Functional analysis

Functional analysis is a branch of mathematical analysis.^[1][2] This area emerged from the studies of differential equations (especially partial differential equations^[3]). It has many applications in various fields.^[4][5][6] One of the famous use is numerical analysis.^{[7][8][9][10]}

1. ↑ Kantorovich, L. V., & Akilov, G. P. (1982). Functional Analysis Pergamon Press. University of Michigan.
2. ↑ Deimling, K. (2010). Nonlinear functional analysis. Courier Corporation.
3. ↑ Brezis, H. (2010). Functional Analysis, Sobolev Spaces and Partial Differential Equations. Springer Science & Business Media.
4. ↑ Zeidler, E., Nonlinear Functional Analysis and Its Applications I-V. Springer Science & Business Media.
5. ↑ Zeidler, E. (2012). Applied functional analysis: main principles and their applications. Springer Science & Business Media.
6. ↑ Zeidler, E. (2012). Applied functional analysis: applications to mathematical physics. Springer Science & Business Media.
7. ↑ Collatz, L. (2014). Functional analysis and numerical mathematics. Academic Press
8. ↑ Computational Functional Analysis 2nd Edition, Ramon Moore & Michael Cloud (2007), Woodhead Publishing.
9. ↑ Lebedev, V. I. (2000). Functional analysis and computational mathematics. Moscow: Fizmatlit.
10. ↑ M. Nakao, M. Plum, Y. Watanabe (2019) Numerical Verification Methods and Computer-Assisted Proofs for Partial Differential Equations (Springer Series in Computational Mathematics).