Book:Christopher Clapham/The Concise Oxford Dictionary of Mathematics/Fifth Edition/Errata

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Errata for 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.)

Definition:Acre

acre
In the metric system a hectare is approximately $0.4$ acre.


Expansion Theorem for Determinants

cofactor
(i) The expression $a_{i1} A_{i1} + a_{i2} + \cdots + a_{in} A_{in}$ has the same value for any $i$, and is the definition of $\det \mathbf A$, the determinant of $\mathbf A$.


Cosine of Sum

compound angle formulae (in trigonometry)
$\map \cos {a \pm b} = \cos a \cos b \pm \sin a \sin b$


Equiangular Spiral

equiangular spiral
The equation can be written $r = k \theta + b$


Transversable Graph

transversable graph


Norbert Wiener

Wiener, Norbert (1899-1969)


Edward Witten

Witten, Edward (1957-  )


Primitive of $\dfrac 1 {\sqrt {a^2 + x^2} }$

Appendix $7$: Integrals
$\ds \int \frac {\d x} {\sqrt {a^2 + x^2} } = \dfrac 1 a \tan^{-1} {\frac x a}$


Primitive of $\sqrt {a^2 - x^2}$

Appendix $7$: Integrals
$\ds \int \sqrt {x^2 + x^2} \rd x = \frac 1 2 x \sqrt {x^2 + x^2} + \frac 1 2 a^2 \sin^{-1} \frac x a$