Book:Murray R. Spiegel/Mathematical Handbook of Formulas and Tables/Chapter 23

Definition of a Fourier Series

 * $23.1$, $23.2$: Fourier Series

Complex Form of Fourier Series

 * $23.3$, $23.4$: Fourier Series: Complex Form

Parseval's Identity

 * $23.5$: Parseval's Identity

Generalized Parseval Identity

 * $23.6$: Generalized Parseval's Identity

Special Fourier Series and their Graphs

 * $23.7$: Square Wave


 * $23.8$: Triangle Wave


 * $23.9$: Sawtooth Wave


 * $23.10$: Fourier Series/Half Sawtooth Wave


 * $23.11$: Fourier Series/Full Rectified Sine Wave


 * $23.12$: Fourier Series/Half Rectified Sine Wave


 * $23.13$: Half-Range Fourier Sine Series for Cosine over $0$ to $\pi$


 * $23.14$: Fourier Series/x squared over $-\pi$ to $\pi$


 * $23.15$: Half-Range Fourier Cosine Series for $x \paren {\pi - x}$ over $0$ to $\pi$


 * $23.16$: x by Pi minus x by Pi plus x over Minus Pi to Pi


 * $23.17$: 1 over Pi minus Alpha to Pi plus Alpha about Pi


 * $23.18$: Half-Range Fourier Sine Series for $x \paren {\pi - x}$ over $0$ to $\pi$

Miscellaneous Fourier Series

 * $23.19$: Sine of Non-Integer Multiple of $x$ over $0$ to $\pi$


 * $23.20$: Cosine of Non-Integer Multiple of $x$ over $0$ to $\pi$


 * $23.21$: Arctangent of a sin x over 1 minus a cos x


 * $23.22$: Log of 1 - 2 a cos x + a squared


 * $23.23$: Half Arctangent of 2 a sin x over 1 minus a squared


 * $23.24$: Half Arctangent of 2 a cos x over 1 minus a squared


 * $23.25$: e to Multiple of x


 * $23.26$: Hyperbolic Sine of Multiple of x


 * $23.27$: Hyperbolic Cosine of Multiple of x


 * $23.28$: Log of Sine of Half x


 * $23.29$: Log of Cosine of Half x


 * $23.30$: Pi Squared over 6 - Half Pi x + x squared over 4


 * $23.31$: 12 x by x - pi by x - 2 pi


 * $23.32$: Pi to the 4 over 90 - pi squared x squared over 12 + pi x cubed over 12 - x to the 4 over 48