The pur-pose of this handbook is to supply a collection of mathematical formulas and tables which will prove to be valuable to students and research workers in the fields of mathematics, physics, engineering and other sciences. TO accomplish this, tare has been taken to include those formulas and tables which are most likely to be needed in practice rather than highly specialized results which are rarely used. Every effort has been made to present results concisely as well as precisely SOthat they may be referred to with a maximum of ease as well as confidence. Topics covered range from elementary to advanced. Elementary topics include those from algebra, geometry, trigonometry, analytic geometry and calculus. Advanced topics include those …exibir mais conteúdo…

Indefinite Integrals .............................................................. Definite Integrals ................................................................
The Gamma

Function .........................................................

The Beta Function ............................................................ Basic Differential Equations and Solutions ..................................... Series of Constants..............................................................lO Taylor Series...................................................................ll Bernoulliand Euler Numbers ................................................. ............................................. Formulas from Vector Analysis.. Bessel Functions..

7 0 ..114 ..116 ..~3 1 ..13 6 6
.149

Fourier Series ................................................................ ............................................................ Legendre Functions.............................................................l4 Associated Legendre Functions ................................................. Hermite Polynomials............................................................l5 Laguerre Polynomials .......................................................... Associated Laguerre Polynomials ................................................ Chebyshev Polynomials..........................................................l5