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Number Theory: Prime Numbers, Factors, Counting Factors, D-Function (1/3)

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Uploaded by on Jun 3, 2010

Part 1/3

The following lesson covers:
-Prime Numbers
-Factors (and Unique Factorization Theorem/Fundamental Theorem of Arithmetic)
-Factors
-Counting Factors
-Multiplicative Functions (basic)
-d(n) : The D-Function (for counting divisors

Useful sources to refer to this information:
"Number Theory for Computing" by Song Y. Yan (Springer 2nd edition)
"Elementary Number Theory" by Underwood Dudley (2nd edition)

I hope you enjoy this video :). If you have any questions please leave a comment or if you have any recommendations for topics to talk about please comment or message me!

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Uploader Comments (Entertainmentwf)

  • Hey thanks for the video! If I am interested in number theory topics, are you able to recommend good books or text books about this subject to at least give me a place to start from?

    Thanks!

  • @Triathletep If you are interested in classical number theory I can recommend "Elementary Number Theory" by Underwood Dudley. It covers a lot of topics and doesn't lose shine on the formalism. It covers most of the popular topics.

  • @Entertainmentwf thanks!

  • @Triathletep Anytime :)!

  • whats elementary number theory ?..

  • @Tupacbldz Elementary Number Theory involves the use of basic axioms regarding numbers to prove or demonstrate results. Other common types of Number Theory include Analytic Number Theory, Algebraic Number Theory, Combinatorial Number Theory, Computational Number Theory (Algorithmic Number Theory), and a few others.

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All Comments (19)

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  • @gentletosh7 Slip ups naturally happen in arithmetic here and there. The important thing is to take the mathematics and not the numbers since in number theory, the patterns are what matter since one could simply change the symbols. I had this pointed out to me before but, thank you for pointing it out again.

  • 3*8 != 18

  • @onixz100 LOL. I know it's awkward as heck. XD.

  • Of course, left handed, just like most mathematicians.

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