Functional Analysis

Artikelnummer: 978-81-951961-3-5
Einband: Kartonierter Einband (Kt)
Verfügbarkeit: Fremdlagertitel, Lieferzeit unbestimmt.
CHF 73.00
decrease increase

This book is suited for a first course on Functional Analysis at the masters level. Efforts have been made to illustrate the use of various results via examples taken from differential equations and the calculus of variations, either through brief sections or through exercises. So, this book will be particularly useful for students who aspire to a research career in the applications of mathematics.

Special emphasis has been given to the treatment of weak topologies and their applications to notions like reflexivity, separability and uniform convexity. The chapter on Lebesgue spaces includes a section devoted to the simplest examples of Sobolev spaces. The chapter on compact operators includes the spectral theory of compact self-adjoint operators on a Hilbert space.

Each chapter concludes with a large selection of exercises of varying degrees of difficulty. They often provide examples or counter-examples to illustrate the optimality of the hypotheses of various theorems proved in the text, or develop simple versions of theories not developed therein.

In this (second) edition, the book has been completely overhauled, without altering its original structure. Proofs of many results have been rewritten for greater clarity of exposition. Many examples have been added to make the text more user-friendly. Several new exercises have been added.

This book is suited for a first course on Functional Analysis at the masters level. Efforts have been made to illustrate the use of various results via examples taken from differential equations and the calculus of variations, either through brief sections or through exercises. So, this book will be particularly useful for students who aspire to a research career in the applications of mathematics.

Special emphasis has been given to the treatment of weak topologies and their applications to notions like reflexivity, separability and uniform convexity. The chapter on Lebesgue spaces includes a section devoted to the simplest examples of Sobolev spaces. The chapter on compact operators includes the spectral theory of compact self-adjoint operators on a Hilbert space.

Each chapter concludes with a large selection of exercises of varying degrees of difficulty. They often provide examples or counter-examples to illustrate the optimality of the hypotheses of various theorems proved in the text, or develop simple versions of theories not developed therein.

In this (second) edition, the book has been completely overhauled, without altering its original structure. Proofs of many results have been rewritten for greater clarity of exposition. Many examples have been added to make the text more user-friendly. Several new exercises have been added.

Schreiben Sie Ihre eigene Bewertung
  • Nur registrierte Benutzer können Produkte bewerten
*
*
Schlecht
Sehr gut
*
*
*
*
VerlagHindustan Book Agency
EinbandKartonierter Einband (Kt)
Erscheinungsjahr2023
Seitenangabe300 S.
AusgabekennzeichenEnglisch
MasseH15.8 cm x B24.8 cm x D2.2 cm 498 g
AuflageSecond Edition
AutorKesavan, S.

Über den Autor S. Kesavan

S. Kesavan is Adjunct Professor at the Indian Institute of Technology Madras, Chennai, India. He received his Docteur-es-Sciences Mathematiques from the Universite Pierre et Marie Curie (Paris VI) in 1979 for the thesis entitled "Sur l'approximation de probl`emes lineaires et nonlineaires de valeurs propres", supervised by Professors J.L. Lions and P.G. Ciarlet. Earlier, he was a Deputy Director of Chennai Mathematical Institute (CMI) during 2007-2010; TIFR Centre for Applicable Mathematics, Bengaluru, India. His research areas include partial differential equations, homogenization, control theory and isoperimetric inequalities.Author of 5 books, Prof. Kesavan has published more than 50 papers in national and international journals and several contributions to conference proceedings. He was elected Vice-President of the Ramanujan Mathematical Society in 2016 (served from 2016-2019); Fellow of the Indian Academy of Sciences, Bengaluru; Fellow of the National Academy of Sciences, India; Member of the National Board of Higher Mathematics (NBHM) (from 2000-2019); and Secretary, Grants Selection; Commission for Developing Countries, International Mathematical Union (from 2011-2018). He is Recipient of the C.L. Chandna Award for Outstanding Contributions to Mathematics Research and Teaching (1999) and Tamil Nadu Scientist Award, awarded by the Tamil Nadu State Council for Science and Technology, in Mathematical Sciences (1998).

Weitere Titel von S. Kesavan

Produktbewertungen
Nur registrierte Benutzer können Produkte bewerten