Description
Book SynopsisOriginally published in 1954, the purpose of this book was to provide a set of practical exercises for young engineers wishing to apply mathematical principles to problems confronting them in the workshop. The text was designed primarily for use in the Technical Secondary School, the County College, and the Works Training School. It will be of value to anyone with an interest in the development of engineering and educational practice.
Table of ContentsPreface; Foreword; 1. Locomotives: lengths and weights; 2. Fractions: addition and subtraction; 3. Fractions: multiplication and division; 4. Fractions: miscellaneous problems; 5. Decimals: addition and subtraction; 6. Decimals: multiplication and division; 7. Decimals: conversion to engineering fraction; 8. Spacing of rivets and holes; 9. Algebra: generalized addition; 10. Algebra: generalized subtraction; 11. Algebra: generalized multiplication; 12. Algebra: generalized division; 13. Algebra: symbols, addition; 14. Algebra: symbols, subtraction; 15. Algebra: symbols, multiplication; 16. Algebra: polynomials and problems; 17. Algebra: symbols, division; 18. Algebra: simple equations; 19. Algebra: equations, fraction; 20. Algebra: equations, fractions brackets; 21. Algebra: harder equations; 22. Algebra: simple literal equations; 23. Algebra: problems on equations; 24. Algebra: substitution (positive numbers); 25. Algebra: substitution (negative numbers); 26. Formula manipulation and substitution; 27. Harder formula manipulation; 28. Square root: arithmetical; 29. Square root and squares from tables; 30. The theorem of Pythagoras: simple problems; 31. The theorem of Pythagoras: practical applications; 32. Logarithms: characteristics, use of tables; 33. Logarithms: multiplication and division (numbers greater than 1); 34. Logarithms: manipulation of negative characteristics; 35. Logarithms: multiplication and division (numbers less than 1); 36. Logarithms: powers and roots; 37. Logarithms: miscellaneous problems; 38. Proportion: speed, time and revolutions; 39. Mensuration: rectangle and square; 40. Mensuration: area of sections, weights per foot run; 41. Mensuration: rectangular solid; 42. Mensuration: triangle and triangular prism; 43. Mensuration: trapezium; 44. Mensuration: circle and annulus; 45. Mensuration: heating surface of tubes, volume and weight of bars and tubes; 46. Mensuration: capacity and rate of flow of water in pipes; 47. Mensuration: miscellaneous problems; 48. Mensuration: cone, frustum, sphere; 49. Mensuration: arcs, sectors, segments; 50. Trigonometry: sine, cosine and tangent; 51. Trigonometry: use of tables; 52. Trigonometry: simple problems; 53. Trigonometry: workshop problems; 54. Trigonometry: miscellaneous problems; Answers; Index.
