A.P. Morse’s Set Theory and Analysis (eBook)

Robert A. Alps (Herausgeber)

eBook Download: PDF

2022 | 1st ed. 2022
LXXXI, 454 Seiten
Springer International Publishing (Verlag)
978-3-031-05355-9 (ISBN)

Infos

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.

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).

Produkt-Details

• Erscheint lt. Verlag: 24.8.2022
• Zusatzinfo: LXXXI, 454 p.
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik
• Schlagworte: A.P. Morse Set Theory • elementary analysis • History of Mathematics • Mathematical Logic and Foundations • measure and integration • set theory
• ISBN-10: 3-031-05355-9 / 3031053559
• ISBN-13: 978-3-031-05355-9 / 9783031053559