Elementary Introduction to New Generalized Functions by Jean Francois Colombeau (PDF)

Description

The author’s previous book ‘New Generalized Functions and Multiplication of Distributions’ (North-Holland, 1984) introduced ‘new generalized functions’ in order to explain heuristic computations of Physics and to give a meaning to any finite product of distributions. The aim here is to present these functions in a more direct and elementary way. In Part I, the reader is assumed to be familiar only with the concepts of open and compact subsets of R, of C functions of several real variables and with some rudiments of integration theory. Part II defines tempered generalized functions, i.e. generalized functions which are, in some sense, increasing at infinity no faster than a polynomial (as well as all their partial derivatives). Part III shows that, in this setting, the partial differential equations have new solutions. The results obtained show that this setting is perfectly adapted to the study of nonlinear partial differential equations, and indicate some new perspectives in this field.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐

⭐

Keywords

Free Download Elementary Introduction to New Generalized Functions in PDF format
Elementary Introduction to New Generalized Functions PDF Free Download
Download Elementary Introduction to New Generalized Functions 2012 PDF Free
Elementary Introduction to New Generalized Functions 2012 PDF Free Download
Download Elementary Introduction to New Generalized Functions PDF
Free Download Ebook Elementary Introduction to New Generalized Functions