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Functional Analysis for the Applied Sciences

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Functional Analysis for the Applied Sciences/ by Gheorghe Moroşanu.
作者:	Moroşanu, Gheorghe.
面頁冊數:	XII, 432 p. 2 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Functional analysis. -
電子資源:	https://doi.org/10.1007/978-3-030-27153-4
ISBN:	9783030271534

Functional Analysis for the Applied Sciences
Moroşanu, Gheorghe.

Functional Analysis for the Applied Sciences[electronic resource] /by Gheorghe Moroşanu. - 1st ed. 2019. - XII, 432 p. 2 illus.online resource. - Universitext,0172-5939. - Universitext,.

1. Introduction -- 2. Metric Spaces -- 3. The Lebesgue Integral and Lp Spaces -- 4. Continuous Linear Operators and Functionals -- 5. Distributions, Sobolev Spaces -- 6. Hilbert Spaces -- 7. Adjoint, Symmetric and Self-adjoint Linear Operators -- 8. Eigenvalues and Eigenvectors -- 9. Semigroups of Linear Operators -- 10. Solving Linear Evolution Equations by the Fourier Method -- 11. Integral Equations -- 12. Answers to Exercises -- Bibliography.

This advanced graduate textbook presents main results and techniques in Functional Analysis and uses them to explore other areas of mathematics and applications. Special attention is paid to creating appropriate frameworks towards solving significant problems involving diﬀerential and integral equations. Exercises at the end of each chapter help the reader to understand the richness of ideas and methods offered by Functional Analysis. Some of the exercises supplement theoretical material, while others relate to the real world. This textbook, with its friendly exposition, focuses on different problems in physics and other applied sciences and uniquely provides solutions to most of the exercises. The text is aimed toward graduate students and researchers in applied mathematics, physics, and neighboring fields of science.

ISBN: 9783030271534

Standard No.: 10.1007/978-3-030-27153-4doiSubjects--Topical Terms:

527706
Functional analysis.

LC Class. No.: QA319-329.9

Dewey Class. No.: 515.7

Functional Analysis for the Applied Sciences
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