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Recursive Analysis (Dover Books on Mathematics)

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Recursive Analysis (Dover Books on Mathematics) Cover

 

Synopses & Reviews

Publisher Comments:

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.     

Synopsis:

This text by a master in the field covers recursive convergence, recursive and relative continuity, recursive and relative differentiability, the relative integral, elementary functions, and transfinite ordinals. 1961 edition.

Synopsis:

This graduate-level text by a master in the field builds a function theory of the rational field that combines aspects of classical and intuitionist analysis. Topics include recursive convergence, recursive and relative continuity, recursive and relative differentiability, the relative integral, elementary functions, and transfinite ordinals. 1961 edition.

Table of Contents

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

Product Details

ISBN:
9780486477510
Author:
Goodstein, R. L.
Publisher:
Dover Publications
Author:
Mathematics
Subject:
Recursion theory
Subject:
Logic
Subject:
General Mathematics
Subject:
Recursive analysis
Subject:
Recursive convergence
Subject:
Recursive and relative continuity
Subject:
Mathematics-Logic and Philosophy
Subject:
Discrete Mathematics
Edition Description:
Trade Paper
Series:
Dover Books on Mathematics
Publication Date:
20100431
Binding:
TRADE PAPER
Language:
English
Illustrations:
Y
Pages:
144
Dimensions:
8.5 x 5.38 in 0.37 lb

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Related Subjects

Science and Mathematics » Mathematics » Advanced
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Recursive Analysis (Dover Books on Mathematics) New Trade Paper
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Product details 144 pages Dover Publications - English 9780486477510 Reviews:
"Synopsis" by ,
This text by a master in the field covers recursive convergence, recursive and relative continuity, recursive and relative differentiability, the relative integral, elementary functions, and transfinite ordinals. 1961 edition.
"Synopsis" by ,
This graduate-level text by a master in the field builds a function theory of the rational field that combines aspects of classical and intuitionist analysis. Topics include recursive convergence, recursive and relative continuity, recursive and relative differentiability, the relative integral, elementary functions, and transfinite ordinals. 1961 edition.
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