Introduction to functional analysis [Documento eletrónico] / by Christian Clason
Language: eng.Country: Switzerland, Swiss Confederation.Publication: Cham : Springer International Publishing, Birkhäuser, 2020Description: X, 170 p. : il.ISBN: 978-3-030-52784-6.Series: Compact Textbooks in MathematicsSubject - Topical Name: Functional analysis Online Resources:Click here to access onlineItem type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | |
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E-Books | Biblioteca NOVA FCT Online | Não Ficção | QA319.SPR FCT (Browse shelf(Opens below)) | 1 | Available | 96549 |
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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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