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  • Super-Recursive Algorithmsby Mark Burgin

    Springer New York 2006; US$ 164.30

    New discoveries about algorithms are leading scientists beyond the Church-Turing Thesis, which governs the " algorithmic universe " and asserts the conventionality of recursive algorithms. A new paradigm for computation, the super-recursive algorithm, offers promising prospects for algorithms of much greater computing power and efficiency. Super-Recursive... more...

  • Hypernumbers and Extrafunctionsby Mark Burgin

    Springer New York 2012; US$ 52.72

    This rigorous approach to operating with infinite values expands concepts of real and complex numbers to include a new universe of numbers called hypernumbers which includes infinite quantities, and extends classical calculus by introducing extrafunctions. more...

  • Theory of Informationby Mark Burgin

    World Scientific Publishing Company 2009; US$ 115.57

    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... more...

  • Semitopological Vector Spacesby Mark Burgin

    Apple Academic Press 2017; US$ 169.95

    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... more...

  • The Future Information Societyby Wolfgang Hofkirchner; Mark Burgin

    World Scientific Publishing Company 2017; US$ 121.94

    -->. 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... more...

  • Information Studies and the Quest for Transdisciplinarityby Mark Burgin; Wolfgang Hofkirchner

    World Scientific Publishing Company 2017; US$ 136.50

    -->. 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... more...

  • INFORMATION AND COMPUTATIONby Gordana Dodig-Crnkovic; Mark Burgin

    World Scientific Publishing Company 2011; US$ 121.94

    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... more...

  • Information and Complexityby Mark Burgin; Cristian S. Calude

    World Scientific Publishing Company 2016; US$ 111.93

    -->. The book is a collection of papers of experts in the fields of information and complexity. Information is a basic structure of the world, while complexity is a fundamental property of systems and processes. There are intrinsic relations between information and complexity. The research in information theory, the theory of complexity and their... more...

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