Wen Gao 的小站
所有文章 标签 分类 系列 关于 学习日志
Wen Gao 的小站

目录

目录

我的数学之旅

Wen Gao avatarWen Gao  收录于  类别 数学
     约 2654 字   预计阅读 12 分钟 

于是余有叹焉。古人之观于天地、山川、草木、虫鱼、鸟兽，往往有得，以其求思之深而无不在也。夫夷以近，则游者众；险以远，则至者少。而世之奇伟、瑰怪，非常之观，常在于险远，而人之所罕至焉，故非有志者不能至也。有志矣，不随以止也，然力不足者，亦不能至也。有志与力，而又不随以怠，至于幽暗昏惑而无物以相之，亦不能至也。然力足以至焉，于人为可讥，而在己为有悔；尽吾志也而不能至者，可以无悔矣，其孰能讥之乎？此余之所得也！—— （宋）王安石《游褒禅山记》

31 常用教科書列表與簡評 | 臺大數學系 (ntu.edu.tw)

  • 18.02 Multivariable Calculus
  • 18.06 Linear Algebra
  • 18.03 x Differential Equations
  • 18.03 SC
  • 18.034 Honor Differential Equations
  • 18.065 Matrix Methods in Data Analysis, Signal Processing, and Machine Learning
  • 18.05 Introduction to Probability and Statistics
  • 6.3700 Introduction to Probability
  • 6.3800 Introduction to Inference
  • 18.05 Introduction to Probability and Statistics
  • 18.600 Probability and Random Variables
  • 18.650 Fundamentals of Statistics
  • 6.042 J Mathematics for Computer Science
  • Intro to Mathematical Reasoning
  • Principles of discrete Applied mathematics
  • 18.510 Introduction to Mathematical Logic and Set Theory
  • 18.504 Seminar in Logic
  • 18.515 Mathematical Logic
  • 18.700 Advanced Linear Algebra
  • 18.700 Course page (mit.edu) 现代版 Reading 完成并总结，总结见此
  • 18.700 Course page (mit.edu) 现代版 Problem Sets 完成并总结，总结见此
  • Math 115A (ucla.edu) 陶哲轩亲授：linear-algebra-notes.pdf (wordpress.com)
  • 18.303 Linear Partial Differential Equations: Analysis and Numerics
  • 18.330 Introduction to Numerical Analysis
  • 18.04 Complex Variables with applications
  • 18.100A Real Analysis
  • 18.100B Real Analysis
  • 18.100P Real Analysis
  • 18.100Q Real Analysis
  • 18.S190 Introduction To Metric Spaces 或 18.S190, IAP 2023 (mit.edu)
  • 18. S191 index — Interactive Computational Thinking — MIT
  • 18.701 Algebra I
  • 18.335[J] Introduction to Numerical Methods
  • 6.7300[J] Introduction to Modeling and Simulation
  • 16.920[J] Numerical Methods for Partial Differential Equations
  • 18.085 Computational Science and Engineering I
  • 18.336[J] Fast Methods for Partial Differential and Integral Equation
  • 18. C 06 Linear Algebra and Optimization
  • Linear Algebra and Optimization for Machine Learning 阅读
  • cis515-13-sl1-a.pdf (upenn.edu)
  • Introduction to Applied Linear Algebra – Vectors, Matrices, and Least Squares (stanford.edu)
  • 18.204 Undergraduate Seminar in Discrete Mathematics
  • 18.211 Combinatorial Analysis
  • 6.120A Discrete Mathematics and Proof for Computer Science
  • 6.1210 Introduction to Algorithms
  • 6.045 J Automata, Computability, and Complexity
  • 18.400[J] Computability and Complexity Theory
  • 18.404 Theory of Computation
  • 18.410[J] Design and Analysis of Algorithms
  • 18.424 Seminar in Information Theory
  • 18.434 Seminar in Theoretical Computer Science
  • 18.453 Combinatorial Optimization
  • 18.337[J] Parallel Computing and Scientific Machine Learning
  • 18.338 Eigenvalues of Random Matrices
  • 18.367 Waves and Imaging
  • University Physics
    • 《University Physics》阅读并做笔记，笔记见此
    • Yale Fundamentals of physics I 学习
    • Yale Fundamentals of physics II 学习
    • Classical Mechanics 学习
    • Physics II: Electricity and Magnetism 学习
    • Relativity 学习
    • Physics III: Vibrations and Waves
  • 18.415[J] Advanced Algorithms
  • 18.416[J] Randomized Algorithms
