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 ...
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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, Schr???dinger 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.
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Add this copy of Spectral Theory Basic Concepts and Applications (Hb to cart. $54.31, good condition, Sold by Books International rated 3.0 out of 5 stars, ships from Toronto, ON, CANADA, published 2020 by Springer Nature Switzerland AG.
Add this copy of Spectral Theory Basic Concepts and Applications (Pb to cart. $54.31, fair condition, Sold by Books International rated 3.0 out of 5 stars, ships from Toronto, ON, CANADA, published 2021 by Springer.
Add this copy of Spectral Theory to cart. $55.39, new condition, Sold by discount_scientific_books rated 5.0 out of 5 stars, ships from Sterling Heights, MI, UNITED STATES, published 2021 by Springer.
Add this copy of Spectral Theory: Basic Concepts and Applications to cart. $60.00, very good condition, Sold by Moe's Books rated 5.0 out of 5 stars, ships from Berkeley, CA, UNITED STATES, published 2020 by Springer.
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Seller's Description:
Very good. No jacket. Volume 284 only. Scratch mark on front cover, not affecting legibility. Spine is lightly sunned, but text is legible. Binding is tight and pages are clean and unmarked.
