Name: Spectral Theory: Basic Concepts and Applications (Graduate Texts in Mathematics) (en Inglés)
Price: 82390.00 CLP
Availability: InStock
Author: David Borthwick
ISBN: 9783030380014

portada Spectral Theory: Basic Concepts and Applications (Graduate Texts in Mathematics) (en Inglés)

Formato

Libro Físico

Editorial

Springer

Autor

David Borthwick

Año

2020

Idioma

Inglés

N° páginas

338

Encuadernación

Tapa Dura

ISBN13

9783030380014

N° edición

Categorías

Cálculo diferencial y ecuaciones

Spectral Theory: Basic Concepts and Applications (Graduate Texts in Mathematics) (en Inglés)

David Borthwick (Autor) · Springer · Tapa Dura

Libro Físico

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Origen: Reino Unido (Costos de importación incluídos en el precio)

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Reseña del libro "Spectral Theory: Basic Concepts and Applications (Graduate Texts in Mathematics) (en Inglés)"

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.