remember, here we allow bilingual or trilingual comments,
|Abstract Multilinear Algebra|
|Multilinear Algebra of Inner Product Spaces|
|Algebraic Differential Geometry||
(topological, differential, analytic, anti-analytic, aritmetic,…)
|Examples: Lie groups and Fiber bundles|
Among the many things that I would like to tell is about the role that unfolds modern math in the way we see nature and social phenomena today, right now
I am always wondering what would it be to have the best techniques and tools to solve problems
Certainly the tools could be too complex
but about the generalization of calculus, geometry and linear algebra, which amalgamate into differential geometry, it isn’t yet that much too complex that a modern learner could be reaching at his-her early age.
Think, it is about 130 year ago that vector analysis was incorporated to the engineering schools, but 170 years ago that someone thought about the posibility of abstract algebraic-geometric structures
Yes, the grassmann construction
So, do you still going to allow to teach you spoil teachers and habits to reach the tools to do real advances to the today knowledge?