EAN: 9789811092985

LINEAR FUNCTIONAL ANALYSIS FOR SCIENTISTS AND E...

This book provides a concise and meticulous introduction to functional analysis. Since the
topic draws heavily on the interplay between the algebraic structure of a linear space and the
distance structure of a metric space  functional analysis is increasingly gaining the attention
of not only mathematicians but also scientists and engineers. The purpose of the text is to
present the basic aspects of functional analysis to this varied audience  keeping in mind the
considerations of applicability. A novelty of this book is the inclusion of a result by
Zabreiko  which states that every countably subadditive seminorm on a Banach space is
continuous. Several major theorems in functional analysis are easy consequences of this result.
The entire book can be used as a textbook for an introductory course in functional analysis
without having to make any specific selection from the topics presented here. Basic notions in
the setting of a metric space are defined in terms of sequences. These include total
boundedness  compactness  continuity and uniform continuity. Offering concise and to-the-point
treatment of each topic in the framework of a normed space and of an inner product space  the
book represents a valuable resource for advanced undergraduate students in mathematics  and
will also appeal to graduate students and faculty in the natural sciences and engineering. The
book is accessible to anyone who is familiar with linear algebra and real analysis.

Aktuelle Preise zur EAN 9789811092985

Produktinformationen zur 9789811092985