Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
|
Buy Now
Spectral Theory - Basic Concepts and Applications (Hardcover, 1st ed. 2020)
Loot Price: R1,518
Discovery Miles 15 180
You Save: R95
(6%)
|
|
Spectral Theory - Basic Concepts and Applications (Hardcover, 1st ed. 2020)
Series: Graduate Texts in Mathematics, 284
Expected to ship within 9 - 15 working days
|
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, Schroedinger 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.
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!
|
|
Email address subscribed successfully.
A activation email has been sent to you.
Please click the link in that email to activate your subscription.