Welcome to Vibrationdata
Mathematics & Numerical Analysis Page

Tutorials 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

EIGENVALUE PROBLEM The Generalized Eigenvalue Problem:  eigen.pdf   Dr. Edward L. Wilson, The Eigenvalue Problem (Berkeley Link )

Mathematics Software	Executable	Source
Solution of a set of linear equations of the form Ax=b, using Gaussian elimination.	linear.exe	_
Inverse of a Real Matrix	inverse.exe	inv_con.cpp
Inverse of a Complex Matrix	inv_comp.exe	inv_comp.cpp
Newton-Raphson Method	nr.exe	_
Prime Number Generation:	prime.exe	prime.cpp
Integer factorization:	factor.exe	factor.cpp
Greatest Common Factor (GCF) of two integers	gcf.exe	gcf.cpp
Least Common Multiple (LCM) of two integers	lcm.exe	lcm.cpp
Factorial of a number, including non-integers.	factorial.exe	factorial.cpp
Gamma function of a rational number.	gamma.exe	gamma.cpp
Engineering Math Calculator: 1. Vectors 2. Complex Numbers 3. Roots of quadratic, cubic, and quartic polynomials	EngMath.exe	_
Fraction Calculator	fraction.exe	_
Evaluation of the Cosine Integral. S (1/x)cos(x)dx	cosine_integral.exe	cosine_integral.cpp

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

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