{"id":87063,"date":"2023-03-24T10:41:36","date_gmt":"2023-03-24T05:11:36","guid":{"rendered":"https:\/\/techvidvan.com\/tutorials\/?p=87063"},"modified":"2023-03-24T10:41:36","modified_gmt":"2023-03-24T05:11:36","slug":"python-math-module-python-for-mathematics","status":"publish","type":"post","link":"https:\/\/techvidvan.com\/tutorials\/python-math-module-python-for-mathematics\/","title":{"rendered":"Python Math Module – Python for Mathematics"},"content":{"rendered":"

The majority of Python development involves mathematical calculations. It is impossible to avoid the need for math when working on a scientific project, a financial application, or any other type of programming project that you are undertaking.<\/p>\n

Python’s built-in mathematical operators, such as addition (+), subtraction (-), division (\/), and multiplication (*), can be used for simple mathematical calculations. However, more advanced operations like exponential, logarithmic, trigonometric, or power functions are not included. Does this imply that you must recreate all of these functions?<\/p>\n

No, thankfully. Python includes a math module that is specifically designed for higher-level mathematical operations.<\/p>\n

What is the Python math Module?<\/h3>\n

The math module in Python provides mathematical functions and constants, including trigonometric functions, logarithmic functions, and other mathematical constants. Some examples of functions provided by the math module include sqrt() for finding the square root of a number, sin() and cos() for trigonometry, and exp() for exponentiation.<\/p>\n

Additionally, the math module also provides constants such as pi and e. To use the functions and constants provided by the math module, you need to import it using the import statement.<\/p>\n

