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]

References

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

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