Transcendental Numbers...5

Discussion in 'Other Pre-University Math' started by nycmathguy, Jun 1, 2022.

  1. nycmathguy

    nycmathguy

    Joined:
    Jun 27, 2021
    Messages:
    5,386
    Likes Received:
    420
    What role does the number e play in Calculus l, ll, lll?

    Same question for pi in terms of Calculus l, ll, lll.

    This is it for today.
     
    nycmathguy, Jun 1, 2022
    #1
    1. Advertisements

  2. nycmathguy

    MathLover1

    Joined:
    Jun 27, 2021
    Messages:
    2,989
    Likes Received:
    2,883
    both play huge role

    Whoever have taken an entry level calculus course, should have probably run into Euler’s constant, since it’s the base for the natural logarithms.
    It looks like this: e^(ln( x))= x

    e
    is the base of the natural logarithm, so it will be used constantly
    Archimedes' π is defined as “the ratio of the circumference of a circle to its diameter.”
     
    MathLover1, Jun 1, 2022
    #2
    nycmathguy likes this.
    1. Advertisements

  3. nycmathguy

    nycmathguy

    Joined:
    Jun 27, 2021
    Messages:
    5,386
    Likes Received:
    420
    Going back to e^(ln x) = x, if x = 50, then we can say that e^(ln 50) = 50. Yes?
     
    nycmathguy, Jun 1, 2022
    #3
  4. nycmathguy

    MathLover1

    Joined:
    Jun 27, 2021
    Messages:
    2,989
    Likes Received:
    2,883
    yes
     
    MathLover1, Jun 1, 2022
    #4
    nycmathguy likes this.
  5. nycmathguy

    nycmathguy

    Joined:
    Jun 27, 2021
    Messages:
    5,386
    Likes Received:
    420
    This is cool.

    Look: e^(ln Math) = Math.
     
    nycmathguy, Jun 1, 2022
    #5
    1. Advertisements

Ask a Question

Want to reply to this thread or ask your own question?

You'll need to choose a username for the site, which only take a couple of moments (here). After that, you can post your question and our members will help you out.