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Mathematics
Mathematics (colloquially, maths or math), is the body of knowledge centered on concepts such as quantity, structure, space,
and change, and also the academic discipline that studies them. Benjamin Peirce called it "the science that draws necessary
conclusions". Other practitioners of mathematics maintain that mathematics is the science of pattern, that
mathematicians seek out patterns whether found in numbers, space, science, computers, imaginary abstractions, or elsewhere.
Mathematicians explore such concepts, aiming to formulate new conjectures and establish their truth by rigorous deduction
from appropriately chosen axioms and definitions.
Today, mathematics is used throughout the world in many fields, including natural science, engineering, medicine, and the
social sciences such as economics. Applied mathematics, the application of mathematics to such fields, inspires and makes
use of new mathematical discoveries and sometimes leads to the development of entirely new disciplines. Mathematicians also
engage in pure mathematics, or mathematics for its own sake, without having any application in mind, although applications
for what began as pure mathematics are often discovered later.
Classification
Classification by branch
- 21 branches by math handbook
Classification by domain
Real math
- JavaScript math for front end webpage
- Java math for back end server
Complex Math
- Complex math calculated by Function calculator
complex operation of special function should be converted to complex( ) by the tocomplex( ) before calculation.
- Complex math calculated by Matrix calculator
- Complex math calculated by mathHandbook calculator
complex operation should be converted to complex( ) by the tocomplex( ) before plot.
Classification by variable
- numeric math calculated by funplot - JavaScript function calculators
- Ordinary Differential Equation (ODE) calculated numerically by ODEplot calculators
- symbolic math calculated by mathHandbook - math calculators
Function
Function
List of functions
Real function
Complex Function in real domain with complex2D(x) and
complex domain in 2D with complexplot(z) and in 3D with complex3D(x)
Special Function and graph
Digital Library of Mathematical Functions
search function by name
Calculus
calculus
Integral table
integrator
Fractional calculus
Equation
25 types of equation, including
Fractional differential equation
equation world
Calculators + plottors
web calculator
Cloud computing 云计算 = Web Address computing 网址计算.
Input your formula x from URL in browser to compute x, and share your computation with URL. please replace the plus sign + with %2b, the power sign ^ with **, as URL did not know + ^.
all-in-one calculator
math handbook calculator
clicking individual button go to its calculator.
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.
Graphics
Graphics
plottors - most calculators are also plottors to plot graphics.
draw - online drawing with mouse.
Coding
- html + JavaScript : DrHuang.com/index/html
- JavaScript or mathHandbook programmimg = math coding :
DrHuang.com/index/mathHand
- python programimg : DrHuang.com/index/python
Example
Do exercise and learn from Example
graphics
animation
bugs
Modeling
electrochemistry modeling [1-6]
3D Complex Model of Universe
SIR model
Book
list
math handbook
math word - Encyclopedia of Mathematics
handbook of math 2016
formulae 2015
math handbook (Russian)
Handbook of Special Functions
school-maths-vol-1
school-maths-vol-6
Graduate Texts in Mathematics (GTM) 1-282
list
Chinese book
math information
more
Traslation from Chinese
math
- Elementary Math
- Higher Math
formula
- function curve
- plot
References
- complex
- complex function
- complex math
- math handbook chapter 10 complex function
- complex animate(z) for phase animation, the independent variable must be z.
- complex plot(z) for phase and/or modulus, the independent variable must be z.
- complex2D(x) for complex 2 curves of real and imag parts, the independent variable must be x.
- complex3D(x) for 3 dimensional graph, the independent variable must be x.
- color WebXR surface of complex function on complex plane
- Riemann surface
- Complex Branches
- complex coloring
- 2D surface
- 3D surface
Question ?
Please post to forum
See Also