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＜電子ブック＞
Functional Analysis for the Applied Sciences / by Gheorghe Moroşanu
(Universitext. ISSN:21916675)

版	1st ed. 2019.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2019
大きさ	XII, 432 p. 2 illus : online resource
著者標目	*Moroşanu, Gheorghe author SpringerLink (Online service)
件　名	LCSH:Functional analysis LCSH:Differential equations LCSH:Integral equations LCSH:Algebras, Linear FREE:Functional Analysis FREE:Differential Equations FREE:Integral Equations FREE:Linear Algebra
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-030-27153-4

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