Can I read Nonstandard Analysis: Business Analytics (SAP Excellence) on EtoBox?

Nonstandard Analysis: Business Analytics (SAP Excellence) by Martin Andreas Väth is a nonfiction available to read on EtoBox.

What is Nonstandard Analysis: Business Analytics (SAP Excellence) about?

Nonstandard analysis was originally developed by Robinson to rigorously justify infinitesimals like df and dx in expressions like df/ dx in Leibniz' calculus or even to justify concepts such as [delta]-"function". However, the approach is much more general and was soon extended by Henson, Luxemburg and others to a useful tool especially in more advanced analysis, topology, and functional analysis. The book is an introduction with emphasis on those more advanced applications in analysis which are hardly accessible by other methods. Examples of such topics a deeper analysis of certain functionals like Hahn-Banach limits or of finitely additive measures: From the viewpoint of classical analysis these are strange objects whose mere existence is even hard to prove. From the viewpoint of nonstandard analysis, these are rather "explicit" objects.Formally, nonstandard analysis is an application of model theory in analysis. However, the reader of the book is not expected to have any background in model theory; instead knowledge of calculus is required and, although the book is rather self-contained, background in more advance analysis or (elementary) topology is useful.

Who reads Nonstandard Analysis: Business Analytics (SAP Excellence)?

Author

Martin Andreas Väth

Publisher

Birkhäuser Verlag

Published

2007

Language

EN

ISBN

9783764377748

Category

nonfiction

Subjects

Mathematics, Stem