Start Learning Numbers 10 | Rational Numbers (Addition and Multiplication)

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This is my video series about Start Learning Numbers. I hope that it will help everyone who wants to learn about the construction of numbers. This is something one needs as a good foundation for all advanced mathematics.
#StartLearningMathematics
#Mathematics
#LearnMath
#calculus
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I hope that this helps students, pupils and others. Have fun!
(This explanation fits to lectures for students in their first and second year of study: Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on)

[@kaidenschmidt157]

Wow, I just watched the whole series up to here. It’s so frustrating to have to wait to keep watching because I’m enjoying this so much! The simple pleasure from your delightful explanations is so motivating. I intend to learn more now!

[@brightsideofmaths]

Thank you :)

[@gauravnainwal5026]

Just love your content. It's so much better than going through pages of a huge book.

[@brightsideofmaths]

Glad you enjoy it!

[@picklesueat123456789]

Where can I find a textbook on this stuff at a similar difficulty? I’ve followed the whole series so far but I need to review to keep up. Thanks!

[@brightsideofmaths]

That is a good question and I don't have a definitive answer there. I need to look into some books first to see which fits my explanations.

[@picklesueat123456789]

@@brightsideofmaths that would be awesome, thanks for the videos I have really been enjoying them

[@penfever]

Any update on this topic? The videos make sense, but I would like to work some exercises as well

[@Galaxia496]

Try Elements of Set Theory by Herbert Enderton. He covers construction of the naturals, integers, and rationals in a manner very similar to the presentation given on this channel. However, he constructs the real numbers using Dedekind cuts instead of Cauchy sequences, as this channel does. This isn't a big problem, as the two construction methods are in fact equivalent (they imply the other). The Cauchy sequence construction of the reals is fairly common, so you should be able to easily find it on the web.

[@michaelpiano8403]

hi is there a book that you use as a reference in this course? or any recommendations? this is because id want some exercises, tysm

[@brightsideofmaths]

Maybe my quizzes already help. I don't use a particular book here.

[@muhammadjunaid5166]

Hi ! first of all thank you so much for the wonderful series. I wanted to ask :
Q. what does these notations mean "Z\{0} " or "Q\{0}" ?

[@brightsideofmaths]

Thanks! You mean the set difference? I explained it in Start Learning Sets Part 3.

[@muhammadjunaid5166]

@@brightsideofmaths Thanks

[@Xactenergy]

Wird es diese Playlist auch auf Deutsch geben? :)

[@brightsideofmaths]

Ja, aber erst wenn sie fertig ist :)