Functional analysis

Functional analysis is a branch of mathematical analysis.Kantorovich, L. V., & Akilov, G. P. (1982). Functional Analysis Pergamon Press. University of Michigan.Deimling, K. (2010). Nonlinear functional analysis. Courier Corporation. This area emerged from the studies of differential equations (especially partial differential equationsBrezis, H. (2010). Functional Analysis, Sobolev Spaces and Partial Differential Equations. Springer Science & Business Media.). It has many applications in various fields.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. One of the famous use is numerical analysis.Collatz, L. (2014). Functional analysis and numerical mathematics. Academic PressComputational 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).
References

Further reading

 Other websites 

 Topics in Real and Functional Analysis by Gerald Teschl, University of Vienna.
 Lecture Notes on Functional Analysis by Yevgeny Vilensky, New York University.
 Lecture videos on functional analysis by Greg Morrow  from University of Colorado Colorado Springs

Category:Mathematical analysis
Category:Functions and mappings