Lecture Notes

ទ្រឹស្ដីបរមាកម្ម (Optimization Methods)

Convex and Non-linear Optimization:

• ជំពូក ១. អនុគមន៍ប៉ោង
• ជំពូក ២. ទ្រឹស្ដីមេគុណឡាក្រង់
• Differential Equations Part 3: Higher Order Linear Equations
• Differential Equations Part 4: Systems of First Order Linear Equations
• Differential Equations, Parts 1-5 (PDF)

ចំណោទកម្មវិធីលីនេអ៊ែរ (Linear Programming)

• ជំពូក ១. សេចក្ដីផ្ដើមអំពីចំណោទបរមាកម្ម
• ជំពូក ២. ចំណោទកម្មវិធីលីនេអ៊ែរងាយៗ
• ជំពូក ៣. ម៉ាទ្រីស និង កម្មវិធីលីនេអ៊ែរ
• ជំពូក ៤. សំណុំប៉ោង និង ទ្រឹស្ដីអនុគមន៍ប៉ោង
• ជំពូក ៥. វិធីសាស្ត្រស៊ីមភ្លិច (Simplex Method)

Differential Equations

Differential Equations:

• Differential Equations Part 1: First Order Linear Equations
• Differential Equations Part 2: Second Order Linear Equations
• Differential Equations Part 3: Higher Order Linear Equations
• Differential Equations Part 4: Systems of First Order Linear Equations
• Differential Equations Part 5: Further Topics: Series Solutions, Euler Equations, Matrix Exponential, Laplace Transform, Nonlinear Systems
• Differential Equations, Parts 1-5 (PDF)

Partial Differential Equations:

Delay Differential Equations:

Functional Differential Equations:

Geometry/Topology

ធរណីមាត្រអាហ្វីន និង អឺគ្លីដ

• ផ្នែកទី១: ពិជគណិតលីនេអ៊ែរ
• ជំពូក ១: ប្រព័ន្ធសមីការលីនេអ៊ែរ
• ជំពូក ២: លំហវ៉ិចទ័រ
• ជំពូក ៣: អនុវត្តន៍លីនេអែរ
• ជំពូក ៤: ម៉ាទ្រីស
• ជំពូក ៥: ដេទែរមីណង់
• ជំពូក ៦: អនុវត្តន៍អង់ដូម៉ភីស
• ជំពូក ៧: អនុគមន៍
• ជំពូក ៨: លំហកុំប៉ាក់
• ផ្នែកទី២: ធរណីមាត្រ
• ជំពូក ១: លំហអាហ្វីន
• ជំពូក ២: អនុវត្តន៍អាហ្វីន
• ជំពូក ៣: លំហអឺគ្លីដ
• Analysis Part 4: Several Variable Differential Calculus

Differential Geometry and Projective:

• Differential Geometry Part 1: Calculus on Euclidean Spaces
• Differential Geometry Part 2: Frame Fields
• Differential Geometry Part 3: Euclidean Geometry
• Differential Geometry Part 4: Calculus on Surfaces
• Differential Geometry Part 5: Shape Operators
• Differential Geometry Part 6: Geometry of Surfaces in R3
• Differential Geometry Part 7: Riemannian Geometry
• Differential Geometry, Parts 1-7 (PDF)

Topology:

• Topology Part 1: Topological Spaces
• Topology, Part 2: Continuous Functions

ពិជគណិត

ពិជគណិតមូលដ្ឋាន

• ជំពូក ១: មូលដ្ឋានគ្រឹះនៃតក្កវិទ្យា និងសម្រាយបញ្ជាក់
• ជំពូក ២: ទ្រឹស្ដីសំណុំ
• ជំពូក ៣: ទំនាក់ទំនងទ្វេធាតុ
• ជំពូក ៤: អនុគមន៍
• ជំពូក ៥: សំណុំរាប់អស់

Group Theory:

• Group Theory Part 1: Definitions and Basics
• Group Theory Part 2: The Sylow Theorems

Ring Theory:

• Ring Theory Part 1: Introduction to Rings
• Ring Theory Part 2: Classification of Integral Domains

Module Theory:

• Module Theory, Part 1: Introduction, Module Homomorphisms
• Module Theory Part 2: Generation of Modules, Direct Sums, and Free Modules

Representation Theory

• Representation Theory Part 1: Basics
• Representation Theory Part 2: Character Theory

Field Theory & Galois Theory

• Field Theory Part 1: Basic Theory & Algebraic Extensions
• Field Theory Part 2: Splitting Fields; Algebraic Closure
• Galois Theory, Part 1: The Fundamental Theorem of Galois Theory

Analysis

Analysis:

• Analysis Part 1: Metric Spaces
• Analysis Part 2: Continuous Functions on Metric Spaces
• Analysis Part 3: Uniform Functions on Metric Spaces
• Analysis Part 4: Several Variable Differential Calculus

Books

Geometry

មូលដ្ឋានគ្រឹះនៃត្រីកោណមាត្រ

• ជំពូក១: ត្រីកោណមាត្រ-ត្រីកោណកែង
• Analysis Part 2: Continuous Functions on Metric Spaces
• Analysis Part 3: Uniform Functions on Metric Spaces
• Analysis Part 4: Several Variable Differential Calculus

Projective Geometry

Recent Posts

• A Note on the Variation of Parameters Method | 11/01/17
• Group Theory, Part 3: Direct and Semidirect Products | 10/26/17
• Galois Theory, Part 1: The Fundamental Theorem of Galois Theory | 10/19/17
• Field Theory, Part 2: Splitting Fields; Algebraic Closure | 10/19/17
• Field Theory, Part 1: Basic Theory and Algebraic Extensions | 10/18/17