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Logical Number Theory I - An Introduction (Paperback, Softcover reprint of the original 1st ed. 1991)
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Logical Number Theory I - An Introduction (Paperback, Softcover reprint of the original 1st ed. 1991)
Series: Universitext
Expected to ship within 10 - 15 working days
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Number theory as studied by the logician is the subject matter of
the book. This first volume can stand on its own as a somewhat
unorthodox introduction to mathematical logic for undergraduates,
dealing with the usual introductory material: recursion theory,
first-order logic, completeness, incompleteness, and
undecidability. In addition, its second chapter contains the most
complete logical discussion of Diophantine Decision Problems
available anywhere, taking the reader right up to the frontiers of
research (yet remaining accessible to the undergraduate). The first
and third chapters also offer greater depth and breadth in
logico-arithmetical matters than can be found in existing logic
texts. Each chapter contains numerous exercises, historical and
other comments aimed at developing the student's perspective on the
subject, and a partially annotated bibliography.
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