An Introduction to Engineering Mathematics

Preface; 1. Factors and multiples; vulgar fractions; regular solids; mensuration of rectangle and triangle; decimals; approximations and significant figures; revision exercises; 2. Ratio and proportion; inverse proportion; averages; percentages; 3. Powers and roots; 4. Symbols; algebraic sums; algebraic multiplication; algebraic division; rule of signs; brackets and symbolic expression; 5. Factors; 6. Simple equations; problems; change of subject; 7. Angles and angle measure; parallelism; triangles; angles of polygons; congruence of triangles; 8. Geometry and mensuration of quadrilaterals and polygons; theorem of Pythagoras; 9. Logarithms; 10. Mensuration of the circle, sector, annulus; 11. Use of squared paper; proportion by graphs; 12. Simultaneous equations; problems; 13. Co-ordinates, straight lines and slopes; graphical solution of simultaneous equations; the equation of a straight line; 14. Mensuration of solids; volumes and surface areas of cubes and prisms; cylinders, pyramids, cones, frusta; spheres; similar figures, plane and solid; 15. Curved graphs; 16. Quadratic equations; 17. Trigonometry - ratios and exercises; 18. Geometry of the circle; chords, angles and tangency; useful propositions and exercises; 19. Loci; Tests; Tables and constants; Mensuration formulae (summary of); Tables. Logarithms; antilogarithms; sines; cosines; tangents; Index; Answers.