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Basics of nonlinear optimization = around the Weierstrass theorem /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Basics of nonlinear optimization/ by Marek Galewski.
其他題名:	around the Weierstrass theorem /
作者:	Galewski, Marek.
出版者:	Cham :Springer Nature Switzerland : : 2024.,
面頁冊數:	x, 168 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer Nature eBook
標題:	Functional analysis. -
電子資源:	https://doi.org/10.1007/978-3-031-77160-6
ISBN:	9783031771606

Basics of nonlinear optimization = around the Weierstrass theorem /
Galewski, Marek.

Basics of nonlinear optimizationaround the Weierstrass theorem /[electronic resource] :by Marek Galewski. - Cham :Springer Nature Switzerland :2024. - x, 168 p. :ill. (some col.), digital ;24 cm. - Compact textbooks in mathematics,2296-455X. - Compact textbooks in mathematics..

- 1. The Weierstrass Theorem - the origin of optimization -- 2. Some basics from functional analysis and function spaces -- 3. Differentiation in infinite dimensional spaces -- 4. On the Weierstrass Theorem in infinite dimensional spaces -- 5. Applications to multiple integrals.

This textbook gives an introduction to optimization tools which arise around the Weierstrass theorem about the minimum of a lower semicontinuous function. Starting from a Euclidean space, it moves further into the infinite dimensional setting towards the direct variational method, going through differentiation and introducing relevant background information on the way. Exercises accompany the text and include observations, remarks, and examples that help understand the presented material. Although some basic knowledge of functional analysis is assumed, covering Hilbert and Banach spaces and the Lebesgue integration, the required background material is covered throughout the text, and literature suggestions are provided. For less experienced readers, a summary of some optimization techniques is also included. The book will appeal to both students and instructors in specialized courses on optimization, wishing to learn more about variational methods.

ISBN: 9783031771606

Standard No.: 10.1007/978-3-031-77160-6doiSubjects--Topical Terms:

527706
Functional analysis.

LC Class. No.: QA320

Dewey Class. No.: 515.7

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