Banach, Fréchet, Hilbert and Neumann Spaces 1st Edition
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Banach, Fréchet, Hilbert and Neumann Spaces 1st Edition

SKU: 9781119426530

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Additional information

Full Title

Banach, Fréchet, Hilbert and Neumann Spaces 1st Edition
Author(s)

Jacques Simon
Edition

1st Edition
ISBN

9781119426530, 9781786300096, 9781119426516
Publisher

Wiley-ISTE
Format

PDF and EPUB

Description

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.

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