MathOverflow - Recommended Books on Functional Analysis
A curated list of recommended books on functional analysis from MathOverflow, a Q&A platform for professional mathematicians.
Functional Analysis
Dive into the world of functional analysis with this comprehensive guide covering Hilbert spaces, Fredholm theory, and spectral theory.
Functional Analysis, Sobolev Spaces and Partial Differential Equations
A comprehensive textbook bridging functional analysis and partial differential equations, packed with problems and exercises for a deeper un…
Elementary Functional Analysis
Dive into the fundamental structures of mathematical analysis with this comprehensive introductory text, covering everything from linear spa…
Introductory Functional Analysis with Applications
A comprehensive guide to functional analysis, blending theoretical depth with practical applications to equip students and professionals wit…
Notes on Functional Analysis
A concise and rigorous guide to functional analysis, designed for advanced students and educators.
Principles of functional analysis
An accessible introduction to functional analysis, perfect for students and researchers, blending theoretical depth with practical applicati…
Analysis Now
A concise yet comprehensive guide to modern analysis, perfect for graduate students and researchers needing a quick reference to key concept…
Funktionalanalysis
A comprehensive and accessible introduction to functional analysis, covering canonical topics and beyond, with over 200 exercises and histor…
A course in functional analysis
An engaging and lucid introduction to functional analysis, starting with the particular and building to the general, complete with numerous …
Fourier Analysis
Dive into the captivating world of Fourier analysis with this engaging exploration of its ideas, techniques, and elegant results, along with…
Functional Analysis and Infinite-Dimensional Geometry
A comprehensive introduction to functional analysis and Banach space theory, designed for graduate students and researchers.
Lectures and Exercises on Functional Analysis
A unique textbook blending functional analysis with category theory, featuring extensive examples and exercises for a deep understanding of …
Essential Results of Functional Analysis
Dive into the fundamental ideas and theorems of functional analysis with this concise yet comprehensive guide, perfect for graduate students…
Linear Functional Analysis
A clear and comprehensive introduction to linear functional analysis, exploring its foundational structures and applications with clarity an…
Apuntes incompletos de análisis funcional
Dive into the fascinating world of functional analysis with this comprehensive guide tailored for advanced mathematics students.
This list is compiled from a MathOverflow thread where mathematicians recommend books on functional analysis. The thread includes a variety of suggestions suitable for different levels of understanding and interests within the field. The recommendations range from classic texts to more modern works, covering a broad spectrum of topics in functional analysis. This list is particularly useful for students and researchers looking to deepen their knowledge in functional analysis, as it provides a diverse set of resources that cater to various learning styles and preferences. The books recommended are highly regarded within the mathematical community and have been vetted by experts in the field.
Source: https://mathoverflow.net/questions/72419/a-good-book-of-functional-analysis