Start Learning Sets 6 | Injectivity, Surjectivity and Bijectivity [dark version]

Please consider to support me if this video was helpful such that I can continue to produce them :)

🙏 Thanks to all supporters! They are mentioned in the credits of the video :)

This is my video series about Start Learning Sets. We discuss basic definition, like union and intersection, and also go into the details of maps and functions. I hope that it will help everyone who wants to learn about it.

x

#StartLearningMathematics
#Mathematics
#LearnMath
#calculus
x

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)

[letsimage]

5:37 also, I think it will be nice to mention, that if take a map from integers, it will not be injective, because for each value of range there would be 2 possible options +-x

[Jaylooker]

This is good to know when working with short exact sequences and their derived long exact sequences

[geekoutnerd]

Is it likely that you’d do a series on algebraic geometry? If not do you have any resources or books that introduce the subject at a level that is accessible to undergraduates?

I’d really love to see a series on Algebraic Geometry. The few playlists that I’ve found on YouTube are either terse or entire lecture series. I’d like to get an understanding of what the subject is about to see if it’s something I would like to study in graduate school.

I really appreciate your channel. It has proved to be a great resource.

[yurikaneumi]

another word for "surjective" is "onto"
and "one-to-one" is another word for "injective" not for "bijective"
surjective = onto
injective = one-to-one
invertible = bijective