Logo

Nonstandard Analysis by J. Ponstein

Small book cover: Nonstandard Analysis

Nonstandard Analysis
by


ISBN/ASIN: 9036716721
Number of pages: 147

Description:
This book is concerned with an attempt to introduce the infinitesimals and the other 'nonstandard' numbers in a naive, simpleminded way. Nevertheless, the resulting theory is hoped to be mathematically sound, and to be complete within obvious limits.

Download or read it online for free here:
Download link
(700KB, PDF)

Similar books

Book cover: Lectures on Topics in AnalysisLectures on Topics in Analysis
by - Tata Institute of Fundamental Research
Topics covered: Differentiable functions in Rn; Manifolds; Vector bundles; Linear differential operators; Cauchy Kovalevski Theorem; Fourier transforms, Plancherel's theorem; Sobolev spaces Hm,p; Elliptic differential operators; etc.
(7218 views)
Book cover: Mathematical Methods for Economic Theory: a tutorialMathematical Methods for Economic Theory: a tutorial
by - University of Toronto
This tutorial covers the basic mathematical tools used in economic theory. The main topics are multivariate calculus, concavity and convexity, optimization theory, differential and difference equations. Knowledge of elementary calculus is assumed.
(12176 views)
Book cover: Transmutations and Applications: a surveyTransmutations and Applications: a survey
by - arXiv
We consider main transmutation theory topics with many applications, including author's own results. The topics covered are: transmutations for Sturm-Liouville operators, Vekua-Erdelyi-Lowndes transmutations, Sonine and Poisson transmutations, etc.
(6542 views)
Book cover: Measure Theory in Non-Smooth SpacesMeasure Theory in Non-Smooth Spaces
by - De Gruyter Open
The aim of this book, which gathers contributions from specialists with different backgrounds, is that of creating a collection of various aspects of measure theory occurring in recent research, increasing interactions between different fields.
(2214 views)