Recursive analysis develops natural number computations into a
framework appropriate for real numbers. This text is based upon
primary recursive arithmetic and presents a unique combination of
classical analysis and intuitional analysis. Written by a master in
the field, it is suitable for graduate students of mathematics and
computer science and can be read without a detailed knowledge of
recursive arithmetic.
Introductory chapters on recursive convergence and recursive and
relative continuity are succeeded by explorations of recursive and
relative differentiability, the relative integral, and the
elementary functions. A final chapter examines transfinite
ordinals, and the text concludes with a helpful appendix of topics
related to recursive irrationality and transcendence.
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