LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	511.3
Title	A.P. Morse’s Set Theory and Analysis ( EBook/) / edited by Robert A. Alps.
Added Personal Name	Alps, Robert A.
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2022.
Publication	Cham : : Springer International Publishing : : Imprint: Birkhäuser, , 2022.
Physical Details	LXXXI, 454 p. : online resource.
ISBN	9783031053559
Summary Note	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.:
Contents note	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.
Mode of acces to digital resource	Digital reproduction.-
	Cham :
	Springer International Publishing,
	2022. -
	Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-3-031-05355-9
Links to Related Works	Subject References: Functions of real variables . History . History of Mathematical Sciences . Mathematical logic . Mathematical Logic and Foundations . Mathematics . Measure and Integration . Measure theory . Real Functions . Authors: Alps, Robert A. . editor . Corporate Authors: SpringerLink (Online service) . Classification: 511.3 .

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A.P. Morse’s Set Theory and Analysis

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