Continuous Functions, Volume 2
Jacques Simon, "Continuous Functions, Volume 2"
English | ISBN: 1786300109 | 2020 | 272 pages | PDF | 3 MB
English | ISBN: 1786300109 | 2020 | 272 pages | PDF | 3 MB
From the Introduction
Objective. This book is the second of six volumes in a series dedicated to the
mathematical tools for solving partial differential equations derived from physics:
Volume 1: Banach, Fréchet, Hilbert and Neumann Spaces;
Volume 2: Continuous Functions;
Volume 3: Distributions;
Volume 4: Lebesgue and Sobolev Spaces;
Volume 5: Traces;
Volume 6: Partial Differential Equations.
This second volume is devoted to the partial differentiation of functions and the construction of primitives, which is its inverse mapping, and to their properties, which will be useful for constructing distributions and studying partial differential equations later.
Target audience. We intended to find simple methods that require a minimal level of knowledge to make these tools accessible to the largest audience possible – PhD candidates, advanced students1 and engineers – without losing generality and even generalizing some standard results, which may be of interest to some researchers…