Example:<\/p>\n

import math\n\nx = math.sqrt(16)\nprint(x) # 4.0\n\ny = math.sin(math.pi)\nprint(y) # 1.2246467991473532e-16\n\nz = math.exp(2)\nprint(z) # 7.389056098930649\n<\/pre>\n
You can also import specific functions or constants from the math module using the from keyword.<\/p>\n
Example:<\/p>\n
from math import sqrt, pi\n\nx = sqrt(16)\nprint(x) # 4.0\n\ny = pi\nprint(y) # 3.141592653589793\n<\/pre>\n
Constants of python math module<\/h3>\n
The math module in Python provides several mathematical constants that can be used in mathematical calculations. Some of these constants include:<\/p>\n
    \n
  • math.pi: The mathematical constant pi (\u03c0), which is the ratio of a circle’s circumference to its diameter.<\/li>\n
  • math.e: The mathematical constant e, which is the base of the natural logarithm.<\/li>\n
  • math.tau: The mathematical constant tau (\u03c4), which is equal to 2*pi.<\/li>\n
  • math.inf: A special floating-point value that represents positive infinity.<\/li>\n
  • math.nan: A special floating-point value that represents “not a number.”<\/li>\n<\/ul>\n
    import math\n\nprint(math.pi) # 3.141592653589793\nprint(math.e) # 2.718281828459045\nprint(math.tau) # 6.283185307179586\n<\/pre>\n
    Note that these are read-only constants and cannot be reassigned, if you try to reassign these constants it will raise a SyntaxError.<\/p>\n
    Functions in Python math Module<\/h3>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
    Function<\/strong><\/td>\nDescription<\/strong><\/td>\n<\/tr>\n
    ceil(x)<\/span><\/td>\nReturns the smallest integer greater than or equal to x.<\/span><\/td>\n<\/tr>\n
    isinf(x)<\/span><\/td>\nReturns True if x is a positive or negative infinity<\/span><\/td>\n<\/tr>\n
    isnan(x)<\/span><\/td>\nReturns True if x is a NaN<\/span><\/td>\n<\/tr>\n
    exp(x)<\/span><\/td>\nReturns e**x<\/span><\/td>\n<\/tr>\n
    log10(x)<\/span><\/td>\nReturns the base-10 logarithm of x<\/span><\/td>\n<\/tr>\n
    log(x[, b])<\/span><\/td>\nReturns the logarithm of x to the base b (defaults to e)<\/span><\/td>\n<\/tr>\n
    modf(x)<\/span><\/td>\nReturns the fractional and integer parts of x<\/span><\/td>\n<\/tr>\n
    isfinite(x)<\/span><\/td>\nReturns True if x is neither an infinity nor a NaN (Not a Number)<\/span><\/td>\n<\/tr>\n
    factorial(x)<\/span><\/td>\nReturns the factorial of x<\/span><\/td>\n<\/tr>\n
    ldexp(x, i)<\/span><\/td>\nReturns x * (2**i)<\/span><\/td>\n<\/tr>\n
    pow(x, y)<\/span><\/td>\nReturns x raised to the power y<\/span><\/td>\n<\/tr>\n
    copysign(x, y)<\/span><\/td>\nReturns x with the sign of y<\/span><\/td>\n<\/tr>\n
    fabs(x)<\/span><\/td>\nReturns the absolute value of x<\/span><\/td>\n<\/tr>\n
    floor(x)<\/span><\/td>\nReturns the largest integer less than or equal to x<\/span><\/td>\n<\/tr>\n
    fmod(x, y)<\/span><\/td>\nReturns the remainder when x is divided by y<\/span><\/td>\n<\/tr>\n
    frexp(x)<\/span><\/td>\nReturns the mantissa and exponent of x as the pair (m, e)<\/span><\/td>\n<\/tr>\n
    fsum(iterable)<\/span><\/td>\nReturns an accurate floating point sum of values in the iterable<\/span><\/td>\n<\/tr>\n
    trunc(x)<\/span><\/td>\nReturns the truncated integer value of x<\/span><\/td>\n<\/tr>\n
    expm1(x)<\/span><\/td>\nReturns e**x – 1<\/span><\/td>\n<\/tr>\n
    log1p(x)<\/span><\/td>\nReturns the natural logarithm of 1+x<\/span><\/td>\n<\/tr>\n
    log2(x)<\/span><\/td>\nReturns the base-2 logarithm of x<\/span><\/td>\n<\/tr>\n
    sqrt(x)<\/span><\/td>\nReturns the square root of x<\/span><\/td>\n<\/tr>\n
