## Non-standard Analysis |

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#### LibraryThing Review

User Review - chemacortes - LibraryThingConsidered by many to be Abraham Robinson's magnum opus, this book offers an explanation of the development and applications of non-standard analysis by the mathematician who founded the subject. Non ... Read full review

#### LibraryThing Review

User Review - fpagan - LibraryThingFrom the horse's mouth -- the discoverer of nonstandard analysis himself (1918-1974) wrote this rigorous exposition, noted for its difficult logic-theoretic starting point. Pretty impenetrable, but I ... Read full review

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Accordingly Analysis analytic applies arbitrary argument assumption belongs bounded called Cauchy choose circle classical closed compact completes conclude condition consider consistent constants contains continuous convergence corresponding defined definition denoted derivatives determine Differential elements enlargement equal equation equivalent example exists expressed fact finite finite positive follows function given Hence higher order holds implies includes individuals infinite natural number infinitely small infinitesimal integral internal internal set introduced language limit linear mapping means measure method metric monad Moreover near-standard necessary non-standard normal notion obtain occur open sets operator particular positive positive integer positive number possesses Proof proves real numbers regarded relation respectively result S-continuous satisfied sense sentence sequence set of points shows space standard point statement structure subset sufficient Suppose symbols Theorem theory topological true values variable zero