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Introduction to functional analysis

Clason, Christian.

Introduction to functional analysis

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Introduction to functional analysisby Christian Clason.
作者:	Clason, Christian.
出版者:	Cham :Springer International Publishing :2020.
面頁冊數:	x, 170 p. :ill., digital ;24 cm.
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$q(electronic bk.)

Introduction to functional analysis
Clason, Christian.

Introduction to functional analysis[electronic resource] /by Christian Clason. - Cham :Springer International Publishing :2020. - x, 170 p. :ill., digital ;24 cm. - 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$q(electronic bk.)

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

200585
Functional analysis.

LC Class. No.: QA320

Dewey Class. No.: 515.7

Introduction to functional analysis
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520 $a 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.
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