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alps robert a. (curatore) - a.p. morse’s set theory and analysis

A.P. Morse’s Set Theory and Analysis




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Dettagli

Genere:Libro
Lingua: Inglese
Editore:

Birkhäuser

Pubblicazione: 08/2022
Edizione: 1st ed. 2022





Trama

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.





Sommario

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.




Autore

Robert A. Alps is a retired pension actuary living in Evanston, Illinois. His Ph. D. dissertation at Northwestern University dealt with Morse's formal language. He assisted Morse in the preparation of the second edition of A Theory of Sets (1986).










Altre Informazioni

ISBN:

9783031053542

Condizione: Nuovo
Dimensioni: 279 x 210 mm Ø 1545 gr
Formato: Copertina rigida
Illustration Notes:LXXXI, 454 p. With online files/update.
Pagine Arabe: 454
Pagine Romane: lxxxi


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