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9781441930606

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From the reviews: This book provides an examination of the theory of super-recursive algorithms and its ramifications for the computer industry, networks, artificial intelligence, embedded systems, and the Internet. ! The exposition of the book is motivated by numerous examples and illustrations. It serves to develop a new paradigm for complex, high-performance computing based on both partial recursive functions and more inclusive recursive algorithms. (Vilmar Trevisan, Zentralblatt MATH, Vol. 1070, 2005) This important, exciting book synthesizes all ! isolated 'heresies' from the journal literature into a new, lively, coherent discipline. Beyond obvious interest to mathematicians and computer scientists, the book should attract physicists and philosophers. ! Chapters here on recursive and even subrecursive algorithms provide background and context sufficient to render this book reasonably self-contained. Summing Up: Highly recommended. General readers; lower-division undergraduates through professionals. (D. V. Feldman, CHOICE, Vol. 42 (11), July, 2005) This new book by Mark Burgin, Super-recursive algorithms, covers a wide variety of computational models. ! I can say that reading the book gives pleasure to the reader interested in understanding what is going on in the so-called hypercomputation community. ! the book might also be interesting from the point of view of the philosophy of computational science. ! The book provides valuable information ! . (Jose Felix Costa, Mathematical Reviews, Issue 2008 f)

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  Burgin published extensively on this new theoretical topic. Based on UCLA lectures, articles, invited ACM Communications Survey article (11/01), and invited High Performance Computing Symposium presentation.

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