Vi CONTENTS. 



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



(1) Metric to imperial .................. 8 



(2) Multiples, metric to imperial ............. 9 



(3) Imperial to metric .................. 10 



(4) Multiples, imperial to metric ............. 1 1 



MATHEMATICAL TABLES 



6. Derivatives and integrals .................... 12 



7. Series ............................ 13 



8. Mathematical constants .................... 14 



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



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



11. Logarithms, 4-place . . ..................... 26 



12. Antilogarithms, 4-place ....... 



13. Antilogarithms, 4-place, 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 . . . . .................. 41 



18. Factorials, i to 20 ........ ............... 47 



19. Exponential functions ................ ..... 48 



20. Values of e* 2 and e~** and their logarithms ............ 54 



21. " " V_" e -r " " ........ .- 55 



22. " " /?* e ~ v ^ " ............ 55 



23. " " t* " e-' " " " , x fractional ....... 56 



24. Least squares: probability integral, argument hx ......... 56 



25- " " _ "_ */r ......... 57 



26. values of 0.6745 \/i/(n i) ............ 57 



27. " " 0.6745 Vi/n^^ ........... 58 



28. " " 0.8453 Vi/n(n - i) . . .......... 58 



29- " " 0.8453 {i/V- 1 1 ........... 58 



30. formulae .................... 59 



31. Inverse probability integral, diffusion integral ........... 60 



32. Logarithms of gamma function, n between i and 2 ......... 62 



33. Values for the first seven. zonal harmonics, 9 = o to 6 = 90 . . . . 64 



34. Cylindrical harmonics, oth and i st orders, x = o to 3. 5, 6-place. ... 66 

 35- " x = 4 to 15, 4-place .... 68 

 36. (a) ist ten roots cylindrical harmonic of zeroth order = o ...... 68 



(b) " fifteen " " " ' first " =o ...... 68 



Notes, general formulae of Bessel's functions ........... 68 



37. 



Values f or I * (i - sin 2 6 sin 2 $) =*=*(/$; argument 6; also logs .... 69 



*J o 



38. Moments of inertia, radii of gyration, corresponding weights .... 70 



39. International atomic weights, valencies .............. 71 



