# Math Handbook Calculator

## - Computer Algebra System of Fractional Calculus

First line of buttons are for algebra to return function, second line of button are for calculus to return function, third line of buttions are for discrete math with default index variable k to return value, forth line of buttions are for numeric compution to return number. 5th and 6th line of buttions are to plot2D graph. 7th and 8th lines of buttion are to plot3D graph.

The same color buttons are a pair of inverse operators, its result can be checked each other if it returns origial function or not.

## Rules:

put function arguments in parentheses: sin(x) -- correct, sin x -- incorrect; do not omit multiplication: x*sin(x) -- correct, x sin(x) -- incorrect. x**y or pow(x,y) for power. Usual keywords are lowercase, which are different from uppercase, e.g. sin is different from Sin. Its default variable is small letter x, but its default index variable in discrete math is k.

## How to use?

see help

### Example:

f(x) = x^2; f(2)

d(f(x_), x_) := sin(x);

integrate(f(x_), x_) := cos(x);

**algebra**: convert.

**calculus**: limit, nth derivative, differentiation, integral, fractional calculus, convert to integral.

**equation**: Inequalities, congruence equation, Dorphine equation, modulus equation, recurrence equation, (fractional) differential equation, (fractional) integral equation, by solve(), dsolve(), lasolve(), rsolve().

**discrete math**: sum, partial sum, indefinite sum, infinite sum, convert to sum.

**interactive plot**zoom by mouse wheel: polar plot, parametric plot, implicit plot, tangent plot, secant plot, plot, plot2D, plot3D, parametric3D, parametric3Dxy, implicit3D, complex3D, spin3D

**animation**:

Please read its example and manual of symbolic computation Computer Algebra System.

## MathHandbook

the Math Handbook Calculator has the function of machine learning. It is unique in the world to solve the function of any order (such as 0.5 order) differential equations. Enter mathematical formulas on the Mathematics Handbook website, click continuously to calculate calculus, solve equations, give analytical solutions and numerical solutions and diagrams, interactively zoom in the drawing, and zoom in with the mouse wheel. You can use it on your mobile phone to learn computing and development anytime, anywhere.

http://mathhand.com

It has three versions:

- Phone version: run on any phone online. It does not requires to download anything.
- Java version: Java Applet run on any computer that support Java
**online and off-line**. Please contact us if you want it.

- PC version: DOS version run on PC. Its old name is SymbMath, you can download it.

SymbMath - PC DOS version of symbolic computation Computer Algebra System.

### Question?

Please post bugs to forum.**See Also**

- Math - Symbol - Handbook
- Elementary Math - Higher Math
- Calculator - mathHand - mathHandbook
- Function - Formula - graphics
- Fractional Calculus - differential equation
- Example :

### Function

absacos

acosh

acot

acoth

acsc

acsch

Ai

airyAi

airyBi

angle

area

arg

argument

asec

asech

asin

asinh

assume

atan

atan2

atanh

arccos

arccosh

arccot

arccoth

arccsc

arccsch

arcsec

arcsech

arcsin

arcsinh

arctan

arctanh

Bi

beta

smallbeta

bell

bernoulli

binomial

block

C

catalan

cbrt

ceil

ci

circle

cis

Cl

Clausen

chi

combination

combine

complete d

complex

complex2D

complex3D

conjugate

convert

cos

cosh

csc

csch

csgn

d

Dawson

def

define

definition

deg

degree

delta

diff

difference

digamma

dilog

doublefactorial

ds

dsolve

E

Ei

Ein

En

evaluate

eta

erf

erfc

erfi

euler

exp

expand

expandexp

expandtrig

factor

factorial

factorial2

factorialpower

fallingfactorial

fib

fibonacci

floor

fsolve

For

for

fourier

fresnelC

fresnelS

Gamma

gamma

smallgamma

GammaQ

gammaP

gauss

gaussi

gaussian

gcd

gsolution

If

if

im

infint

infints

infsum

infsums

int

integral

integrate

integrates

integrator

inverse

inverseerf

inverseerfc

inversefactorial

inverseGamma

inverselaplace

inverseW

isatom

isconstant

iscomplex

isfloat

iseven

isfree

isfunction

isinteger

isnumber

isodd

isprime

L

lamberW

lucas

laplace

lasolve

last

left

length

Lerch

lg

li

list

lim

limit

limoo

ln

log

log10

logBeta

logGamma

loggamma

n

name

nextprime

nint

nlim

not

nsolve

nsum

nthd

nthRoot

P

Phi

parametricplot

partialsum

pde

PDE

pdsolve

plot

plot2D

plot3D

plot3DIE

pochhammer

polar

polard

polarplot

poly

polyroot

polygamma

polylog

point

pow

power

powermod

prime

prod

product

psi

psolve

psolution

psum

random

range

re

real

recurrence

remainder

replace

right

risingfactorial

rsolve

round

root

S

sec

sech

section3D

semicircle

semid

semid2D

semiint

series

sgn

Si

sign

simplify

sin

sinc

sinh

size

smallgamma

solve

sort

Sophomore

sqrt

Stirling1

Stirling2

sum

sum0inf

sum0n

sum1inf

sum1n

swap

tan

tani

tanh

tangent

tangent plot

taylor

taylor2D

test

theta

timer

tocomplex

tocos

tocosh

todegree

toerf

toexp

togamma

tofactorial

tolog

toint

tointegral

tomittag

tosum

toparfrac

topolar

topolard

topoly

topolyroot

topow

topower

tosin

tosinh

toradian

totrig

totrigh