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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.

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.

Classification

    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 calculator
  8. symbolic math calculated by mathHandbook - math calculator

Function

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

    Equation

    20 types of equation

    Calculus

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

    Calculators + plottors

    over 30 calculators

    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.

    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 + ^.

    Coding

    1. html + JavaScript : DrHuang.com/index/html
    2. JavaScript or mathHandbook programmimg = math coding : DrHuang.com/index/mathHand
    3. python programimg : DrHuang.com/index/python

    Example

  • Do exercise and learn from Example
  • graphics
  • Example of Math Graphics
  • bugs

    Modeling

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

    Book

  • 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
    more

    Traslation from Chinese

  • math - Elementary Math - Higher Math

    formula - graph

  • formula - function graph - curve

    References

    Question?

    Please post to forum 
    See Also
    
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