2. Fouier Series

  1. Richard A. Bernatz

Published Online: 18 AUG 2010

DOI: 10.1002/9780470651384.ch2

Fourier Series and Numerical Methods for Partial Differential Equations

Fourier Series and Numerical Methods for Partial Differential Equations

How to Cite

Bernatz, R. A. (2010) Fouier Series, in Fourier Series and Numerical Methods for Partial Differential Equations, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470651384.ch2

Publication History

  1. Published Online: 18 AUG 2010
  2. Published Print: 6 JUL 2010

ISBN Information

Print ISBN: 9780470617960

Online ISBN: 9780470651384

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Keywords:

  • vector spaces;
  • piecewise continuous functions;
  • Hilbert spaces;
  • fourier sine series;
  • Bessel's inequality

Summary

This chapter contains sections titled:

  • Vector Spaces

  • The Integral as an Inner Product

  • Principle of Superposition

  • General Fourier Series

  • Fourier Sine Series on (0, c)

  • Fourier Cosine Series on (0, c)

  • Fourier Series on (−C,C)

  • Best Approximation

  • Bessel's Inequality

  • Piecewise Smooth Functions

  • Fourier Series Convergence

  • 2C-Periodic Functions

  • Concluding Remarks