    acos(x)<\/span><\/td>\nReturns the arc cosine of x<\/span><\/td>\n<\/tr>\n
    asin(x)<\/span><\/td>\nReturns the arc sine of x<\/span><\/td>\n<\/tr>\n
    atan(x)<\/span><\/td>\nReturns the arc tangent of x<\/span><\/td>\n<\/tr>\n
    atan2(y, x)<\/span><\/td>\nReturns atan(y \/ x)<\/span><\/td>\n<\/tr>\n
    cos(x)<\/span><\/td>\nReturns the cosine of x<\/span><\/td>\n<\/tr>\n
    hypot(x, y)<\/span><\/td>\nReturns the Euclidean norm, sqrt(x*x + y*y)<\/span><\/td>\n<\/tr>\n
    sin(x)<\/span><\/td>\nReturns the sine of x<\/span><\/td>\n<\/tr>\n
    tan(x)<\/span><\/td>\nReturns the tangent of x<\/span><\/td>\n<\/tr>\n
    degrees(x)<\/span><\/td>\nConverts angle x from radians to degrees<\/span><\/td>\n<\/tr>\n
    radians(x)<\/span><\/td>\nConverts angle x from degrees to radians<\/span><\/td>\n<\/tr>\n
    acosh(x)<\/span><\/td>\nReturns the inverse hyperbolic cosine of x<\/span><\/td>\n<\/tr>\n
    asinh(x)<\/span><\/td>\nReturns the inverse hyperbolic sine of x<\/span><\/td>\n<\/tr>\n
    atanh(x)<\/span><\/td>\nReturns the inverse hyperbolic tangent of x<\/span><\/td>\n<\/tr>\n
    cosh(x)<\/span><\/td>\nReturns the hyperbolic cosine of x<\/span><\/td>\n<\/tr>\n
    sinh(x)<\/span><\/td>\nReturns the hyperbolic cosine of x<\/span><\/td>\n<\/tr>\n
    tanh(x)<\/span><\/td>\nReturns the hyperbolic tangent of x<\/span><\/td>\n<\/tr>\n
    erf(x)<\/span><\/td>\nReturns the error function at x<\/span><\/td>\n<\/tr>\n
    erfc(x)<\/span><\/td>\nReturns the complementary error function at x<\/span><\/td>\n<\/tr>\n
    gamma(x)<\/span><\/td>\nReturns the Gamma function at x<\/span><\/td>\n<\/tr>\n
    lgamma(x)<\/span><\/td>\nReturns the natural logarithm of the absolute value of the Gamma function at x<\/span><\/td>\n<\/tr>\n
    pi<\/span><\/td>\nMathematical constant, the ratio of circumference of a circle to it’s diameter (3.14159…)<\/span><\/td>\n<\/tr>\n
    e<\/span><\/td>\nmathematical constant e (2.71828…)<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
    Functions available in python\u2019s math module<\/h3>\n
    1. math.sqrt(x):<\/strong> Returns the square root of x.<\/p>\n
    Example:<\/strong><\/strong><\/p>\n
    import math\n\nprint(math.sqrt(16)) # Output: 4.0\n<\/pre>\n
    2. math.floor(x):<\/b> <\/strong>Returns the largest integer less than or equal to x.<\/p>\n
    Example:<\/strong><\/strong><\/p>\n
    import math\n\nprint(math.floor(3.14)) # Output: 3\n<\/pre>\n
    3. math.ceil(x):<\/b> Returns the smallest integer greater than or equal to x.
    \n<\/b><\/b><\/p>\n
    Example:<\/strong><\/b><\/b><\/p>\n
    import math\n\nprint(math.ceil(3.14)) # Output: 4\n<\/pre>\n
    4. math.exp(x):<\/b> Returns e raised to the power of x.<\/p>\n
    Example:<\/strong><\/strong><\/p>\n
    import math\n\nprint(math.exp(1)) # Output: 2.718281828459045\n<\/pre>\n
    5. math.log(x[, base]): <\/b>Returns the natural logarithm of x, or the logarithm of x to base if specified.<\/p>\n
    Example:<\/strong><\/p>\n
    import math\n\nprint(math.log(100)) # Output: 4.605170185988092\nprint(math.log(100, 10)) # Output: 2.0\n<\/pre>\n
    6. math.log10(x): Returns the base-10 logarithm of x.<\/span>
    \n<\/b><\/b><\/p>\n
    Example:<\/strong><\/b><\/b><\/p>\n
    import math\n\nprint(math.log10(100)) # Output: 2.0\n<\/pre>\n
    7. math.sin(x): Returns the sine of x (measured in radians).<\/span>
    \n<\/b><\/b><\/p>\n
    Example:<\/strong><\/b><\/b><\/p>\n
    import math\n\nprint(math.sin(math.pi \/ 2)) # Output: 1.0\n<\/pre>\n
    8. math.cos(x): Returns the cosine of x (measured in radians).<\/span>
    \n<\/b><\/b><\/p>\n
