Book:J.C. Anderson/Data and Formulae for Engineering Students

Contents

 * PREFACE


 * 1. UNITS AND ABBREVIATIONS


 * 1.1 Decimal Prefixes
 * 1.2 SI units
 * (i) Basic units
 * (ii) Derived units
 * 1.3 British and other units


 * 2. UNIT CONVERSION FACTORS


 * 3. PHYSICAL CONSTANTS


 * 4. MATHEMATICS


 * 4.1 Vector algebra
 * 4.2 Series
 * 4.3 Trigonometric identities and hyperbolic functions
 * 4.4 Differential calculus


 * (i) Radius of curvature
 * (ii) Leibniz's rule
 * (iii) Taylor's expansion
 * (iv) Taylor's series
 * (v) Partial differentiation
 * (vi) Stationary points of $\map f {x, y}$
 * (vii) Differential equations


 * 4.5 Integral calculus


 * (i) An important substitution
 * (ii) Some indefinite integrals
 * (iii) Some definite integrals
 * (iv) Stirling's formula for $n!$


 * 4.6 Laplace Transforms


 * 4.7 Numerical analysis


 * (i) Approximate solution of an algebraic equation
 * (ii) Least-squares fitting of straight line
 * (iii) Finite-difference equation
 * (iv) Lagrange's interpolation formula
 * (v) Formulae for numerical integration
 * (vi) Richardson's error estimation formula for use with Simpson's rule


 * 4.8 Fourier series


 * (i) General formulae
 * (ii) Special waveforms


 * 5. STATISTICS


 * 5.1 Frequency distributions for discrete random variables
 * 5.2 Frequency distributions for continuous random variables
 * 5.3 Confidence interval for mean of a normal distribution
 * 5.4 Goodness of fit - the $\chi^2$ test


 * 6. PROPERTIES OF LAMINAE AND SOLIDS


 * 6.1 Pappus's theorems
 * 6.2 Moments of inertia: general theorems
 * 6.3 Radii of gyration


 * 7. SCIENCE OF MATERIALS


 * 7.1 Periodic Table of the Elements
 * 7.2 Electronic Structure of the Elements
 * 7.3 Some typical values of the Elements


 * (i) Metals (Copper, iron)
 * (ii) Semiconductors (Germanium, silicon)


 * 8. THERMODNAMICS AND FLUID MECHANICS


 * 8.1 Nomenclature
 * 8.2 Thermodynamic definitions
 * 8.3 Dimensionless groups
 * 8.4 Temperature at the primary fixed points
 * 8.5 Critical constants
 * 8.6 Approximate physical properties at $20 \cels$, $1$ bar
 * 8.7 Friction factor


 * 9. MECHANICS AND STRUCTURES


 * 9.1 Material constants
 * 9.2 Beams bend about principal axis
 * 9.3 Stress and strain transformations