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Introduction to Functional Analysis.

Introduction to Functional Analysis. Second Edition 2026.

・ISBN 978-3-032-13718-0 paper EUR 44.99

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お気に入り
著者・編者Clason, Christian,
シリーズCompact Textbooks in Mathematics
出版社(Birkhauser, SZ)
出版年月2026
ページ数183 pp.
言語ENG
ニュース番号<M25-19592>

解説

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.