**Nonstandard Analysis**

by J. Ponstein

2002**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

**Real Numbers and Fascinating Fractions**

by

**N. M. Beskin**

This text introduces the interesting and valuable concept of continued fractions. Contents: Two Historical Puzzles; Formation of Continued Fractions; Convergents; Non-terminating Continued Fractions; Approximation of Real Numbers.

(

**15343**views)

**Lectures on Topics in Analysis**

by

**Raghavan Narasimhan**-

**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.

(

**11347**views)

**Short introduction to Nonstandard Analysis**

by

**E. E. Rosinger**-

**arXiv**

These notes offer a short and rigorous introduction to Nostandard Analysis, mainly aimed to reach to a presentation of the basics of Loeb integration, and in particular, Loeb measures. The Abraham Robinson version of Nostandard Analysis is pursued.

(

**12729**views)

**Problems in Mathematical Analysis**

by

**B. P. Demidovich**-

**MIR Publishers**

This collection of problems and exercises in mathematical analysis covers the maximum requirements of general courses in higher mathematics for higher technical schools. It contains over 3,000 problems covering all branches of higher mathematics.

(

**26535**views)