Johdatus funktionaalianalyysiin

TL;DR

This book provides an accessible introduction to functional analysis, covering foundational topics like set theory, linear algebra, topology, and topological vector spaces, suitable for readers with high school mathematics background.

Contribution

It offers an introductory, accessible presentation of functional analysis concepts, integrating set theory, linear algebra, and topology for beginners.

Findings

Introduces set theoretical foundations of mathematics

Explains basic theories of linear algebra and topology

Covers distributions, measure theory, and function spaces

Abstract

This book concentrates on functional analysis. The text is written so that it can be followed on the basis of high school mathematics. The book introduces the set theoretical foundations of mathematics, the basic theories of linear algebra and topology, and the theory of topological vector spaces. Distributions, measure theory, and some common spaces of complex-valued functions of real variables are handled, too.