Python Math Basics

Python Maths Basics

• Python is picky about the type of numbers it likes to work with, specifically integers (whole numbers) and floating-point numbers (decimal point numbers).
• Python has a built-in math module that provides various functions for mathematical operations.

Min and Max Functions

• The min and max functions can be used to find the lowest or highest value in a list.
• Example: x = min(10, 100, 1000) and y = max(5, 10, 25) returns the minimum and maximum values in the lists.

Pow Function

• The pow function returns the value of x to the power of y.
• Example: pow(5, 4) returns the value of 5 to the power of 4, which is equivalent to 5 * 5 * 5 * 5.

Sum Function

• The sum function returns the sum of all the elements in a list.
• Example: my_list = [1, 2, 3, 4, 5] and print(sum(my_list)) returns the sum of the elements in the list.

Round Function

• The round function rounds a number to the nearest integer or a specified number of decimal places.
• Example: print(round(3.14159, 2)) returns the value of Pi rounded to 2 decimal places.

Importing Math Library

• To use advanced math functions, you need to import the math library.
• Example: import math allows you to use functions like math.pi, math.sin, math.cos, and more.

Basic Arithmetic Using Math Library

• The math library provides basic arithmetic functions like math.sqrt for square roots and math.pow for exponentiation.

Trigonometric Functions

• The math library provides trigonometric functions like math.sin, math.cos, and math.tan for dealing with angles.

Exponential and Logarithmic Functions

• The math library provides exponential and logarithmic functions like math.exp and math.log for calculating exponential and logarithmic values.

Constants

• The math library provides constants like math.pi and math.e for mathematical calculations.

Rounding Functions

• The math library provides rounding functions like math.floor for rounding down, math.ceil for rounding up, and math.round for rounding to the nearest integer.

Power and Square Root

• The math library provides functions for power and square root calculations like math.pow and math.sqrt.

Absolute Value

• The math library provides a function for calculating the absolute value of a number like math.abs.

Factorial

• The math library provides a function for calculating the factorial of a number like math.factorial.

Degrees and Radians

• The math library provides functions for converting between degrees and radians like math.radians and math.degrees.

Hyperbolic Functions

• The math library provides functions for hyperbolic calculations like math.sinh, math.cosh, and math.tanh.

Challenges

• There are three challenges: decimal doubling, big square root, and shape selector, which require using the math library and basic arithmetic operations.
• The challenges are designed to practice and reinforce the concepts learned in the video.

Python Maths Basics

• Python supports two types of numbers: integers (whole numbers) and floating-point numbers (decimal point numbers).

Min and Max Functions

• The min function returns the lowest value in a list.
• The max function returns the highest value in a list.
• Both functions can take multiple arguments.

Pow Function

• The pow function raises x to the power of y.
• Example: pow(5, 4) is equivalent to 5 * 5 * 5 * 5.

Sum Function

• The sum function returns the total of all elements in a list.

Round Function

• The round function rounds a number to the nearest integer or a specified number of decimal places.
• Example: round(3.14159, 2) returns Pi rounded to 2 decimal places.

Importing Math Library

• The math library provides advanced math functions.
• To use the math library, import it with import math.

Basic Arithmetic Using Math Library

• The math library includes basic arithmetic functions:
  • math.sqrt for square roots
  • math.pow for exponentiation

Trigonometric Functions

• The math library includes trigonometric functions:
  • math.sin for sine
  • math.cos for cosine
  • math.tan for tangent

Exponential and Logarithmic Functions

• The math library includes exponential and logarithmic functions:
  • math.exp for exponential
  • math.log for logarithmic

Constants

• The math library includes mathematical constants:
  • math.pi for Pi
  • math.e for Euler's number

Rounding Functions

• The math library includes rounding functions:
  • math.floor for rounding down
  • math.ceil for rounding up
  • math.trunc for rounding to the nearest integer

Power and Square Root

• The math library includes functions for power and square root calculations:
  • math.pow for exponentiation
  • math.sqrt for square roots

Absolute Value

• The math library includes a function for calculating absolute value:
  • math.abs

Factorial

• The math library includes a function for calculating the factorial of a number:
  • math.factorial

Degrees and Radians

• The math library includes functions for converting between degrees and radians:
  • math.radians for converting degrees to radians
  • math.degrees for converting radians to degrees

Hyperbolic Functions

• The math library includes functions for hyperbolic calculations:
  • math.sinh for hyperbolic sine
  • math.cosh for hyperbolic cosine
  • math.tanh for hyperbolic tangent