Introduction to Functional Analysis

von Christian Clason

183 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

In this second edition, corrections and improvements have been made. In addition, study review questions have been added to each chapter, providing readers with a tool for self-assessment.

• Reihe: Compact Textbooks in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik Mathematische Analysis, allgemein Funktionalanalysis und Abwandlungen
• ISBN: 9783032137180
• Sprache: Englisch
• Erscheinungsdatum: 28.11.2026
• Größe: 23.5 x 15.5 cm
• Verlag: Springer International Publishing