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Full Description
Originally published in 1936, this textbook was primarily designed for students of applied mathematics to provide a solid foundation for studies on the practical side of the subject. The book, whilst carefully keeping the groundwork of pure mathematics, covering key elementary aspects of the subject, such as quadratic equations, in the main explores the 'generally understood technical allusions, illustrations, and graded applications'. The book provides multiple useful and challenging exercises and is shaped and established around the syllabus at the time of publication. Chapters are broad in scope, detailed and clearly written; chapter titles include, 'Curved graphs', 'Trigonometry ratios and exercises' and 'Loci'. Aiming to achieve a 'logical sequence of leading theorems, clear deductions and concise, practical applications', this textbook will be of great value to students of engineering mathematics as well as to anyone with an interest in physics, materials science and the history of education.
Contents
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.
