EAN: 9783030527839

COMPACT TEXTBOOKS IN MATHEMATICS INTRODUCTION...

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.

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