A Proper Understanding Of Vector Spaces (They don't teach you this at school either!) Part I

Описание: Welcome to another lesson they never bothered to include in your so-called AP Calculus classes, your horrid Stewart textbook, or any “honors” course proudly advertised in American high schools. In this video, we journey into the foundational axioms of vector spaces over ℝ³: yes, the actual structure, the type of approach Bourbaki would recognize. We’re here to understand the bones of proper algebra and mathematics generally: axiomatically!

This is mathematics as it was meant to be taught—not optimized for mass consumption, but preserved in its most unadulterated form.

Topics Covered:
• Vectors in ℝ³
• Scalar multiplication and addition
• The eight axioms of vector spaces
• Linear structure and formal reasoning