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  • Super-Recursive Algorithmsby Mark Burgin

    Springer New York 2006; US$ 163.44

    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$ 52.45

    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...

  • 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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