Hypercomputation is a relatively new theory of computation that is about
computing methods and devices that transcend the so-called Church-Turing
thesis.
This book deals exclusively with the topic and presents a thorough
description of hypercomputation. It covers all attempts at devising
conceptual hypermachines and all new promising computational paradigms
that may eventually lead to the construction of a hypermachine. Readers
will gain a deeper understanding of what computability is, and why the
Church-Turing thesis poses an arbitrary limit to what can be actually
computed. Hypercomputing is a comparatively novel idea and as such the
book is interesting in its own right. The most important features of the
book, however, are its thorough description of the various attempts of
hypercomputation, from trial-and-error machines to the exploration of
the human mind, if we treat it as a computing device.