Items related to Standard Part Function: Abraham Robinson, Non-standard...

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

Synopsis

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."

"synopsis" may belong to another edition of this title.

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."

"About this title" may belong to another edition of this title.