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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 by branch

  1. 21 branches by math handbook

    Classification by domain

    Real math

  2. JavaScript math for front end webpage
  3. Java math for back end server

    Complex Math

  4. Complex math calculated by Function calculator
    complex operation of special function should be converted to complex( ) by the tocomplex( ) before calculation.
  5. Complex math calculated by Matrix calculator
  6. Complex math calculated by mathHandbook calculator
    complex operation should be converted to complex( ) by the tocomplex( ) before plot.

    Classification by variable

  7. numeric math calculated by funplot - JavaScript function calculators
  8. Ordinary Differential Equation (ODE) calculated numerically by ODEplot calculators
  9. symbolic math calculated by mathHandbook - math calculators


  • 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
  • Integral table
  • integrator
  • Fractional calculus


  • 30 types of equation, including
  • Fractional differential equation
  • equation world

    Calculators + plottors

    50 calculators

    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
  • plottors - most calculators are also plottors to plot graphics.
  • draw - online drawing with mouse.


    1. html + JavaScript :
    2. JavaScript or mathHandbook programmimg = math coding :
    3. python programimg :


  • Do exercise and learn from Example
  • graphics
  • animation
  • bugs
  • tests


  • electrochemistry modeling [1-6]
  • 3D Complex Model of Universe
  • SIR model


  • 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


    1. complex - complex function - complex math
    2. complex animate(z) or complex2D(x) for phase animation in complex plane, the independent variable must be z.
    3. complex plot(z) for phase and/or modulus in complex plane, the independent variable must be z.
    4. plot complex(z) for phase and/or modulus in complex plane, the independent variable must be z.
    5. complex2D show re2D(x) and im2D(x) for complex 2 curves of real and imag parts in real and imag domain, the independent variable must be x.
    6. complex3D(x) for 3 dimensional graph, the independent variable must be x.
    7. color WebXR surface of complex function on complex plane
    8. Riemann surface - Complex Branches - complex coloring


    1. math handbook content 2 chapter 10 complex function
    2. math handbook content 3 chapter 10 complex function
    3. math handbook content 4 chapter 10 complex function
    4. Complex analysis

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