  • 18.425[J] Foundations of Cryptography
  • 8.01 Physics I
  • 8.02 Physics II
  • 8.03 Physics III
  • 8.04 Quantum Physics I
  • 8.041 Quantum Physics I
  • 8.05 Quantum Physics II
  • 18.435[J] Quantum Computation
  • 18.437[J] Distributed Algorithms
  • 18.455 Advanced Combinatorial Optimization
  • 18.702 Algebra II
  • 18.703 Modern Algebra
  • 18.783 Elliptic Curves
  • 18.102 Introduction to Functional Analysis
  • 18.112 Functions of a Complex Variable
  • 18.303 Linear Partial Differential Equations
  • 18.642 Topics in Mathematics with Applications in Finance
  • 18.125 Measure Theory and Analysis
  • 18.675 Theory of Probability
  • 18.676 Stochastic Calculus
  • 18.615 Introduction to Stochastic Processes
  • 18.657 Topics in Statistics
  • 18.900 Geometry and Topology in the Plane
  • 18.212 Algebraic Combinatorics
  • 18.901 Introduction to Topology
  • 18.721 Introduction to Algebraic Geometry
  • 18.781 Theory of Numbers
  • 18.950 Differential Geometry
  • 18.217 Combinatorial Theory
  • 18.218 Topics in Combinatorics
  • 18.225 Graph Theory and Additive Combinatorics
  • 18.226 Probabilistic Methods in Combinatorics
  • 18.705 Commutative Algebra
  • 18.715 Introduction to Representation Theory
  • 18.725 Algebraic Geometry I
  • 18.745 Lie Groups and Lie Algebras I
  • 18.704 Seminar in algebra
  • 18.782 Introduction to Arithmetic Geometry
  • 18.706 Noncommutative algebra
  • 18.755 Lie Groups and Lie Algebras II
  • 18.755 Lie Groups and Lie Algebras II
  • 18.101 Analysis and Manifolds
  • 18.102 Introduction to Functional Analysis
  • 18.103 Fourier Analysis: Theory and Applications
  • 18.104 Seminar in Analysis
  • 18.112 Functions of a Complex variable
  • 18.152 Introduction to Partial Differential Equations
  • 18.950 Differential Geometry
  • 18.994 Seminar in Geometry
  • 18.125 Measure Theory and Analysis
  • 18.155 Differential Analysis I
  • 18.156 Differential Analysis II
  • 18.952 Theory of Differential Forms
  • 18.965 Geometry of Manifolds I
  • 18.966 Geometry of Manifolds II
  • 18.781 Theory of numbers
  • 18.784 Seminar in Number Theory
  • 18.785 Number Theory I
  • 18.677 Topics in Stochastic Processes
  • 18.655 Mathematical Statistics
  • 18.904 Seminar in Topology
  • 18.116 Riemann Surfaces
  • 18.905 Algebraic Topology I
  • 18.906 Algebraic Topology II
  • 18.300 Principles of Continuum Applied mathematics
  • 18.352[J] Nonlinear Dynamics: The Natural Environment
  • 18.353[J] Nonlinear Dynamics: Chaos
  • 18.354[J] Nonlinear Dynamics: Continuum Systems
  • 18.384 Undergraduate Seminar in Physical mathematics
  • 18.417 Introduction to Computational Molecular Biology
  • 18.305 Advanced Analytic Methods in Science and Engineering
  • 18.306 Advanced Partial Differential Equations with Applications
  • 2.25 Fluid Mechanics
  • 12.800 Fluid Dynamics of the Atmosphere and Ocean
  • 18.355 Fluid Mechanics
  • 18.357 Interfacial Phenomena
  • 18.367 Waves and Imaging
  • 8.07 Electromagnetism II
  • 18.369[J] Mathematical Methods in Nanophotonics
  • 2.003[J] Dynamics and Control I
  • 18.075 Methods for Scientists and Engineers
  • 18.376[J] Wave Propagation
  • 18.377[J] Nonlinear Dynamics and Waves

相关内容

那些年我遇到的数学谜题

rustlings 通关记录

更新于 2025-02-02  e4860f4
阅读原始文档 | 查看源代码 | 编辑此页 | 报告问题
 学习记录, 数学
 | 主页