    Example:<\/strong><\/b><\/b><\/p>\n
    import math\n\nprint(math.cos(0)) # Output: 1.0\n<\/pre>\n
    9. math.tan(x): Returns the tangent of x (measured in radians).
    \n<\/span><\/b><\/b><\/b><\/b><\/p>\n
    Example:<\/b><\/b><\/p>\n
    import math\n\nprint(math.tan(math.pi \/ 4)) # Output: 1.0\n<\/pre>\n
    10. math.asin(x): Returns the arcsine of x, in radians.<\/span>
    \n<\/b><\/b><\/p>\n
    Example:<\/b><\/b><\/p>\n
    import math\n\nprint(math.asin(1)) # Output: 1.5707963267948966\n<\/pre>\n
    11. math.acos(x):<\/b>\u00a0Returns the arccosine of x, in radians.
    \n<\/b><\/span><\/span><\/p>\n
    Example:<\/b><\/span><\/span><\/p>\n
    import math\n\nprint(math.acos(0)) # Output: 1.5707963267948966\n<\/pre>\n
    12. math.atan(x): Returns the arctangent of x, in radians.
    \n<\/span><\/b><\/b><\/p>\n
    Example:<\/strong><\/span><\/b><\/b><\/p>\n
    import math\n\nprint(math.atan(1)) # Output: 0.7853981633974483\n<\/pre>\n
    13. math.degrees(x): <\/b>Converts angle x from radians to degrees.
    \n<\/b><\/span><\/span><\/p>\n
    Example:<\/strong><\/b><\/span><\/span><\/p>\n
    import math\n\nprint(math.degrees(math.pi)) # Output: 180.0\n<\/pre>\n
    14. math.radians(x): Converts angle x from degrees to radians.<\/span>
    \n<\/b><\/b><\/p>\n
    Example:<\/strong><\/span><\/b><\/b><\/p>\n
    import math\n\nprint(math.radians(180)) # Output: 3.141592653589793\n<\/pre>\n
    15. math.pi: The mathematical constant pi (3.14159…).
    \n<\/span><\/b><\/b><\/b><\/b><\/p>\n
    Example:<\/b><\/b><\/p>\n
    import math\n\nprint(math.pi) # Output: 3.141592653589793\n<\/pre>\n
    16. math.e: The mathematical constant e (2.71828…).
    \n<\/span><\/b><\/b><\/b><\/b><\/p>\n
    Example:<\/b><\/b><\/p>\n
    import math\n\nprint(math.e) # Output: 2.718281828459045\n<\/pre>\n
    17. math.inf: Positive infinity.<\/span>
    \n<\/b><\/b><\/p>\n
    Example:<\/b><\/b><\/p>\n
    import math\n\nprint(math.inf) # Output: inf\n<\/pre>\n
    18. math.isinf(x): Returns True if x is a positive or negative infinity, False otherwise.<\/span>
    \n<\/b><\/b><\/p>\n
    Example:<\/b><\/b><\/p>\n
    import math\n\nprint(math.isinf(math.inf)) # Output: True\n<\/pre>\n
    19. math.isnan(x): <\/b>Returns True if x is NaN (Not a Number), False otherwise.
    \n<\/span><\/span><\/b><\/b><\/p>\n
    Example:<\/b><\/b><\/p>\n
    import math\n\nprint(math.isnan(math.sqrt(-1))) # Output: True\n<\/pre>\n
    20. math.copysign(x, y): <\/b>Returns a float with the magnitude (absolute value) of x but the sign of y.
    \n<\/b><\/span><\/span><\/p>\n
    Example:<\/b><\/span><\/span><\/p>\n
    import math\n\nprint(math.copysign(10, -1)) # Output: -10.0\n<\/pre>\n
    Conclusion<\/h3>\n
    The math module in Python provides a wide range of mathematical functions and constants that can be used to perform various mathematical calculations and operations. The module includes basic mathematical functions such as square root, trigonometric functions, logarithmic functions, and others, as well as mathematical constants such as pi and e.<\/p>\n
    To use the functions and constants provided by the math module, you need to import it using the import statement. The math module is a built-in Python library, so it does not need to be installed separately. In conclusion, the math module in Python is a powerful tool for performing mathematical calculations and operations, and it is widely used in various scientific, engineering, and mathematical applications.<\/p>\n","protected":false},"excerpt":{"rendered":"
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