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Abstract Algebra

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This is a notes cotains context about Field theory, Galois theory, Grothendieck’s Galois theory, which can help us familiar with PhD Qualify Exam.

Algebraic Topology

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This is a notes mainly focus on fiber bundles, K-theory, characteristic theory, follows the content in the book fiber bundles and homotopy theory by Dai Tamaki.

Intro to manifolds

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This is a notes mainly concerns with basic manifold language.Thanks for Prof. Wu teaching me this!

Topics in Analysis

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This is a notes includes some techniques, theorems, inequalities in analysis.

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AI4ADLV

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MATH 1010, University Mathematics

Undergraduate course, CUHK, Department Of Mathematics, 2023

This course is designed for students who need to acquire the knowledge and skills of one-variable calculus at a general level for the studies in science or engineering. The course places special emphasis on the theoretical foundations as well as the methods and techniques of computation and their applications.