Functional Analysis Tools for Practical Use in Sciences and Engineering
de Moura, Carlos A.
ISBN 10: 3031106008 ISBN 13: 9783031106002
Verlag: Springer, 2023
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The book has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. Bestandsnummer des Verkäufers GOR014037516
Inhaltsangabe:
This textbook describes selected topics in functional analysis as powerful tools of immediate use in many fields within applied mathematics, physics and engineering. It follows a very reader-friendly structure, with the presentation and the level of exposition especially tailored to those who need functional analysis but don't have a strong background in this branch of mathematics. For every tool, this work emphasizes the motivation, the justification for the choices made, and the right way to employ the techniques. Proofs appear only when necessary for the safe use of the results.
The book gently starts with a road map to guide reading. A subsequent chapter recalls definitions and notation for abstract spaces and some function spaces, while Chapter 3 enters dual spaces. Tools from Chapters 2 and 3 find use in Chapter 4, which introduces distributions. The Linear Functional Analysis basic triplet makes up Chapter 5, followed by Chapter 6, which introduces the concept of compactness. Chapter 7 brings a generalization of the concept of derivative for functions defined in normed spaces, while Chapter 8 discusses basic results about Hilbert spaces that are paramount to numerical approximations. The last chapter brings remarks to recent bibliographical items. Elementary examples included throughout the chapters foster understanding and self-study.
By making key, complex topics more accessible, this book serves as a valuable resource for researchers, students, and practitioners alike that need to rely on solid functional analysis but don't need to delve deep into the underlying theory.
Über die Autorin bzw. den Autor: Carlos A. de Moura is a retired, now Visiting Professor for the State University of Rio de Janeiro–UERJ, Brazil, at the graduate programs of Computational Sciences and Mechanical Engineering. He got a PhD in Applied Mathematics from the New York University–Courant Institute, USA (1976), under the supervision of Peter D. Lax and Jerome A. Goldstein, with a Master’s degree from IMPA (1969), besides post-doc studies in France at the INRIA (1990-92) and the Collège de France (1992). Dr. de Moura has supervised Master and PhD Students in Mathematics, Computer Sciences, Engineering and Geosciences.
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Titel: Functional Analysis Tools for Practical Use ...
Verlag: Springer
Erscheinungsdatum: 2023
Einband: Paperback
Zustand: Very Good
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Functional Analysis Tools for Practical Use in Sciences and Engineering
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Taschenbuch. Zustand: Neu. Functional Analysis Tools for Practical Use in Sciences and Engineering | Carlos A. De Moura | Taschenbuch | xvii | Englisch | 2023 | Springer | EAN 9783031106002 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Artikel-Nr. 127803887
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Functional Analysis Tools for Practical Use in Sciences and Engineering
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Springer International Publishing, 2023
ISBN 10: 3031106008
ISBN 13: 9783031106002
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This textbook describes selected topics in functional analysis as powerful tools of immediate use in many fields within applied mathematics, physics and engineering. It follows a very reader-friendly structure, with the presentation and the level of exposition especially tailored to those who need functional analysis but don't have a strong background in this branch of mathematics. For every tool, this work emphasizes the motivation, the justification for the choices made, and the right way to employ the techniques. Proofs appear only when necessary for the safe use of the results.The book gently starts with a road map to guide reading. A subsequent chapter recalls definitions and notation for abstract spaces and some function spaces, while Chapter 3 enters dual spaces. Tools from Chapters 2 and 3 find use in Chapter 4, which introduces distributions. The Linear Functional Analysis basic triplet makes up Chapter 5, followed by Chapter 6, whichintroduces the concept of compactness. Chapter 7 brings a generalization of the concept of derivative for functions defined in normed spaces, while Chapter 8 discusses basic results about Hilbert spaces that are paramount to numerical approximations. The last chapter brings remarks to recent bibliographical items. Elementary examples included throughout the chapters foster understanding and self-study.By making key, complex topics more accessible, this book serves as a valuable resource for researchers, students, and practitioners alike that need to rely on solid functional analysis but don't need to delve deep into the underlying theory. Artikel-Nr. 9783031106002
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Functional Analysis Tools for Practical Use in Sciences and Engineering
ISBN 10: 3031106008
ISBN 13: 9783031106002
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Taschenbuch. Zustand: Neu. Neuware -This textbook describes selected topics in functional analysis as powerful tools of immediate use in many fields within applied mathematics, physics and engineering. It follows a very reader-friendly structure, with the presentation and the level of exposition especially tailored to those who need functional analysis but don¿t have a strong background in this branch of mathematics. For every tool, this work emphasizes the motivation, the justification for the choices made, and the right way to employ the techniques. Proofs appear only when necessary for the safe use of the results.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 232 pp. Englisch. Artikel-Nr. 9783031106002
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Paperback. Zustand: Brand New. 231 pages. 9.26x6.10x0.49 inches. In Stock. Artikel-Nr. x-3031106008
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