ABSTRACT
This pocket handbook is intended as a handy reference guide for engineers, scientists and students on widely used mathematical relationships, statistical formulas and problem-solving methods. It is a compilation of useful formulas and generalised problem-solving techniques employed by practitioners in the analysis and interpretation of scientific data and problem solving. Written in short note form, it is intended to provide the user with a quick, easy reference to information with ample references provided for further readings. Illustrated examples are included for more involved problem-solving methods. Many of the techniques are well suited to adaptatation on personal computers and there are more detailed instructions included to guide and illustrate computer aided problem solving.
TABLE OF CONTENTS
part A|1 pages
Mathematics
entry |1 pages
Angle Between, Norm, and Dot Product of Vectors
entry |1 pages
Area of a Triangle (a, b, c) (refer to Figure A1)
entry |1 pages
Area of a Triangle (a, b, c) (refer to Figure A2)
entry |1 pages
Area of a Triangle (a, B, C) (refer to Figure A3)
entry |1 pages
Area of a Triangle [(x1, y 1), (x2, y 2), (x 3, y 3)]
entry |1 pages
Circle Determined by Three Points
entry |1 pages
Compounded Amount
entry |1 pages
Depreciation Schedules (Straight Line)
entry |2 pages
Depreciation Schedules (Sum-of-the-Year’s Digits)
entry |1 pages
Depreciation Schedules (Variable Rate Declining Balance)
entry |1 pages
Determinant and Inverse of a 2 × 2 Matrix
entry |31 pages
Determinant of A 3 × 3 Matrix
entry |1 pages
Direct Reduction Loan Interest Rate
entry |1 pages
Direct Reduction Loan Payment, Present Value, Number of Time Periods
entry |1 pages
Direct Reduction Loan Accumulated Interest, Remaining Balance
entry |1 pages
Direct Reduction Loan Amortization Schedules
entry |1 pages
Discounted Cash Flow Analysis
entry |14 pages
Geometric Relations
entry |2 pages
Inverse Hyperbolic Functions
entry |2 pages
Linear Interpolation
entry |2 pages
Matrix Multiplication (2 × 2)
entry |8 pages
Nomograph Construction 1
entry |1 pages
Polynomial Evaluation
entry |3 pages
Polygons Circumscribed About a Circle
entry |2 pages
Polygons Inscribed in a Circle
entry |2 pages
Quadratic Equations
entry |4 pages
Series Formulas 2
entry |2 pages
Simultaneous Equations
entry |2 pages
Sinking Fund Payment, Future Value, Number of Time Periods
entry |6 pages
Triangle Solutions
entry |9 pages
Trigonometric Relationships
entry |2 pages
Vector Products
part 2|13 pages
Statistics Formulas and Data Regression
entry |11 pages
Analysis of Variance
entry |2 pages
Bartlett’s Chi-Square Statistic 3
entry |1 pages
Bayes’ Formula 4
entry |2 pages
Behrens-Fisher Statistic 5
entry |1 pages
Binomial Distribution 6
entry |3 pages
Biserial Correlation Coefficient 7 (refer to Figure B1)
entry |2 pages
Bivariate Normal Distribution
entry |1 pages
Chi-Square Distribution 8
entry |2 pages
Chi-Square Evaluation 9
entry |2 pages
Combination
entry |1 pages
Correlation Coefficient 10
entry |2 pages
Covariance and Correlation Coefficient
entry |2 pages
Differences Among Proportions 11
entry |16 pages
Dimensional Analysis 12
entry |2 pages
Error Function and Complementary Error Function 13
entry |2 pages
Exponential Curve Fit 14
entry |2 pages
F Distribution 15
entry |2 pages
Gamma Function 16
entry |1 pages
Generalized Mean
entry |2 pages
Geometric Mean
entry |1 pages
Harmonic Mean
entry |2 pages
Hypergeometric Distribution 17
entry |2 pages
Inverse Normal Integral 18
entry |2 pages
Kendall’s Coefficient of Concordance 19
entry |2 pages
Kruskall-Wallis Statistic 20
entry |11 pages
Linear Regression (Method of Least Squares Fit)
entry |2 pages
Logarithmic Curve Fit
entry |1 pages
Logarithmic Normal Distribution 21
entry |2 pages
Mann-Whitney Statistic 22
entry |2 pages
Mean-Square Successive Difference 23
entry |2 pages
Mean, Standard Deviation, Standard Error for Grouped Data
entry |2 pages
Moments, Skewness and Kurtosis 24
entry |4 pages
Nested Designs
entry |1 pages
Normal Distribution 25 (see Figure B9)
entry |2 pages
One Sample Test Statistics for the Mean
entry |2 pages
Paired t Statistic 26
entry |1 pages
Partial Correlation Coefficients 27
entry |2 pages
Permutation
entry |1 pages
Poisson Distribution
entry |8 pages
Power Curve Fit 28
entry |3 pages
Polynomial Curve Fit
entry |1 pages
Probability of No Repetitions in a Sample 29
entry |2 pages
Probit Analysis
entry |2 pages
Spearman’s Rank Correlation Coefficient 30
entry |2 pages
Standard Errors for Linear Regression 31
entry |1 pages
Standardized Scores
entry |2 pages
t Distribution 32
entry |1 pages
t Statistic for Two Means 33
entry |1 pages
Trimming
entry |2 pages
Weibull Distribution Parameter Calculation
