Functional Analysis (Cambridge Studies in Advanced Mathematics) - Softcover

Van Neerven, Jan

Softcover

ISBN 10: 100954246X ISBN 13: 9781009542463

Publisher: Cambridge University Press, 2024

Synopsis

This comprehensive introduction to functional analysis covers both the abstract theory and applications to spectral theory, the theory of partial differential equations, and quantum mechanics. It starts with the basic results of the subject and progresses towards a treatment of several advanced topics not commonly found in functional analysis textbooks, including Fredholm theory, form methods, boundary value problems, semigroup theory, trace formulas, and a mathematical treatment of states and observables in quantum mechanics. The book is accessible to graduate students with basic knowledge of topology, real and complex analysis, and measure theory. With carefully written out proofs, more than 300 problems, and appendices covering the prerequisites, this self-contained volume can be used as a text for various courses at the graduate level and as a reference text for researchers in the field.

About this title

About the Author

Jan van Neerven holds an Antoni van Leeuwenhoek professorship at Delft University of Technology. Author of four books and more than 100 peer-reviewed articles, he is a leading expert in functional analysis and operator theory and their applications in stochastic analysis and the theory of partial differential equations.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2024
• ISBN 10: 100954246X
• ISBN 13: 9781009542463
• Binding: Paperback
• Language: English
• Edition number: 1
• Number of pages: 728