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Lecture Notes in Mathematics

ETH-CAM-MATHS 최신버젼 다운로드

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# 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](/Algebra/ETH_Algebra.pdf)

* [ETH Algebra I & II (HS 2019  & FS 2020, Prof. R. Pink) in German](/Algebra/ETH_Algebra_I_II_Summary.pdf)
* [ETH Group Theory (PD Dr. L. Halbeisen) in English](/Algebra/ETH_Group_Theory.pdf)
* [ETH Linear Algebra I & II (HS 2015 & FS 2016, Prof. E. Kowalski) in English](/Algebra/ETH_Linear_Algebra_I_II.pdf)
* [ETH Multilinear Algebra (FS 2020 PD Dr. L. Halbeisen) in English](/Algebra/Multilinear_Algebra.pdf)

## Analysis (selected list)

* [CAM Analysis I (Prof. T.W. Körner) in English](/Analysis/CAM_Analysis_I.pdf)
* [CAM Analysis II (Prof. T.W. Körner) in English](/Analysis/CAM_Analysis_II.pdf)
* [CAM Linear Analysis (Prof. T.W. Körner) in English](/Analysis/CAM_LA.pdf)
* [ETH Functional Analysis I (Dr. T. Bühler, Prof. em. D.A. Salamon) in English](/Analysis/FA_ETH_2017.pdf)

* [ETH Functional Analysis I & II (Prof. Michael Struwe) in German](/Analysis/FA-I-II-11-9-2014.pdf)

* [ETH Analysis I & II (Prof. M. Einsiedler, Prof. A. Wieser) in German](/Analysis/Math_Analysis_I_II_German_ETH.pdf)

## Differential equations

* [CAM Mathematical Methods [PDE] (Dr. David Skinner) in English](/Differential%20Equations/CAM_MATH_METHODS.pdf )
* [CAM Ordinary Differential Equation (Prof. M. G. Worster, Notes taken by D. Chua) in English](/Differential%20Equations/CAM_ordinary_differential_equations.pdf)
* [CAM Integrable Systems (Dr. A. Ashton, Notes taken by D. Chua) in English](/Differential%20Equations/integrable_systems.pdf)
* [CAM Variational Principles (Prof. P.K. Townsend, Notes taken by D. Chua) in English](/Differential%20Equations/variational_principles.pdf)

## Measure theory

* [ETH Measure and Integration (Prof. F. Da Lio) in English](/Measure%20Theory%20(Analysis%20III)/ETH%20Measure%20&%20Integration.pdf)
* [ETH Measure and Integral (Prof. E. Kowalski) in English](/Measure%20Theory%20(Analysis%20III)/ETH_measure_integral.pdf)
* [CAM Metrics and Topological Spaces (Prof. T.W. Körner) in English](/Measure%20Theory%20(Analysis%20III)/Metrics%20and%20Spaces.pdf)

## Topology

* [ETH Introductory Point-Set Topology (Prof. A. Hatcher {Cornell University}) in English](/Topology/ETH_Topology.pdf)
* [ETH Differential Topology (Prof. J. W. Robbin {UW Madison}, Prof. em. D.A. Salamon) in English](/Topology/difftop.pdf)
* [ETH Algebraic Topology (Cornell University: Prof. A. Hatcher) in English](/Topology/Algebraic%20Topology.pdf)
* [CAM Algebraic Topology (Prof. H. Wilton, Notes taken by D. Chua) in English](/Topology/cam_algebraic_topology.pdf)

## Geometry

* [CAM Geometry (Dr. T. K. Carne) in English](/Geometry/CAM_2002.pdf)
* [ETH Diffential Geometry I (Prof. U. Lang) in English](/Geometry/ETH_Diff_Geometry.pdf)
* [ETH Differential Germetry II (Prof. U. Lang) in English](/Geometry/ETH_diffgeom2.pdf)

## Numerical Analysis

* [ETH Numerical Methods for ODE (Prof. H. Ammari, Dr. L. Baldassari, Dr. A. Scapin) in English](/Numerical%20Analysis/ETH_NSODE.pdf)
* [CAM Numerical Analysis (Dr. S.J. Crowley) in English](/Numerical%20Analysis/cam_numerical_analysis.pdf)

## Optimization

* [ETH Mathematical Optimization (Prof. R. Zenklusen) in English](/Optimization/ETH_version.pdf)
* [CAM_Optimization (Prof. R. Weber) in English](/Optimization/CAM_version.pdf)
* [CAM Optimization and Control (Prof. R. Weber) in English](/Optimization/Opt%20&%20Control.pdf)

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