Welcome to Vibrationdata
Mathematics & Numerical Analysis Page


Table of Laplace Transforms:  Laplace.pdf  

Partial Fractions in Shock and Vibration Analysis: partial.pdf
Complex Functions and Trigonometric Identities: trig.pdf
This tutorial also derives formulas for the natural logarithm, square root, and cube root of a complex number.
Integration of the Normal Distribution Curve: int_pdf.pdf
Roots of a Cubic Polynomial: cubic.pdf

Newton-Raphson Method Applied to Vibration Problems: Newrap.pdf

The Cosine Integral: cosine_integral.pdf

Solution of the Terminal Velocity Ordinary Differential Equation: terminal_velocity_ode.pdf

The Generalized Eigenvalue Problem:  eigen.pdf  

Dr. Edward L. Wilson, The Eigenvalue Problem (Berkeley Link )

 Mathematics Software



Solution of a set of linear equations of the form Ax=b, using Gaussian elimination.

 Inverse of a Real Matrix
 Inverse of a Complex Matrix
 Newton-Raphson Method

Prime Number Generation:
 Integer factorization:
Greatest Common Factor (GCF) of two integers
Least Common Multiple (LCM) of two integers
Factorial of a number, including non-integers.
Gamma function of a rational number. 
Engineering Math Calculator:

1. Vectors
2. Complex Numbers
3. Roots of quadratic, cubic, and quartic polynomials

Fraction Calculator
Evaluation of the Cosine Integral.
S (1/x)cos(x)dx

 Laplace Transform Books

Schaum's Outline of Laplace Transforms

The Laplace Transform : Theory and Applications (Undergraduate Texts in Mathematics)

 Other Mathematics Books

3000 Solved Problems in Calculus (Schaum's Solved Problems Series)
Jan Tuma, Engineering Mathematics Handbook
The Fast Fourier Transform and its Applications

Statistics Explained

William Press, et al, Numerical Recipes The Art of Scientific Computing

Frank Bowman, Introduction to Bessel Functions

Web www.vibrationdata.com
Please send comments and questions to Tom Irvine at: tomirvine@aol.com