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Mathematics for Engineers : Fourier Series

By: Material type: TextTextSeries: Mathematics for engineers, 4Publication details: Harlow : Longman, 1995.Edition: 1stDescription: vi, 161pISBN:
  • 9780582239340
  • 0582239346
Subject(s): DDC classification:
  • 515.36 BOL
Contents:
1. Periodic waveforms: discussion of waveforms, harmonics and the addition of waveforms graphically.2. The Fourier series: introduction to the series, coefficients, functions of period 2. 3. Symmetry: determination of coefficients as a result of inspection for symmetry.4. Half-range series: functions defined over half a period, half range sine and cosine series.5. Exponential form: the exponential form of the Fourier series.6. Electric circuits: Application of complex waveforms to RLC circuits, power.7. Numerical harmonic analysis: trapezoidal rule, twelve-point analysis.8. The Fourier transform: basic introduction, Fourier integral, Fourier transform, inverse transform.
Summary: This book examines the principles of Fourier Series and gives a brief introduction to the Fourier transform. These principles are then applied to the study of electrical circuits and waveforms. A familiarity with basic calculating is assumed.
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Includes Index

1. Periodic waveforms: discussion of waveforms, harmonics and the addition of waveforms graphically.2. The Fourier series: introduction to the series, coefficients, functions of period 2. 3. Symmetry: determination of coefficients as a result of inspection for symmetry.4. Half-range series: functions defined over half a period, half range sine and cosine series.5. Exponential form: the exponential form of the Fourier series.6. Electric circuits: Application of complex waveforms to RLC circuits, power.7. Numerical harmonic analysis: trapezoidal rule, twelve-point analysis.8. The Fourier transform: basic introduction, Fourier integral, Fourier transform, inverse transform.

This book examines the principles of Fourier Series and gives a brief introduction to the Fourier transform. These principles are then applied to the study of electrical circuits and waveforms. A familiarity with basic calculating is assumed.

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