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A.P. Morse’s Set Theory and Analysis

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	A.P. Morse’s Set Theory and Analysis/ edited by Robert A. Alps.
其他作者:	Alps, Robert A.
面頁冊數:	LXXXI, 454 p.online resource. :
Contained By:	Springer Nature eBook
標題:	History of Mathematical Sciences. -
電子資源:	https://doi.org/10.1007/978-3-031-05355-9
ISBN:	9783031053559

A.P. Morse’s Set Theory and Analysis
A.P. Morse’s Set Theory and Analysis[electronic resource] /edited by Robert A. Alps. - 1st ed. 2022. - LXXXI, 454 p.online resource.

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.

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.

ISBN: 9783031053559

Standard No.: 10.1007/978-3-031-05355-9doiSubjects--Topical Terms:

785417
History of Mathematical Sciences.

LC Class. No.: QA8.9-10.3

Dewey Class. No.: 511.3

A.P. Morse’s Set Theory and Analysis
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