Einar Hille Livres

The book presents a comprehensive exploration of functional analysis and semi-groups, reflecting the author's early interest in this evolving field. It includes a self-contained introduction to modern functional analysis, focusing on Banach spaces and algebras. The text is divided into three parts: foundational theory, one-parameter semi-groups, and applications to various analytical topics such as trigonometric series and stochastic theory. Acknowledgments highlight contributions from notable mathematicians, emphasizing collaborative efforts in its development.

This edition offers students a clearer understanding of calculus and insight into mathematics. It includes a wealth of rich problem sets which give relevance to calculus for students.