課程大綱及進度表

2.1 Sums, Products, and Compositions 2.2 Sequential Pointwise Limits and Simple Approximation 2.3 Littlewood’s Three Principles, Egoroff’s. Theorem, and Lusin’s Theorem

(2) Pappus’s Theorem on Volumes (3) Arc length and Surface Area. (4) Pappus’s Theorem on Surface Areas

R.L.Burden ,Wadsworth Group Brooks/Cole 2、Elementary Numerical Analysis，Kendall Atkinson.. John Wiley

calculation of real cohomology groups using differential forms (de Rham theory), and applications such as the Poincare-Hopf theorem relating the Euler number of a manifold and the

Herstein, Abstract Algebra, 3 rd Edition..

課程概述 to solve problems encountered in science or daily life.. 授課課程大綱明細

課程概述（中文、英文） 這是一門數學系二年級高微的延 續課程。內容包含 Divergence 和 Stokes’s 定理；Fourier Series。2. This course is a continuation of the second year Advanced

課程名稱（英文） Algebraic Automaton Theory. 課程碼