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Standard Part Function: Abraham Robinson, Non-standard Analysis, Ghosts of Departed Quantities, Non-standard Calculus, Hyperreal Number, Infinitesimal, Hyperinteger - Softcover

 
9786130361143: Standard Part Function: Abraham Robinson, Non-standard Analysis, Ghosts of Departed Quantities, Non-standard Calculus, Hyperreal Number, Infinitesimal, Hyperinteger
Softcover
ISBN 10: 6130361149 ISBN 13: 9786130361143
Verlag: Betascript Publishers, 2010

Inhaltsangabe

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In non-standard analysis, the standard part function st" is the key ingredient in Abraham Robinson''s resolution of the paradox of Leibniz''s definition of the derivative as the ratio of two infinitesimals. The standard part of any infinitesimal is 0. Thus if N is a hypernatural, then N is infinitesimal, and st =0. The existence of the standard part function is a consequence of the completeness of the reals or the fact that finite closed intervals of the reals are compact. The standard part function "st" is not an internal object."

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Reseña del editor

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In non-standard analysis, the standard part function st" is the key ingredient in Abraham Robinson''s resolution of the paradox of Leibniz''s definition of the derivative as the ratio of two infinitesimals. The standard part of any infinitesimal is 0. Thus if N is a hypernatural, then N is infinitesimal, and st =0. The existence of the standard part function is a consequence of the completeness of the reals or the fact that finite closed intervals of the reals are compact. The standard part function "st" is not an internal object."

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Betascript Publishers
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
6130361149
ISBN 13 
9786130361143
Einband
Tapa blanda
Anzahl der Seiten
76
Herausgeber
Surhone Lambert M., Tennoe Mariam T., Henssonow Susan F.
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Nicht verfügbar