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Pages: 421
Authors: Vladimir Kanovei
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Type: BOOK - Published: 2013-03-09 - Publisher: Springer Science & Business Media

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In the aftermath of the discoveries in foundations of mathematiC's there was surprisingly little effect on mathematics as a whole. If one looks at stan dard tex
Nonstandard Analysis
Language: en
Pages: 184
Authors: Alain Robert
Categories: Mathematics
Type: BOOK - Published: 2003-01-01 - Publisher: Courier Corporation

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This concise text is based on the axiomatic internal set theory approach. Theoretical topics include idealization, standardization, and transfer, real numbers a
Non-standard Analysis
Language: en
Pages: 315
Authors: Abraham Robinson
Categories: Mathematics
Type: BOOK - Published: 2016-08-11 - Publisher: Princeton University Press

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Considered 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 mat
A Primer of Infinitesimal Analysis
Language: en
Pages: 7
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Categories: Mathematics
Type: BOOK - Published: 2008-04-07 - Publisher: Cambridge University Press

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A rigorous, axiomatically formulated presentation of the 'zero-square', or 'nilpotent' infinitesimal.
Real Analysis Through Modern Infinitesimals
Language: en
Pages: 587
Authors: Nader Vakil
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Type: BOOK - Published: 2011-02-17 - Publisher: Cambridge University Press

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A coherent, self-contained treatment of the central topics of real analysis employing modern infinitesimals.