Saxe K. Beginning Functional Analysis

Springer, 2002. — 197 p. — Series: Undergraduate Texts in Mathematics OCR
ISBN10: 0387952241 ISBN13: 978-0387952246.The unifying approach of functional analysis is to view functions as points in abstract vector space and the differential and integral operators as linear transformations on these spaces. The author's goal is to present the basics of functional analysis in a way that makes them comprehensible to a student who has completed courses in linear algebra and real analysis, and to develop the topics in their historical contexts.