課程大綱及進度表

A classical (and very important) theorem in advanced calculus about local behavior of a smooth function versus its derivative is the inverse function the- orem.. It says that if a

Observing that the second term on the right is less than or equal to 2 (by Claim 1) enables us to use the Squeeze Theorem and conclude that the product on the right tends to 0,

The theorem says that a continuously differentiable function f between regions in R n is locally invertible near points where its differential is invertible... In

Some topics that will be covered along the way include the notion of manifolds, vector fields, differential forms, Stokes theorem, Frobenius theorem, and an introduction to de

Residues on buildings and de Rham cohomology of p-adic symmetric domains.

教學目標 We expect to grab the basic idea and concept of calculus for one variable function, then to extend those to functions of several variables.. 授課課程大綱明細

教學目標 We expect to grab the basic idea and concept of advanced calculus for one variable function, then to extend those to functions of several variables.. 授課課程大綱明細

Proof of Inverse Function Theorem..