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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.

Through the use of abstraction and logical reasoning, mathematics evolved from counting, calculation, measurement, and the systematic study of the shapes and motions of physical objects. Knowledge and use of basic mathematics have always been an inherent and integral part of individual and group life. Refinements of the basic ideas are visible in mathematical texts originating in ancient Egypt, Mesopotamia, ancient India, ancient China, and ancient Greece. Rigorous arguments first appear in Euclid's Elements. The development continued in fitful bursts until the Renaissance period of the 16th century, when mathematical innovations interacted with new scientific discoveries, leading to an acceleration in research that continues to the present day.

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.


see handbook

Complex math


  • List of functions
  • Complex Function and graph
  • Special Function and graph
  • Digital Library of Mathematical Functions
  • search function by name


  • Integral table
  • integrator
  • Fractional calculus
  • Fractional differential equation


  • SIR model
  • electrochemistry modeling
  • 3D Complex Model of Universe

    Calculators + plottors

    1. simple calculator
    2. scientific calculator
    3. graph calculator + numeric calculator
    4. integral calculator = integrator
    5. plot calculator = function + implicit + parametric + polar plottor
    6. plot2D calculator = 2D function + implicit + parametric + derivative + integral + polar plottor
    7. ODE calculator = Ordinary Differential Equation plottor
    8. surface3D calculator = 3D plottor
    9. plot3D IE calculator = 3D plottor for Internet Explorter
    10. contour3D calculator = 2D surface + 3D plottor
    11. drawing = drawing + overlap plot = math hand
    12. math handbook calculator = math calculator = all-in-one 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.

    Cloud computing

    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 + ^.


    1. html + javaScript:
    2. python programimg:
    3. math programmimg:


  • Example
  • graphics
  • Example of Math Graphics
  • bugs


  • math handbook
  • handbook of math 2016
  • formulae 2015
  • math handbook (Russian)
  • Handbook of Special Functions
  • Graduate Texts in Mathematics (GTM) 1-280
  • school-maths-vol-1
  • school-maths-vol-6

    Traslation from Chinese

  • math - Elementary Math - Higher Math

    formula - graph

  • formula - function graph - curve


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