Engineering problems - illustrating mathematics 1406701467, 9781406701463

Table of contents :
Title......Page 1
Title page......Page 3
Date-line......Page 4
CONTENTS......Page 5
Preface......Page 7
Radicals and Exponents......Page 9
Quadratic Equations......Page 10
Logarithms......Page 13
Simultaneous Equations......Page 15
Variation......Page 16
Binomial Theorem......Page 17
Progressions......Page 18
Theory of Equations......Page 20
Determinants and Simultaneous Linear Equations......Page 23
Right Triangles......Page 30
Oblique Triangles......Page 33
Multiple Angle Identities......Page 35
Graphs of the Trigonometric Functions. Line Values......Page 38
Trigonometric Equations......Page 39
Complex Numbers. DeMoivre's Theorem......Page 41
Elementary Formulas......Page 45
Straight Lines......Page 46
Curve Sketching......Page 51
Graphs of the Curves: $y=ax^n$......Page 54
Circles......Page 57
Parabolas......Page 59
Ellipses......Page 62
Hyperbolas......Page 63
Rotation of Axes......Page 65
Graphs of Sine Waves......Page 66
Exponential and Logarithmic Graphs......Page 69
Hyperbolic Functions......Page 71
Polar Coordinates......Page 72
Parametric Equations......Page 74
Empirical Curves......Page 79
Elementary Formulas in Solid Analytic Geometry......Page 83
Surfaces in Solid Analytic Geometry......Page 87
Uses and Interpretations of Derivatives......Page 91
Tangent and Normal......Page 94
Curve Sketching. Maximum, Minimum, and Flex Points......Page 98
Maximum and Minimum Problems......Page 101
Velocity and Acceleration. Rectilinear Motion......Page 108
Velocity and Acceleration. Curvilinear Motion......Page 110
Differentials......Page 113
Curvature......Page 114
Indeterminate Forms......Page 115
Partial Differentiation......Page 118
Constant of Integration......Page 122
Evaluation of Definite Integrals......Page 130
Definite Integrals. Simpson's Rule and Trapezoidal Rule......Page 133
Areas. Average Ordinate......Page 135
Length of Arc. Areas of Surfaces of Revolution......Page 139
Volumes......Page 141
First and Second Moments......Page 143
Total Force......Page 148
Work......Page 149
Other Applications of Integral Calculus......Page 151
Infinite Series......Page 157
Hyperbolic Functions......Page 161
Index......Page 165
Answers......Page 169