Kooperativer Bibliotheksverbund

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Format: 1 online resource (xviii, 347 pages)

ISBN: 9781119426516 , 1119426510 , 9781119426530 , 1119426537

Series Statement: Mathematics and statistics series (ISTE) volume 1

Content: This book is the first of a set dedicated to the mathematical tools used in partial differential equations derived from physics. Its focus is on normed or semi-normed vector spaces, including the spaces of Banach, Fréchet and Hilbert, with new developments on Neumann spaces, but also on extractable spaces. The author presents the main properties of these spaces, which are useful for the construction of Lebesgue and Sobolev distributions with real or vector values and for solving partial differential equations. Differential calculus is also extended to semi-normed spaces. Simple methods, semi-norms, sequential properties and others are discussed, making these tools accessible to the greatest number of students - doctoral students, postgraduate students - engineers and researchers without restricting or generalizing the results.

Note: Introduction -- , Familiarization with semi-normed spaces -- , Notations -- , Prerequisites -- , Semi-normed spaces ; , Semi-normed spaces -- , Comparison of semi-normed spaces -- , Banach, Fréchet and Neumann spaces -- , Hilbert spaces -- , Product, intersection, sum and quotient of spaces -- , Continuous mappings ; , Continuous mappings -- , Images of sets under continuous mappings -- , Properties of mappings in metrizable spaces -- , Extension of mappings, equicontinuity -- , Compactness in mapping spaces -- , Spaces of linear or multilinear mappings -- , Weak topologies ; , Duality -- , Dual of a subspace -- , Weak topology -- , Properties of sets for the weak topology -- , Reflexivity -- , Extractable spaces -- , Differential calculus ; , Differentiable mappings -- , Differentiation of multivariable mappings -- , Successive differentiations -- , Derivation of functions of one real variable.

Additional Edition: Print version: Simon, Jacques C. H. (Jacques Charles Henri), 1945- Banach, Fréchet, Hilbert and Neumann spaces. London : John Wiley & Sons, Incorporated, ©2017 ISBN 9781786300096

Language: English

Keywords: Electronic books. ; Electronic books. ; Electronic books.

DOI: 10.1002/9781119426516

URL: https://onlinelibrary.wiley.com/doi/book/10.1002/9781119426516

URL: https://onlinelibrary.wiley.com/doi/book/10.1002/9781119426516

URL: https://onlinelibrary.wiley.com/doi/book/10.1002/9781119426516

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Format: 1 online resource (367 pages) : , illustrations.

ISBN: 9781119426530 (e-book)

Series Statement: Analysis for PDEs Set

Additional Edition: Print version: Simon, Jacques. Banach, Frechet, Hilbert and Neumann spaces. London, England ; Hoboken, New Jersey : ISTE ; Wiley, c2017 ISBN 9781786300096

Language: English

Keywords: Electronic books.

URL: Click to View

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Format: xviii, 339 Seiten.

ISBN: 978-1-78630-009-6

Series Statement: Mathematics and statistics series. Analysis for PDEs set Volume 1

Language: English

Subjects: Mathematics