  The purpose of this thesis is to make an analysis of the concept of
Hypercomputation and of some hypermachines. This thesis is separated in three
main parts. We start in the first chapter with an analysis of the concept of
Classical Computability with the Turing Machine and the Church-Turing thesis as
a main reference and afterwards, in the second chapter, we continue with an
analysis of hypercomputation and some hypermachines. Attention is given to the
possible physical realization of these machines and their usefulness. In the
third chapter a superficial introduction to Quantum Computing is made and a
brief analysis to a quantum hypercomputational model, Tien D. Kieu's Adiabatic
Quantum Computing.
