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001449110 001__ 1449110
001449110 003__ OCoLC
001449110 005__ 20230310004343.0
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001449110 020__ $$a9783031053559$$q(electronic bk.)
001449110 020__ $$a3031053559$$q(electronic bk.)
001449110 020__ $$z9783031053542
001449110 0247_ $$a10.1007/978-3-031-05355-9$$2doi
001449110 035__ $$aSP(OCoLC)1343014103
001449110 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dOCLCF$$dOCLCQ
001449110 049__ $$aISEA
001449110 050_4 $$aQA248
001449110 08204 $$a511.3/22$$223/eng/20220831
001449110 24500 $$aA.P. Morse's set theory and analysis /$$cRobert A. Alps, editors.
001449110 2463_ $$aSet theory and analysis
001449110 264_1 $$aCham :$$bBirkhäuser,$$c2022.
001449110 300__ $$a1 online resource (lxxxi, 454 pages)
001449110 336__ $$atext$$btxt$$2rdacontent
001449110 337__ $$acomputer$$bc$$2rdamedia
001449110 338__ $$aonline resource$$bcr$$2rdacarrier
001449110 504__ $$aIncludes bibliographical references.
001449110 5050_ $$aPreface -- Editor's Introduction -- Language and Inference -- Logic -- Set Theory -- Elementary Analysis -- Metrics -- Measure -- Linear Measure and Total Variation -- Integration -- Product Measures -- Web Derivatives -- Classical Differentiation -- The Construction of Definition -- The Consistency of the Axiom of Size -- Suggested Reading -- Publications of A.P. Morse -- Errata to A Theory of Sets, Second Edition -- Integration with Respect to Addor Functions -- The Henstock-Kurzweil Integral.
001449110 506__ $$aAccess limited to authorized users.
001449110 520__ $$aThis volume explores A.P. Morse's (1911-1984) development of a formal language for writing mathematics, his application of that language in set theory and mathematical analysis, and his unique perspective on mathematics. The editor brings together a variety of Morse's works in this compilation, including Morse's book A Theory of Sets, Second Edition (1986), in addition to material from another of Morse's publications, Web Derivatives, and notes for a course on analysis from the early 1950's. Because Morse provided very little in the way of explanation in his written works, the editor's commentary serves to outline Morse's goals, give informal explanations of Morse's formal language, and compare Morse's often unique approaches to more traditional approaches. Minor corrections to Morse's previously published works have also been incorporated into the text, including some updated axioms, theorems, and definitions. The editor's introduction thoroughly details the corrections and changes made and provides readers with valuable insight on Morse's methods. A.P. Morse's Set Theory and Analysis will appeal to graduate students and researchers interested in set theory and analysis who also have an interest in logic. Readers with a particular interest in Morse's unique perspective and in the history of mathematics will also find this book to be of interest.
001449110 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed August 31, 2022).
001449110 650_0 $$aSet theory.
001449110 650_0 $$aMathematical analysis.
001449110 655_0 $$aElectronic books.
001449110 7001_ $$aAlps, Robert A.$$eeditor.
001449110 852__ $$bebk
001449110 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-05355-9$$zOnline Access$$91397441.1
001449110 909CO $$ooai:library.usi.edu:1449110$$pGLOBAL_SET
001449110 980__ $$aBIB
001449110 980__ $$aEBOOK
001449110 982__ $$aEbook
001449110 983__ $$aOnline
001449110 994__ $$a92$$bISE