Professional

The Art of Mathematics

Professional Formula Calculator

Professional version

For science and engineering — complex numbers and extended function set

Download Librow scientific formula calculator for Win32 and Win64 (msi, 7.4 MB)

Download Librow scientific formula calculator for Win32 and Win64 (zip, 5.1 MB)

Fig. 1. Librow professional formula calculator.

Complex numbers

All functions support complex argument

Librow calculator accepts both i and j as imaginary unit:

sin(1+i*2)
sin(1+j*2)

The calculator natively supports real and imaginary parts, argument and conjugate of the complex number.

Real and imaginary parts of the number z stored in memory:

re(mem[z])
im(mem[z])

Argument and conjugate of the current result:

arg(rslt)
conj(rslt)

Bessel functions

Both ordinary and modified Bessel functions of fractional order and complex argument

Librow calculator supports four Bessel functions of fractional order.

Bessel function of the first kind J_ν:

J(1.5, 1+i*2)

Bessel function of the second kind Y_ν:

Y(1.5, 1+i*2)

Modified Bessel function of the first kind I_ν:

I(1.5, 1+i*2)

Modified Bessel function of the second kind K_ν:

K(1.5, 1+i*2)

Gamma function

Gamma function — extension of factorial to complex numbers

Librow calculator supports gamma function:

Γ(1+i*2)

or:

Gamma(1+i*2)

Sum and product of series

Native functions for sum and product of series

Librow calculator can easily calculate sum and product of long series:

//   Sum of 1/k series, k runs from 1 to 100
∑(k, 1, 100, 1/k)

//   Product of 1/k series, k runs from −1 to −100
∏(k, −1, −100, 1/k)

Support of arbitrary index step:

//   Sum of 1/(k+1) series, k runs from 0 to 100 with a step of 4
∑(k, 0, 100, 4, 1/(k+1))

Random numbers

Embedded random number generator

The calculator generates random numbers in [0, 1] range:

arcsin(rand)

Ceiling and floor functions

Transforms of reals to integers

Librow calculator supports both ceiling and floor functions:

ceil(−1.2)
floor(1.4)

Technical data

Functional, robust, professional

Precision: double

Number input and output format: decimal (standard notation) and exponential (scientific notation)

Supported operators: addition, subtraction, multiplication, division

Supported functions:

trigonometric: sin, csc, cos, sec, tan, cot
hyperbolic: sinh, csch, cosh, sech, tanh, coth
inverse trigonometric: arcsin, arccsc, arccos, arcsec, arctan, arccot
inverse hyperbolic: arsinh, arcsch, arcosh, arsech, artanh, arcoth
exponential, natural and decimal logarithmic: exp, ln, log
power, square root: pow, √
absolute value: abs
ceiling and floor: ceil, floor
factorial: fact
gamma function: Γ
signum: sign
Bessel functions of the first and second kind of the real (fractional) order: J, Y
modified Bessel functions of the first and second kind of the real (fractional) order: I, K
sum and product of series: ∑, ∏
real and imaginary part of the complex number: re, im
argument and conjugate of the complex number: arg, conj
random number: rand

RAM: min 4 MB

Size on disk: application — 3.9 MB, its help — 2.1 MB

Platform: Windows XP, Windows Vista, Windows 7, Windows 8, Windows 10; 32-bit and 64-bit

Installation

msi — Microsoft Installation for professional administration

Download Librow scientific formula calculator (msi, 7.4 MB)

zip — just compressed files

To install the software download the file and unpack the archive into the folder of your choice. The archive contains two files: calculator executable and calculator help.

Download Librow scientific formula calculator (zip, 5.1 MB)