Introduction to Functional Analysis
Christian Clason
Nov 2020 · Springer Nature
eBook
170
Pages
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About this eBook
Functional analysis has become one of the essential foundations of modern applied mathematics in the last decades, from the theory and numerical solution of differential equations, from optimization and probability theory to medical imaging and mathematical image processing.
This textbook offers a compact introduction to the theory and is designed to be used during one semester, fitting exactly 26 lectures of 90 minutes each. It ranges from the topological fundamentals recalled from basic lectures on real analysis to spectral theory in Hilbert spaces. Special attention is given to the central results on dual spaces and weak convergence.
About the author
Christian Clason is Professor at the Faculty of Mathematics of the University of Duisburg-Essen.
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