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Introduction to Functional Analysis

Clason, Christian.

Introduction to Functional Analysis

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Introduction to Functional Analysis/ by Christian Clason.
作者:	Clason, Christian.
面頁冊數:	X, 170 p. 1 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Functional Analysis. -
電子資源:	https://doi.org/10.1007/978-3-030-52784-6
ISBN:	9783030527846

Introduction to Functional Analysis
Clason, Christian.

Introduction to Functional Analysis[electronic resource] /by Christian Clason. - 1st ed. 2020. - X, 170 p. 1 illus.online resource. - Compact Textbooks in Mathematics,2296-4568. - Compact Textbooks in Mathematics,.

Topological basics -- Linear operators between normed spaces -- Dual spaces and weak convergence -- Compact operators between Banach spaces -- Hilbert spaces.

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.

ISBN: 9783030527846

Standard No.: 10.1007/978-3-030-52784-6doiSubjects--Topical Terms:

672166
Functional Analysis.

LC Class. No.: QA319-329.9

Dewey Class. No.: 515.7

Introduction to Functional Analysis
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