Book:K. Weltner/Mathematics for Engineers and Scientists/Errata
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Errata for 1976: K. Weltner and W.J. Weber: Mathematics for Engineers and Scientists
$8$. Taylor Series and Power Series: Appendix: Table $8.2$: Power Series of Important Functions: Power Series Expansion for Real Area Hyperbolic Sine:
- $\sinh^{-1} x = \paren {\ln 2} x + \dfrac 1 {\paren {2 \times 2} x^2} - \dfrac {1 \times 3} {\paren {2 \times 4 \times 4} x^4} + \dfrac {1 \times 3 \times 5} {\paren {2 \times 4 \times 6 \times 6} x^6} + \cdots \quad \paren {\size x \ge 1}$
$8$. Taylor Series and Power Series: Appendix: Table $8.2$: Power Series of Important Functions: Power Series Expansion for Real Area Hyperbolic Cosine:
- $\cosh^{-1} x = \paren {\ln 2} x - \dfrac 1 {\paren {2 \times 2} x^2} - \dfrac {1 \times 3} {\paren {2 \times 4 \times 4} x^4} - \dfrac {1 \times 3 \times 5} {\paren {2 \times 4 \times 6 \times 6} x^6} - \cdots \quad \paren {x \ge 1}$