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Könyv Functional Analysis Joseph Muscat

Functional Analysis

An Introduction to Metric Spaces, Hilbert Spaces, and Banach Algebras

Szerző: Joseph Muscat
Nyelv: Angol
Kötés: Puha kötésű
Kiadó: Springer, Berlin
Elérhetőség: Beszállítói készleten
Küldés 5-8 napon belül
22 699 Ft
This textbook provides an introduction to functional analysis suitable for lecture courses to final...

Információk a könyvről

Szerző
Joseph Muscat
Nyelv
Angol
Kötés
Könyv - Puha kötésű
Kiadva
2023
oldal
456
EAN
9783031275364
Enbook ID
42849740
Kiadó
Springer, Berlin
Súly
728
Méretek
155 x 235

Teljes leírás

This textbook provides an introduction to functional analysis suitable for lecture courses to final year undergraduates or beginning graduates.Starting from the very basics of metric spaces, the book adopts a self-contained approach to Banach spaces and operator theory that covers the main topics, including the spectral theorem, the Gelfand transform, and Banach algebras. Various applications, such as least squares approximation, inverse problems, and Tikhonov regularization, illustrate the theory. Over 1000 worked examples and exercises of varying difficulty present the reader with ample material for reflection.This new edition of Functional Analysis has been completely revised and corrected, with many passages rewritten for clarity, numerous arguments simplified, and a good amount of new material added, including new examples and exercises. The prerequisites, however, remain the same with only knowledge of linear algebra and real analysis of a single variable assumed of the reader.

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