Hörmander's operators are an important class of linear elliptic-parabolic degenerate partial differential operators with smooth coefficients, which have been intensively studied since the late 1960s and are still an active field of research. This text provides the reader with a general overview of the field, with its motivations and problems, some of its fundamental results, and some recent lines of development.

An Invitation to Hypoelliptic Operators and Hörmander's Vector Fields (SpringerBriefs in Mathematics)

Science & Math

Bramanti, Marco

Mathematics

Springer

This book is dedicated to preparing prospective college students for the study of mathematics.  It can be used at the end of high school or during the first year of college, for personal study or for introductory courses. It aims to set a meeting between two relatives who rarely speak to each other: the Mathematics of Beauty, which shows up in some popular books and films, and the Mathematics of Toil, which is widely known. Toil can be overcome through an appropriate method of work. Beauty will be found in the achievement of a way of thinking. The first part concerns the mathematical language: the expressions “for all”, “there exists”, “implies”, “is false”, ...; what is a proof by contradiction; how to use indices, sums, induction. The second part tackles specific difficulties: to study a definition, to understand an idea and apply it, to fix a slightly wrong argument, to discuss suggestions, to explain a proof. The third part presents customary techniques and points of view in college mathematics. The reader can choose one of three difficulty levels (A, B, C).

Studying Mathematics: The Beauty, the Toil and the Method

Education & Teaching

Travaglini, Giancarlo

Schools & Teaching

Analisi matematica 2

Salsa, Sandro

Pagani, Carlo D.

Zanichelli

Esercitazioni di Analisi Matematica 1 (Italian Edition)

Societa Editrice Esculapio

Hormander Operators

Brandolini, Luca

World Scientific Pub Co Inc

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