An introduction to abstract algebra | Abstract Algebra Math Foundations 213 | NJ Wildberger

How do we set up abstract algebra? In other words, how do we define basic algebraic objects such as groups, rings, fields, vector spaces, algebras, lattices, modules, Lie algebras, hypergroups etc etc??

This is a hugely important question, and not an easy one to answer. In this video we start by giving a bird's eye view of some basic examples, namely the first four kinds of objects on this list.

We will not attempt complete definitions, but just rather provide intuitive example based descriptions, using the standard thinking current in mathematics these days. In some videos, we will be looking to reorganize our understanding of all of these topics by being much more precise and careful, and utilizing our knowledge of data structures.

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Here are the Insights into Mathematics Playlists:

[poppetrurazvan]

I absolutely love it. Thank you, Razvan

[neurophilosophers]

Such a good teacher ! Will definitely watch this series

[hectorrodriguez]

Amazing lecture with patient and real knowledge!

[johnadriandodge]

We are going to do Field Theory Correctly. I like that!