Nonstandard Analysis and Vector Lattices PDF
By:Semën Samsonovich Kutateladze
Published on 2012-12-06 by Springer Science & Business Media
Nonstandard methods of analysis consist generally in comparative study of two interpretations of a mathematical claim or construction given as a formal symbolic expression by means of two different set-theoretic models: one, a |standard| model and the other, a |nonstandard| model. The second half of the twentieth century is a period of significant progress in these methods and their rapid development in a few directions. The first of the latter appears often under the name coined by its inventor, A. Robinson. This memorable but slightly presumptuous and defiant term, non standard analysis, often swaps places with the term Robinsonian or classical non standard analysis. The characteristic feature of Robinsonian analysis is a frequent usage of many controversial concepts appealing to the actual infinitely small and infinitely large quantities that have resided happily in natural sciences from ancient times but were strictly forbidden in modern mathematics for many decades. The present-day achievements revive the forgotten term infinitesimal analysis which reminds us expressively of the heroic bygones of Calculus. Infinitesimal analysis expands rapidly, bringing about radical reconsideration of the general conceptual system of mathematics. The principal reasons for this progress are twofold. Firstly, infinitesimal analysis provides us with a novel under standing for the method of indivisibles rooted deeply in the mathematical classics.
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Book ID of Nonstandard Analysis and Vector Lattices's Books is _enqCAAAQBAJ, Book which was written bySemën Samsonovich Kutateladzehave ETAG "qD1D45hbB7Y"
Book which was published by Springer Science & Business Media since 2012-12-06 have ISBNs, ISBN 13 Code is 9789401143059 and ISBN 10 Code is 9401143056
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