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formula handbook: including engineering formulae, mathematics [pdf]

Formula Handbook including Engineering Formulae, Mathematics, Statistics and Computer Algebra


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Formula Handbook including Engineering Formulae, Mathematics, Statistics and Computer Algebra written by NA This handbook is another great book for the students, researcher, engineers, scientist and mathematicians.

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Formula Handbook including Engineering Formulae, Mathematics, Statistics and Computer Algebra written by NA cover the following topics.
1. Recommended Books
1.1 Maths
1.2 Mechanical and Electrical Engineering

2. Useful Web Sites

3. Evaluation
3.1.1 Accuracy and Precision.
3.1.2 Units
3.1.3 Rounding

4. Electrical Formulae and Constants
4.1 Basic
4.2 Electrostatics.
4.3 Electromagnetism
4.4 AC Circuits

5. Mechanical Engineering
5.1.1 Dynamics: Terms and Equations
5.1.2 Conversions
5.2 Equations of Motion
5.3 Newton's Second Law.
5.3.1 Centrifugal Force
5.4 Work done and Power
5.5 Energy.
5.6 Momentum / Angular Impulse.
5.7 Specific force / torque values
5.8 Stress and Strain.
5.9 Fluid Mechanics
5.10 Heat Transfer.
5.11 Thermodynamics

6. Maths for Computing
6.1.1 Notation for Set Theory and Boolean Laws

7. Combinational Logic
7.1.1 Basic Flowchart Shapes and Symbols.

8. Mathematical Notation – what the symbols mean
8.1.1 Notation for Indices and Logarithms.
8.1.2 Notation for Functions..

9. Laws of Mathematics
9.1 Algebra – sequence of operations..19

10. Changing the subject of a Formula (Transposition)

11. Simultaneous Equations with 2 variables

12. Matrices

13. The Straight Line

14. Quadratic Equations

15. Areas and Volumes

16. The Circle
16.1.1 Radian Measure

17. Trigonometry
17.1.1 Notation for Trigonometry
17.2 Pythagoras’ Theorem
17.2.1The Triangle
17.2.1 Sine Rule
17.2.2 Cosine Rule
17.2.3 Area formula
17.3 Trigonometric Graphs
17.3.1 Degrees - Radians Conversion.
17.4 Trigonometric Identities
17.5 Multiple / double angles

18. Complex Numbers

19. Vectors

20. Co-ordinate Conversion using Scientific Calculators

21. Indices and Logs
21.1.1 Rules of Indices:
21.1.2 Definition of logarithms.
21.1.3 Rules of logarithms:
21.1.4 Infinite Series
21.1.5 Hyperbolic Functions
21.1.6 Graphs of Common Functions

22. Calculus
22.1.1 Notation for Calculus.
22.2 Differential Calculus - Derivatives
22.2.1 Maxima and Minima
22.2.2 Differentiation Rules
22.2.3 Formula for the Newton-Raphson Iterative Process.
22.2.4 Partial Differentiation
22.2.5 Implicit Differentiation
22.2.6 Parametric Differentiation.
22.3 Integral Calculus - Integrals.
22.3.1 Integration by Substitution.
22.3.2 Integration by Parts.
22.3.3 Indefinite Integration.
22.3.4 Area under a Curve.
22.3.5 Mean Value.
22.3.6 Root Mean Square (RMS).
22.3.7 Volume of Revolution
22.3.8 Centroid.
22.3.9 Partial Fractions
22.3.10 Approximation of Definite Integrals
22.3.10.1 Simpson's Rule
22.3.10.2 Trapezium Method..
22.4 Laplace Transforms ..
22.5 Approximate numerical solution of differential equations
22.6 Fourier Series. .
22.6.1 Fourier Series - wxMaxima method

23. Statistics
23.1.1 Notation for Statistics.
23.2 Statistical Formulae
23.2.1 Regression Line
23.2.3 Critical Values of the t Distribution.
23.2.4 Normal Distribution Curve
23.2.5 Binomial Theorem
23.2.6 Permutations and Combinations

24. Financial Mathematics

25. Recommended Computer Programs

26. Computer Input
26.1 wxMaxima Input
26.1.1 Newton Raphson
26.1.2 Differential Equations
26.1.3 Runge-Kutta
26.2 Mathcad Input

27. Using a Spreadsheet to find the ‘best fit’ formula for a set of data

28. Calibration Error.

29. SI Units - Commonly used prefixes

30. Electrical Tables.

31. THE GREEK ALPHABET


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