An Introduction to Engineering Mathematics
Cambridge University Press, 5/26/2016
EAN 9781316611906, ISBN10: 1316611906
Paperback, 276 pages, 20.3 x 12.7 x 1.8 cm
Language: English
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.
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.