Produktbild: A Primer on Fourier Series
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A Primer on Fourier Series

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Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

01.10.2026

Abbildungen

172 black & white and colour figures

Verlag

Oxford Academic

Seitenzahl

432

Maße (L/B)

24.6/18.9 cm

Sprache

Englisch

ISBN

978-0-19-791704-6

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

01.10.2026

Abbildungen

172 black & white and colour figures

Verlag

Oxford Academic

Seitenzahl

432

Maße (L/B)

24.6/18.9 cm

Sprache

Englisch

ISBN

978-0-19-791704-6

Herstelleradresse

Libri GmbH
Europaallee 1
36244 Bad Hersfeld
DE

Email: gpsr@libri.de

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  • Produktbild: A Primer on Fourier Series
    • Where to start

    • -

    • 1: Fourier Series: Development of the Theory

    • 1.1 Periodic functions

    • 1.2 How to "optimally" approximate periodic functions

    • 1.3 Some further observations in L²((0, 1))

    • 1.4 Decay of Fourier coefficients

    • 1.5 The quest for convergence

    • 1.6 Pointwise convergence of Fourier Series "all in one breath"

    • 1.7 Pointwise convergence of Fourier Series: a refined version

    • 1.8 Uniqueness results

    • 1.9 More on the decay of Fourier coefficients

    • 1.10 Uniform convergence results

    • 1.11 Convergence in L²((0, 1))

    • 1.12 Convergence in Lp((0, 1))

    • 1.13 Averaging procedures for Fourier Series

    • 1.14 Persistent overshooting phenomena

    • 1.15 Convergence issues

    • 1.16 Functions of arbitrary periods

    • 1.17 Fourier Series in any dimension

    • 2: Fourier Series: Applications

    • 2.1 The old-fashioned epicycle theory

    • 2.2 Does anyone need a computer?

    • 2.3 Predicting tides

    • 2.4 Partial differential equations

    • 2.5 Fourier's cellar

    • 2.6 The Dirichlet problem on the two-dimensional disk

    • 2.7 The Dirichlet problem on a square and the behaviour near corners

    • 2.8 Calculating the exact value of a series

    • 2.9 Number theory

    • 2.10 Inequalities of analytic flavour

    • 2.11 Inequalities of geometric flavor

    • 2.12 The Weierstrass Approximation Theorem

    • 2.13 The Radon Transform

    • 2.14 Filters

    • 2.15 Edge detection

    • 2.16 Denoising

    • 2.17 Who listens to the radio?

    • 2.18 Overdrives, clipping, distortion, and ringing artifacts

    • 2.19 Linear motions on tori

    • 2.20 Weyl's Equidistribution Theorem

    • 2.21 Minkowski's Theorem on convex sets

    • 2.22 The Central Limit Theorem

    • -

    • What Comes Next?

    • Appendix A - One more example confirming Theorem 1.15.1

    • Solutions to selected exercises