ETH Zürich & Cambridge Math Tripos Lecture Notes

ETH & 剑桥大学数学系本科硕士基础课程讲义

Introduction

This is a personal repository for mathematics and physics pre-learners or post-learners who wish to preview or review the fundamental mathematical theorems and proofs.

As for German version for English learners, I would say that if you really love to learn maths at a higher level, German will certainly not be a problem. Instead, you will find more insights and Eurekas while learning maths in German textbooks and lecture notes.

REMINDER: These lecture notes are for academic and personal reference only. Any form of commercial use is illegal and should be strictly prohibited. 请注意本repo的内容仅供学术和个人参考，任何形式的商用均属非法且应被严格禁止。

Feel free to star and fork this repo!

Algebra

• ETH Algebra (Prof. em. U. Stammbach) in German

• ETH Algebra I & II (HS 2019 & FS 2020, Prof. R. Pink) in German

• ETH Group Theory (PD Dr. L. Halbeisen) in English

• ETH Linear Algebra I & II (HS 2015 & FS 2016, Prof. E. Kowalski) in English

• ETH Multilinear Algebra (FS 2020 PD Dr. L. Halbeisen) in English

Analysis (selected list)

• CAM Analysis I (Prof. T.W. Körner) in English

• CAM Analysis II (Prof. T.W. Körner) in English

• CAM Linear Analysis (Prof. T.W. Körner) in English

• ETH Functional Analysis I (Dr. T. Bühler, Prof. em. D.A. Salamon) in English

• ETH Functional Analysis I & II (Prof. Michael Struwe) in German

• ETH Analysis I & II (Prof. M. Einsiedler, Prof. A. Wieser) in German

Differential equations

• CAM Mathematical Methods [PDE] (Dr. David Skinner) in English
• CAM Ordinary Differential Equation (Prof. M. G. Worster, Notes taken by D. Chua) in English
• CAM Integrable Systems (Dr. A. Ashton, Notes taken by D. Chua) in English
• CAM Variational Principles (Prof. P.K. Townsend, Notes taken by D. Chua) in English

Measure theory

• ETH Measure and Integration (Prof. F. Da Lio) in English
• ETH Measure and Integral (Prof. E. Kowalski) in English
• CAM Metrics and Topological Spaces (Prof. T.W. Körner) in English

Topology

• ETH Introductory Point-Set Topology (Prof. A. Hatcher {Cornell University}) in English
• ETH Differential Topology (Prof. J. W. Robbin {UW Madison}, Prof. em. D.A. Salamon) in English
• ETH Algebraic Topology (Cornell University: Prof. A. Hatcher) in English
• CAM Algebraic Topology (Prof. H. Wilton, Notes taken by D. Chua) in English

Geometry

• CAM Geometry (Dr. T. K. Carne) in English
• ETH Diffential Geometry I (Prof. U. Lang) in English
• ETH Differential Germetry II (Prof. U. Lang) in English

Numerical Analysis

• ETH Numerical Methods for ODE (Prof. H. Ammari, Dr. L. Baldassari, Dr. A. Scapin) in English
• CAM Numerical Analysis (Dr. S.J. Crowley) in English

Optimization

• ETH Mathematical Optimization (Prof. R. Zenklusen) in English
• CAM_Optimization (Prof. R. Weber) in English
• CAM Optimization and Control (Prof. R. Weber) in English