Linear Functional Analysis for Scientists and Engineers

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 mathem...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Limaye, Balmohan V. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Singapore : Springer Nature Singapore : Imprint: Springer, 2016.
Edición:1st ed. 2016.
Temas:
Functional analysis.
Functions of real variables.
Functional Analysis.
Real Functions.
Acceso en línea:Texto Completo

MARC

LEADER 00000nam a22000005i 4500
001 978-981-10-0972-3
003 DE-He213
005 20230822012008.0
007 cr nn 008mamaa
008 160618s2016 si | s |||| 0|eng d
020 |a 9789811009723  |9 978-981-10-0972-3 
024 7 |a 10.1007/978-981-10-0972-3  |2 doi 
050 4 |a QA319-329.9 
072 7 |a PBKF  |2 bicssc 
072 7 |a MAT037000  |2 bisacsh 
072 7 |a PBKF  |2 thema 
082 0 4 |a 515.7  |2 23 
100 1 |a Limaye, Balmohan V.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Linear Functional Analysis for Scientists and Engineers  |h [electronic resource] /  |c by Balmohan V. Limaye. 
250 |a 1st ed. 2016. 
264 1 |a Singapore :  |b Springer Nature Singapore :  |b Imprint: Springer,  |c 2016. 
300 |a XIV, 254 p. 36 illus., 1 illus. in color.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
505 0 |a Chapter 1. Preliminaries -- Chapter 2. Basic Framework -- Chapter 3. Bounded Linear Maps -- Chapter 4. Dual Spaces, Transposes and Adjoints -- Chapter 5. Spectral Theory. 
520 |a 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. 
650 0 |a Functional analysis. 
650 0 |a Functions of real variables. 
650 1 4 |a Functional Analysis. 
650 2 4 |a Real Functions. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9789811009709 
776 0 8 |i Printed edition:  |z 9789811009716 
776 0 8 |i Printed edition:  |z 9789811092985 
856 4 0 |u https://doi.uam.elogim.com/10.1007/978-981-10-0972-3  |z Texto Completo 
912 |a ZDB-2-SMA 
912 |a ZDB-2-SXMS 
950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713) 

Ejemplares similares