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This classic introduction to the main areas of mathematical logic
provides the basis for a first graduate course in the subject. It
embodies the viewpoint that mathematical logic is not a collection
of vaguely related results, but a coherent method of attacking some
of the most interesting problems, which face the mathematician. The
author presents the basic concepts in an unusually clear and
accessible fashion, concentrating on what he views as the central
topics of mathematical logic: proof theory, model theory, recursion
theory, axiomatic number theory, and set theory. There are many
exercises, and they provide the outline of what amounts to a second
book that goes into all topics in more depth. This book has played
a role in the education of many mature and accomplished
researchers.
This volume, which ten years ago appeared as the first in the
acclaimed series Lecture Notes in Logic, serves as an introduction
to recursion theory. The fundamental concept of recursion makes the
idea of computability accessible to a mathematical analysis, thus
forming one of the pillars on which modern computer science rests.
The clarity and focus of this text have established it as a classic
instrument for teaching and self-study that prepares its readers
for the study of advanced monographs and the current literature on
recursion theory.
This volume, which ten years ago appeared as the first in the
acclaimed series Lecture Notes in Logic, serves as an introduction
to recursion theory. The fundamental concept of recursion makes the
idea of computability accessible to a mathematical analysis, thus
forming one of the pillars on which modern computer science rests.
The clarity and focus of this text have established it as a classic
instrument for teaching and self-study that prepares its readers
for the study of advanced monographs and the current literature on
recursion theory.
Since their inception, the Perspectives in Logic and Lecture Notes
in Logic series have published seminal works by leading logicians.
Many of the original books in the series have been unavailable for
years, but they are now in print once again. In this volume, the
first publication in the Lecture Notes in Logic series, Shoenfield
gives a clear and focused introduction to recursion theory. The
fundamental concept of recursion makes the idea of computability
accessible to a mathematical analysis, thus forming one of the
pillars on which modern computer science rests. This introduction
is an ideal instrument for teaching and self-study that prepares
the reader for the study of advanced monographs and the current
literature on recursion theory.
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