Analysis: From Concepts To Applications (universitext)
by Jean-Paul Penot /
2016 / English / PDF
3.8 MB Download
This textbook covers the main results and methods of real
analysis in a single volume. Taking a progressive approach to
equations and transformations, this book starts with the very
foundations of real analysis (set theory, order, convergence, and
measure theory) before presenting powerful results that can be
applied to concrete problems.
This textbook covers the main results and methods of real
analysis in a single volume. Taking a progressive approach to
equations and transformations, this book starts with the very
foundations of real analysis (set theory, order, convergence, and
measure theory) before presenting powerful results that can be
applied to concrete problems.
In addition to classical results of functional analysis,
differential calculus and integration,
In addition to classical results of functional analysis,
differential calculus and integration,Analysis
Analysis discusses
topics such as convex analysis, dissipative operators and
semigroups which are often absent from classical treatises.
Acknowledging that analysis has significantly contributed to the
understanding and development of the present world, the book
further elaborates on techniques which pervade modern
civilization, including wavelets in information theory, the Radon
transform in medical imaging and partial differential equations
in various mechanical and physical phenomena.
discusses
topics such as convex analysis, dissipative operators and
semigroups which are often absent from classical treatises.
Acknowledging that analysis has significantly contributed to the
understanding and development of the present world, the book
further elaborates on techniques which pervade modern
civilization, including wavelets in information theory, the Radon
transform in medical imaging and partial differential equations
in various mechanical and physical phenomena.
Advanced undergraduate and graduate students, engineers as well
as practitioners wishing to familiarise themselves with concepts
and applications of analysis will find this book useful. With its
content split into several topics of interest, the book’s style
and layout make it suitable for use in several courses, while its
self-contained character makes it appropriate for self-study.
Advanced undergraduate and graduate students, engineers as well
as practitioners wishing to familiarise themselves with concepts
and applications of analysis will find this book useful. With its
content split into several topics of interest, the book’s style
and layout make it suitable for use in several courses, while its
self-contained character makes it appropriate for self-study.
