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.

Banach, Fréchet, Hilbert and Neumann Spaces

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£138.95

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Hardback by Jacques Simon

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This book is the first of a set dedicated to the mathematical tools used in partial differential equations derived from... Read more

    Publisher: ISTE Ltd and John Wiley & Sons Inc
    Publication Date: 23/05/2017
    ISBN13: 9781786300096, 978-1786300096
    ISBN10: 1786300095

    Number of Pages: 368

    Non Fiction , Mathematics & Science , Education

    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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