algorithms, systematizing all main classes and providing an accessible, focused examination of the theory...
This unique volume presents a new approach — the general theory of information — to scientific understanding of information phenomena. Based on a thorough analysis of information processes in nature, technology, and society, as well as on the main directions in information theory, this theory synthesizes existing directions into a unified system. The book explains how this theory opens new kinds of possibilities for information technology, information sciences, computer science, knowledge engineering, psychology, linguistics, social sciences, and education.The book also gives a...
This unique volume presents a new approach — the general theory of information — to scientific understanding of information phenomena. B...
Information is a basic structure of the world, while computation is a process of the dynamic change of information. This book provides a cutting-edge view of world's leading authorities in fields where information and computation play a central role. It sketches the contours of the future landscape for the development of our understanding of information and computation, their mutual relationship and the role in cognition, informatics, biology, artificial intelligence, and information technology. This book is an utterly enjoyable and engaging read which gives readers an opportunity to...
Information is a basic structure of the world, while computation is a process of the dynamic change of information. This book provides a cutting-edge ...
* The first exposition on super-recursive algorithms, systematizing all main classes and providing an accessible, focused examination of the theory and its ramifications
* Demonstrates how these algorithms are more appropriate as mathematical models for modern computers and how they present a better framework for computing methods
* Develops a new practically-oriented perspective on the theory of algorithms, computation, and automata, as a whole
* The first exposition on super-recursive algorithms, systematizing all main classes and providing an accessible, focused examination of the theory...
"Hypernumbers and Extrafunctions" presents a rigorous mathematical approach to operate with infinite values. First, concepts of real and complex numbers are expanded to include a new universe of numbers called hypernumbers which includes infinite quantities. This brief extends classical calculus based on real functions by introducing extrafunctions, which generalize not only the concept of a conventional function but also the concept of a distribution. Extrafucntions have been also efficiently used for a rigorous mathematical definition of theFeynman path integral, as well as for...
"Hypernumbers and Extrafunctions" presents a rigorous mathematical approach to operate with infinite values. First, concepts of real and complex nu...
This book aims to synthesize different directions in knowledge studies into a unified theory of knowledge and knowledge processes. It explicates important relations between knowledge and information. It provides the readers with understanding of the essence and structure of knowledge, explicating operations and process that are based on knowledge and vital for society. The book also highlights how the theory of knowledge paves the way for more advanced design and utilization of computers and networks.
This book aims to synthesize different directions in knowledge studies into a unified theory of knowledge and knowledge processes. It explicates impor...
This book is the second volume of a two-volume edition based on the International Society for Information Studies Summit Vienna 2015 on "The Information Society at the Crossroads. Response and Responsibility of the Sciences of Information" (see summit.is4is.org).The book gives an up-to-date multiaspect exposition of contemporary studies in the field of information and related areas. It presents most recent achievements, ideas and opinions of leading researchers in this domain reflecting their quest for advancing information science and technology. With the goal of building a better society,...
This book is the second volume of a two-volume edition based on the International Society for Information Studies Summit Vienna 2015 on "The Informati...
This book is the first volume of a two-volume edition based on the International Society for Information Studies Summit Vienna 2015 on "The Information Society at the Crossroads. Response and Responsibility of the Sciences of Information" (see summit.is4is.org).The book represents a trans-disciplinary endeavor of the leading experts in the field of information studies posing the question for a better society, in which social and technological innovations help make information key to the flourishing of humanity and dispense with the bleak view of the dark side of information society.It is...
This book is the first volume of a two-volume edition based on the International Society for Information Studies Summit Vienna 2015 on "The Informatio...
This new volume shows how it is possible to further develop and essentially extend the theory of operators in infinite-dimensional vector spaces, which plays an important role in mathematics, physics, information theory, and control theory. The book describes new mathematical structures, such as hypernorms, hyperseminorms, hypermetrics, semitopological vector spaces, hypernormed vector spaces, and hyperseminormed vector spaces. It develops mathematical tools for the further development of functional analysis and broadening of its applications.
Exploration of semitopological...
This new volume shows how it is possible to further develop and essentially extend the theory of operators in infinite-dimensional vector spaces, w...
