Functional Analysis

This book provides a comprehensive introduction to functional analysis, covering abstract theory and applications to spectral theory, partial differential equations, and quantum mechanics. It is accessible to graduate students with basic knowledge of topology, real and complex analysis, and measure theory and includes carefully written out proofs, more than 300 problems, and appendices covering prerequisites.

Format: Hardback
Length: 650 pages
Publication date: 07 July 2022
Publisher: Cambridge University Press

This extensive introduction to functional analysis encompasses both the abstract theory and its practical applications to spectral theory, the theory of partial differential equations, and quantum mechanics. It begins with the fundamental principles of the subject and gradually progresses to cover various advanced topics that are typically not covered in standard functional analysis textbooks. These include Fredholm theory, form methods, boundary value problems, semigroup theory, trace formulas, and a mathematical approach to states and observables in quantum mechanics. The book is designed to be accessible to graduate students with a solid foundation in topology, real and complex analysis, and measure theory. It features carefully written proofs, over 300 problems, and appendices that provide prerequisites coverage. This self-contained volume serves as a valuable text for various graduate-level courses and serves as a reference resource for researchers in the field.

Weight: 1229g
ISBN-13: 9781009232470