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Can I read Lec 04 on EtoBox?

Lec 04 by ljc19920423 is a document available to read on EtoBox.

What is Lec 04 about?

This document discusses smooth maps between smooth manifolds, defining smoothness in terms of charts and establishing the concept of diffeomorphisms. It also introduces tangent vectors as linear maps satisfying the Leibnitz law and provides a geometric interpretation of tangent vectors through smooth curves. The differential of a smooth map is defined, linking it to the Jacobian matrix in Euclidean spaces.

Author
ljc19920423
Language
EN