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Title
A.P. Morse's set theory and analysis / Robert A. Alps, editors.
ISBN
9783031053559 (electronic bk.)
3031053559 (electronic bk.)
9783031053542
Published
Cham : Birkhäuser, 2022.
Language
English
Description
1 online resource (lxxxi, 454 pages)
Item Number
10.1007/978-3-031-05355-9 doi
Call Number
QA248
Dewey Decimal Classification
511.3/22
Summary
This volume explores A.P. Morse's (1911-1984) development of a formal language for writing mathematics, his application of that language in set theory and mathematical analysis, and his unique perspective on mathematics. The editor brings together a variety of Morse's works in this compilation, including Morse's book A Theory of Sets, Second Edition (1986), in addition to material from another of Morse's publications, Web Derivatives, and notes for a course on analysis from the early 1950's. Because Morse provided very little in the way of explanation in his written works, the editor's commentary serves to outline Morse's goals, give informal explanations of Morse's formal language, and compare Morse's often unique approaches to more traditional approaches. Minor corrections to Morse's previously published works have also been incorporated into the text, including some updated axioms, theorems, and definitions. The editor's introduction thoroughly details the corrections and changes made and provides readers with valuable insight on Morse's methods. A.P. Morse's Set Theory and Analysis will appeal to graduate students and researchers interested in set theory and analysis who also have an interest in logic. Readers with a particular interest in Morse's unique perspective and in the history of mathematics will also find this book to be of interest.
Bibliography, etc. Note
Includes bibliographical references.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed August 31, 2022).
Preface
Editor's Introduction
Language and Inference
Logic
Set Theory
Elementary Analysis
Metrics
Measure
Linear Measure and Total Variation
Integration
Product Measures
Web Derivatives
Classical Differentiation
The Construction of Definition
The Consistency of the Axiom of Size
Suggested Reading
Publications of A.P. Morse
Errata to A Theory of Sets, Second Edition
Integration with Respect to Addor Functions
The Henstock-Kurzweil Integral.
