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
Transmutations and Applications: a surveyby Sergei M. Sitnik - 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.
(10489 views)
Orbital Integrals on Reductive Lie Groups and Their Algebrasby Francisco Bulnes - InTech
The purpose is to present a complete course on global analysis topics and establish some orbital applications of the integration on topological groups and their algebras to harmonic analysis and induced representations in representation theory.
(9917 views)
Linear Mathematics In Infinite Dimensionsby U. H. Gerlach - The Ohio State University
Contents: Infinite Dimensional Vector Spaces; Fourier Theory; Sturm-Liouville Theory; Green's Function Theory; Special Function Theory; Partial Differential Equations; System of Partial Differential Equations: How to Solve Maxwell's Equations ...
(9498 views)
Reader-friendly Introduction to the Measure Theoryby Vasily Nekrasov - Yetanotherquant.de
This is a very clear and user-friendly introduction to the Lebesgue measure theory. After reading these notes, you will be able to read any book on Real Analysis and will easily understand Lebesgue integral and other advanced topics.
(13131 views)