|
Showing 1 - 3 of
3 matches in All Departments
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).
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).
Hoermander operators are a class of linear second order partial
differential operators with nonnegative characteristic form and
smooth coefficients, which are usually degenerate
elliptic-parabolic, but nevertheless hypoelliptic, that is highly
regularizing. The study of these operators began with the 1967
fundamental paper by Lars Hoermander and is intimately connected to
the geometry of vector fields.Motivations for the study of
Hoermander operators come for instance from
Kolmogorov-Fokker-Planck equations arising from modeling physical
systems governed by stochastic equations and the geometric theory
of several complex variables. The aim of this book is to give a
systematic exposition of a relevant part of the theory of
Hoermander operators and vector fields, together with the necessary
background and prerequisites.The book is intended for self-study,
or as a reference book, and can be useful to both younger and
senior researchers, already working in this area or aiming to
approach it.
|
You may like...
Top Five
Rosario Dawson, Cedric The Entertainer, …
Blu-ray disc
R40
Discovery Miles 400
|