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Mathematics References

Throughout the years as an engineer, I have needed to research topics on engineering, physics, chemistry, mechanics, mathematics, etc. The Internet has made the job infinitely simpler, with the caveat that you have to be careful of your sources. Anyone can post anything on the Internet without peer review, and errors are rampant. The topics listed below are primarily ones that I have researched and generated custom pages for the content. I welcome visitor review and comments on my material to help ensure accuracy.

Click here for an incredible resource from the the U.S. Department of Energy.

A

B

Bessel Functions

Box & Whisker Chart

C

Complimentary Error Function Erfc(x)

Complex Numbers

Constants (all values)

Coordinate Systems

D

Derivatives, Basic

Differentiation Rules

E

Error Function Erf(x)

F

Fourier Transform Pairs

Fourier Series Properties

G

Geometry - Arcs & Circles

Geometry - Cylinders, Cones, Spheres

Geometry - Polygons

I

Imaginary Numbers

Integrals, Basic

Integrals, a+bx Form

Integrals, Exponential

Integrals, Sqrt(a²+x²) Form

Integrals, Sqrt(a²-x²) Form

Integrals, Sqrt(x²-a²) Form

Integrals, Inverse Trig

Integrals, Natural Log

Integrals, Square Root

Integrals, Trigonometric

L

LaPlace Transform Pairs

LaPlace Transform Properties

M

Matrix Definitions

N

Numerical Prefixes

P

Partial Fractions

Permutations & Combinations

Phi (Φ) - the Golden Number

S

Series Expansions

Statistics, Engineering

T

Trig Identities

Trig Identities, Inverse

Trig Identities, Hyperbolic

Trig Identities, Inv Hyperbolic

Trigonometry Laws

U

Uncertainties, NIST version

V

Vector, Divergence

Vector, Gradient

Z

z-Transform Properties

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