Articles liés à Spectral Theory: Basic Concepts and Applications
Synopsis
This textbook offers a concise introduction to spectral theory, designed for newcomers to functional analysis. Curating the content carefully, the author builds to a proof of the spectral theorem in the early part of the book. Subsequent chapters illustrate a variety of application areas, exploring key examples in detail. Readers looking to delve further into specialized topics will find ample references to classic and recent literature.
Beginning with a brief introduction to functional analysis, the text focuses on unbounded operators and separable Hilbert spaces as the essential tools needed for the subsequent theory. A thorough discussion of the concepts of spectrum and resolvent follows, leading to a complete proof of the spectral theorem for unbounded self-adjoint operators. Applications of spectral theory to differential operators comprise the remaining four chapters. These chapters introduce the Dirichlet Laplacian operator, Schrödinger operators, operators on graphs, and the spectral theory of Riemannian manifolds.Spectral Theory offers a uniquely accessible introduction to ideas that invite further study in any number of different directions. A background in real and complex analysis is assumed; the author presents the requisite tools from functional analysis within the text. This introductory treatment would suit a functional analysis course intended as a pathway to linear PDE theory. Independent later chapters allow for flexibility in selecting applications to suit specific interests within a one-semester course.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
À propos de l?auteur
David Borthwick is Professor and Director of Graduate Studies in the Department of Mathematics at Emory University, Georgia, USA. His research interests are in spectral theory, global and geometric analysis, and mathematical physics. His monograph Spectral Theory of Infinite-Area Hyperbolic Surfaces appears in Birkhäuser's Progress in Mathematics, and his Introduction to Partial Differential Equations is published in Universitext.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
Acheter neuf
Afficher cet article
EUR 32,09
EUR 11 expédition depuis Allemagne vers France
Destinations, frais et délaisAutres éditions populaires du même titre
Résultats de recherche pour Spectral Theory: Basic Concepts and Applications
Image fournie par le vendeur
Spectral Theory
Edité par
Springer International Publishing Mrz 2021, 2021
ISBN 10 : 3030380041
ISBN 13 : 9783030380045
Neuf
Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This textbook offers a concise introduction to spectral theory, designed for newcomers to functional analysis. Curating the content carefully, the author builds to a proof of the spectral theorem in the early part of the book. Subsequent chapters illustrate a variety of application areas, exploring key examples in detail. Readers looking to delve further into specialized topics will find ample references to classic and recent literature.Beginning with a brief introduction to functional analysis, the text focuses on unbounded operators and separable Hilbert spaces as the essential tools needed for the subsequent theory. A thorough discussion of the concepts of spectrum and resolvent follows, leading to a complete proof of the spectral theorem for unbounded self-adjoint operators. Applications of spectral theory to differential operators comprise the remaining four chapters. These chapters introduce the Dirichlet Laplacian operator, Schrödinger operators, operators on graphs, and the spectral theory of Riemannian manifolds.Spectral Theory offers a uniquely accessible introduction to ideas that invite further study in any number of different directions. A background in real and complex analysis is assumed; the author presents the requisite tools from functional analysis within the text. This introductory treatment would suit a functional analysis course intended as a pathway to linear PDE theory. Independent later chapters allow for flexibility in selecting applications to suit specific interests within a one-semester course. 348 pp. Englisch. N° de réf. du vendeur 9783030380045
Quantité disponible : 2 disponible(s)
Image d'archives
SPECTRAL THEORY
Vendeur : Romtrade Corp., STERLING HEIGHTS, MI, Etats-Unis
Évaluation du vendeur 5 sur 5 étoiles
Etat : New. This is a Brand-new US Edition. This Item may be shipped from US or any other country as we have multiple locations worldwide. N° de réf. du vendeur ABNR-16044
Quantité disponible : 1 disponible(s)
Image d'archives
SPECTRAL THEORY
Vendeur : SMASS Sellers, IRVING, TX, Etats-Unis
Évaluation du vendeur 5 sur 5 étoiles
Etat : New. Brand New Original US Edition. Customer service! Satisfaction Guaranteed. N° de réf. du vendeur ASNT3-16044
Quantité disponible : 1 disponible(s)
Image d'archives
Spectral Theory
Vendeur : Basi6 International, Irving, TX, Etats-Unis
Évaluation du vendeur 5 sur 5 étoiles
Etat : Brand New. New. US edition. Expediting shipping for all USA and Europe orders excluding PO Box. Excellent Customer Service. N° de réf. du vendeur ABEJUNE24-389161
Quantité disponible : 3 disponible(s)
Image d'archives
SPECTRAL THEORY
Vendeur : Basi6 International, Irving, TX, Etats-Unis
Évaluation du vendeur 5 sur 5 étoiles
Etat : Brand New. New. US edition. Expediting shipping for all USA and Europe orders excluding PO Box. Excellent Customer Service. N° de réf. du vendeur ABEJUNE24-325273
Quantité disponible : 5 disponible(s)
Image d'archives
Spectral Theory: Basic Concepts and Applications (Graduate Texts in Mathematics, 284)
Vendeur : ALLBOOKS1, Direk, SA, Australie
Évaluation du vendeur 5 sur 5 étoiles
N° de réf. du vendeur SHUB389161
Quantité disponible : 1 disponible(s)
Image d'archives
Spectral Theory: Basic Concepts and Applications (Graduate Texts in Mathematics, 284)
Vendeur : ALLBOOKS1, Direk, SA, Australie
Évaluation du vendeur 5 sur 5 étoiles
N° de réf. du vendeur SHUB325273
Quantité disponible : 1 disponible(s)
Image d'archives
Spectral Theory: Basic Concepts and Applications (Graduate Texts in Mathematics, 284) 1st ed. 2020 Edition
Vendeur : Books Puddle, New York, NY, Etats-Unis
Évaluation du vendeur 4 sur 5 étoiles
Etat : New. N° de réf. du vendeur 26384653414
Quantité disponible : 4 disponible(s)
Image d'archives
SPECTRAL THEORY BASIC CONCEPTS AND APPLICATIONS (PB 2020)
Vendeur : Basi6 International, Irving, TX, Etats-Unis
Évaluation du vendeur 5 sur 5 étoiles
Etat : Brand New. New. US edition. Expediting shipping for all USA and Europe orders excluding PO Box. Excellent Customer Service. N° de réf. du vendeur ABEJUNE24-320661
Quantité disponible : 2 disponible(s)
Image d'archives
Spectral Theory: Basic Concepts and Applications (Graduate Texts in Mathematics, 284) 1st ed. 2020 Edition
Vendeur : Biblios, Frankfurt am main, HESSE, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Etat : New. N° de réf. du vendeur 18384653420
Quantité disponible : 4 disponible(s)