History 18-1

This is one of the best all around sites that I have found. It is titled “The MacTutor History of Mathematics Archive.”
http://www-history.mcs.st-and.ac.uk/~history

This is an award-winning site that links to all sorts of mathematics information.
https://mathshistory.st-andrews.ac.uk/HistTopics/History_overview

Isaac Newton:
https://mathshistory.st-andrews.ac.uk/Biographies/Newton.htmlSee the whole entry

Section 18.4: Integrals

18.4 Outline

  1. Area function
    1. definition
    2. antiderivative
    3. antiderivative of; ex.
    4. properties of antiderivative
      1. constant multiple
      2. antiderivative of a sum
  2. Antiderivative’s as area
  3. The definite integral
    1. definition
    2. integral
    3. limits of integration
    4. dummy variable
    5. indefinite integral
  4. Areas as antiderivatives

 

18.4 Essential Ideas

See the whole entry

Section 18.1: What is Calculus?

18.1 Outline

  1. What is Calculus?
    1. Calculus is the mathematics of motion and change.
    2. The three main ideas of calculus are limit, derivative, and integral
  2. The Limit: Zeno’s Paradox
    1. Achilles and the tortoise
    2. limit of a sequence
  3. The derivative: the tangent
See the whole entry