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 Perspectives in Logic series, Pour-El and
Richards present the first graduate-level treatment of computable
analysis within the tradition of classical mathematical reasoning.
The book focuses on the computability or noncomputability of
standard processes in analysis and physics. Topics include
classical analysis, Hilbert and Banach spaces, bounded and
unbounded linear operators, eigenvalues, eigenvectors, and
equations of mathematical physics. The work is self-contained, and
although it is intended primarily for logicians and analysts, it
should also be of interest to researchers and graduate students in
physics and computer science.
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