Recursive Analysis

Recursive Analysis

by R. L. Goodstein


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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.     

Product Details

ISBN-13: 9780486477510
Publisher: Dover Publications
Publication date: 04/21/2010
Series: Dover Books on Mathematics Series
Pages: 144
Product dimensions: 5.30(w) x 8.40(h) x 0.50(d)

Table of Contents

I Recursive Convergence
II Recursive and Relative Continuity
III Recursive and Relative Differentiability
IV The Relative Integral
V The Elementary Functions
VI Transfinite Ordinals

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