Vi CONTENTS. 



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



(i) Metric to imperial 8 



(2) Multiples, metric to imperial 9 



(3) Imperial to metric 10 



(4) Multiples, imperial to metric 11 



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 

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



11. Logarithms, 4-place 26 



12. Antilogarithms, 4-place 28 



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^^ and e~=^ and their logarithms 54 



21. g4_ e 4_ 55 



22. e 4"^ e 4^ 55 



23. " " e^ " e-^ " " " , X fractional 56 



24. Least squares: probabihty integral, argument hx 56 



25. " " ^ ^Ir 57 



26. values of 0.6745 V'i/(w — i) 57 



27. " " 0.6745 Vi/w(w - i) 58 



28. " " 0.8453 Vi/^(^^^ 58 



29. '' " 0.8453 {i/wV«- 1 1 58 



30. formulae 59 



31. Inverse probabihty integral, diflfusion integral 60 



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



33. Values for the first seven zonal harmonics, 9 = 0° to © = 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 = 68 



(6) " fifteen " " " " first " = o 68 



Notes, general formulae of Bessel's functions 68 



37. Values for I 2" (i _ sin2esin2$)=^M$; argument 9; also logs .... 69 



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



39. International atomic weights, valencies 71 



