Hypercomputation

Computing Beyond the Church-Turing Barrier

Authors: Syropoulos, Apostolos

  • Provides a comprehensive examination of the hypercomputation field
  • Features an in-depth presentation of the current status of computation and its potential
  • Offers a philosophical and pragmatic approach to the limits of computation and why the Church-Turing thesis is an arbitrary limit
  • Describes the various attempts at hypercomputation, including trial-and-error machines and the human mind treated as a device with computational abilities
  • Includes new, promising computing paradigms
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eBook $84.99
price for USA (gross)
  • ISBN 978-0-387-49970-3
  • Digitally watermarked, DRM-free
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  • Immediate eBook download after purchase
Hardcover $109.00
price for USA
  • ISBN 978-0-387-30886-9
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  • Online orders shipping within 2-3 days.
Softcover $109.00
price for USA
  • ISBN 978-1-4419-4040-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

Hypercomputation is a relatively new theory of computation which treats computing methods and devices that transcend the Church-Turing thesis. This book will provide a thorough description of the field of hypercomputation, covering all attempts at devising conceptual hypermachines and all new promising computational paradigms that may eventually lead to the construction of a hypermachine.

Readers will reach a deeper understanding of what computability is and why the Church-Turing thesis poses an arbitrary limit to what actually can be computed. Hypercomputing is quite a novel idea, and therefore the book is interesting to the reader in its own right. The most significant features of the book, however, will be the descriptions of the various attempts of hypercomputation: from trial-and-error machines to the exploration of the human mind treated as a device with computational abilities. Hypercomputation: Computing Beyond the Church-Turing Barrier is fairly self-contained but requires a solid background in mathematics (calculus, discrete mathematics, algebra, and topology).

Topics and Features:

* Comprehensive examination of the hypercomputation field

* In-depth presentation of the current status of computation and its potential

* Philosophical and pragmatic approach to the limits of computation

* The human mind treated as a device with computational abilities, and its possible implications

* New, promising computing paradigms

This state-of-the-art monograph will be of interest to those interested in exploring this exciting new branch of Computer Science. It will be of particular interest to academics, engineers, and researchers in Computer Science, Mathematics and Physics.

About the authors

Apostolos Syropoulos holds a Diploma in Physics from the University of Ioannina, Greece, a M.Sc. in Computer Science from the University of Göteborg, Göteborg. Sweden, and a Ph.D. in Theoretical Computer Science from the Democritus University of Thrace, Xanthi, Greece. He has published papers in the areas of categorical semantics, natural computing, programming language theory, Web-oriented technologies, and digital typography.

In addition, the prospective author has presented his work in the workshop of the European COST Action Group 16 (Multivalued Logics) that was held in Vienna, Austria in 1998. He is also the team leader of the Greek Molecular Computing Group, which is a member of the European Molecular Computing Consortium, whose director is Professor Grzegorz Rezenberg. He was also member of the Democritus University team on Industrial Mathematics of the European Initiative on Mathematics in Industry. Last, but not least, it is worth to mention that recently the prospective author has published a book on the Perl programming language (in Greek).

Reviews

From the reviews:

"During the last two decades hypercomputation has attracted more and more interest within computer science. … The present book gives an introduction to several such approaches. … this is the first attempt to collect such material in book form. … For somebody interested in hypercomputation the book is a good start in order to get an idea about different questions and approaches relevant in that area." (Klaus Meer, Mathematical Reviews, Issue 2009 j)

“To anyone unfamiliar with the notion of hypercomputation picking up this book, it will be an intriguing and informative volume. … It will be very informative for someone coming from outside, say at graduate or advanced undergraduate, level who wants to find out what all the fuss of hypercomputation is about.”­­­ (P. D. Welch, Studia Logica, Vol. 96, 2010)


Table of contents (9 chapters)

Buy this book

eBook $84.99
price for USA (gross)
  • ISBN 978-0-387-49970-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for USA
  • ISBN 978-0-387-30886-9
  • Free shipping for individuals worldwide
  • Online orders shipping within 2-3 days.
Softcover $109.00
price for USA
  • ISBN 978-1-4419-4040-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.

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Bibliographic Information

Bibliographic Information
Book Title
Hypercomputation
Book Subtitle
Computing Beyond the Church-Turing Barrier
Authors
Copyright
2008
Publisher
Springer US
Copyright Holder
Springer-Verlag US
eBook ISBN
978-0-387-49970-3
DOI
10.1007/978-0-387-49970-3
Hardcover ISBN
978-0-387-30886-9
Softcover ISBN
978-1-4419-4040-7
Edition Number
1
Number of Pages
X, 260
Number of Illustrations and Tables
19 b/w illustrations
Topics