Book:Milton Abramowitz/Handbook of Mathematical Functions/Errata

Errata for 1964: Milton Abramowitz and Irene A. Stegun: Handbook of Mathematical Functions

Definition of Ampere

$2$. Physical Constants and Conversion Factors:

The SI unit of electric current is the ampere defined by the equation $2 \Gamma_m I_1 I_2 / 4 \pi = F$ giving the force in vacuo per unit length between two infinitely long parallel conductors of infinitesimal cross-section.

Primitive of $\frac 1 {\sqrt {\paren {a x + b} \paren {p x + q} } }$: $a p > 0$

$3$: Elementary Analytic Methods: $3.3$ Rules for Differentiation and Integration: Integrals of Irrational Algebraic Functions: $3.3.28$:

$\ds \int \frac {\d x} {\sqbrk {\paren {a + b x} \paren {c + d x} }^{1/2} } = \dfrac 2 {\paren {b d}^{1/2} } \ln \size {\sqbrk {b d \paren {a + b x} }^{1/2} + \sqbrk {b \paren {c + d x} }^{1/2} } + C$

Definition:Argument of Complex Number

$3$: Elementary Analytic Methods: $3.7$ Complex Numbers and Functions: Polar Form: $3.7.4$: Argument:

$\arg z = \map \arctan {y / x} = \theta$