vi CONTENTS 



5. Equivalents of metric and British imperial weights and measures : 



( 1 ) Metric to imperial 8 



(2) Metric to imperial, multiples 9 



(3) Imperial to metric 10 



(4) Imperial to metric, multiples 11 



Mathematical Tables 



6. Derivatives and integrals 12 



7. Series : 3 



8. Mathematical constants 14 



9. Reciprocals, squares, cubes, square roots of natural numbers ... 15 



10. Logarithms [4-place, 1000-2000] 24 



11. " ["]..... 26 



12. Antilogarithms [4-place] 28 



13. " [ " , 0.9000-1.0000] 30 



14. Circular (trigonometric) functions [arguments (°, ')] .... 32 



15. " " " [ (radians)] ... 37 



16. Logarithmic factorials, n !, n — i to 100 40 



17. Hyperbolic functions 4 1 



18. Factorials [1 to 20] 47 



19. Exponential functions 48 



20. " " Values of c a ' 2 and e' 3 ' 2 and their logarithms. 54 



7T 7T 



— ' I - p 4 p 4 ^ ^ 



(( „ « « Vf u _Vjr « u u - 



.£.£. /? a Pa J«J 



^4 ^4 



23. 



<"'- " £— * 



[.r fractional | . . 56 



24. Least squares: Probability integral, argument hx 56 



25. " " " " "_ x/r 57 



26. " " Values of 0.6745 V i/(«- 1) 57 



27. " " " " 0.6745 V 1 /n{n- 1) 58 



28. " " " " 0.8453V 1 /«("-0 58 



29. " " " " 0.8453^ i/»V77^T> 58 



30. " (Formulae) 59 



31. Diffusion integral, inverse probability integral 60 



32. Exponential integral, Ei(x),\ (e~ u /u)du 62 



33. Gamma function, logarithms, n between 1 and 2 64 



34. Zonal spherical harmonics [first seven, = 0° to = 90°] 66 



35. Cylindrical harmonics, oth and 1 st orders [6-place values, x = o to 4] 68 



36. " " [4-place values, x — 4 to 15] 70 



37. (a) 1st 10 roots (R m ) of / (.r)=o; Ji(R m ) 70 



(6) " 15 " of J l{x) = £^p-=o 70 



Notes, general formulae of Bessel's functions 70 



