<?xml version="1.0" encoding="utf-8" standalone="yes"?><rss version="2.0" xmlns:atom="http://www.w3.org/2005/Atom"><channel><title>Math on Nam Le</title><link>https://blog.namln.org/en/tags/math/</link><description>Recent content in Math on Nam Le</description><generator>Hugo</generator><language>en-US</language><lastBuildDate>Wed, 11 Jan 2023 00:00:00 +0000</lastBuildDate><atom:link href="https://blog.namln.org/en/tags/math/index.xml" rel="self" type="application/rss+xml"/><item><title>Cambridge Notes (Vietnamese)</title><link>https://blog.namln.org/en/topics/lecture-notes/cam-notes/</link><pubDate>Wed, 11 Jan 2023 00:00:00 +0000</pubDate><guid>https://blog.namln.org/en/topics/lecture-notes/cam-notes/</guid><description>&lt;h2 class="heading" id="ghi-chú-bài-giảng-cambridge"&gt;
 Ghi chú bài giảng Cambridge&lt;span class="heading__anchor"&gt; &lt;a href="#ghi-ch%c3%ba-b%c3%a0i-gi%e1%ba%a3ng-cambridge"&gt;#&lt;/a&gt;&lt;/span&gt;
&lt;/h2&gt;&lt;p&gt;Tất cả các ghi chú đều được dịch từ &lt;a href="https://dec41.user.srcf.net/notes/"&gt;Cambridge Notes&lt;/a&gt; do Dexter Chua biên tập. Các bản dịch sang tiếng Việt được sử dụng cho mục đích học tập. Vui lòng không sử dụng cho mục đích thương mại.&lt;/p&gt;
&lt;h3 class="heading" id="part-ia"&gt;
 Part IA&lt;span class="heading__anchor"&gt; &lt;a href="#part-ia"&gt;#&lt;/a&gt;&lt;/span&gt;
&lt;/h3&gt;&lt;p&gt;&lt;strong&gt;Michaelmas Term&lt;/strong&gt;&lt;/p&gt;
&lt;ol&gt;
&lt;li&gt;Phương trình vi phân - Differential Equations: &lt;a href="https://dec41.user.srcf.net/h/III_L/the_standard_model"&gt;HTML&lt;/a&gt;, &lt;a href="https://dec41.user.srcf.net/notes/IA_M/differential_equations.pdf"&gt;PDF&lt;/a&gt;, &lt;a href="https://dec41.user.srcf.net/notes/IA_M/differential_equations_trim.pdf"&gt;PDF (Trim)&lt;/a&gt;, &lt;a href="https://dec41.user.srcf.net/notes/IA_M/differential_equations_def.pdf"&gt;PDF (defs)&lt;/a&gt;, &lt;a href="https://dec41.user.srcf.net/notes/IA_M/differential_equations_thm.pdf"&gt;PDF (thm)&lt;/a&gt;, &lt;a href="https://dec41.user.srcf.net/notes/IA_M/differential_equations_thm_proof.pdf"&gt;PDF (thm+proof)&lt;/a&gt;, &lt;a href=""&gt;Official Notes&lt;/a&gt;, &lt;a href=""&gt;PDF (Vi)&lt;/a&gt;&lt;/li&gt;
&lt;li&gt;Lý thuyết nhóm - Groups&lt;/li&gt;
&lt;li&gt;Số học và Tập hợp - Numbers and Sets&lt;/li&gt;
&lt;li&gt;Vector và Ma trận - Vectors and Matrices&lt;/li&gt;
&lt;/ol&gt;
&lt;p&gt;&lt;strong&gt;Lent Term&lt;/strong&gt;&lt;/p&gt;
&lt;ol start="6"&gt;
&lt;li&gt;Giải tích I - Analysis I&lt;/li&gt;
&lt;li&gt;Động học và Thuyết tương đối - Dynamics and Relativity&lt;/li&gt;
&lt;li&gt;Xác suất - Probability&lt;/li&gt;
&lt;li&gt;Giải tích vector - Vector Calculus&lt;/li&gt;
&lt;/ol&gt;
&lt;h3 class="heading" id="part-ib"&gt;
 Part IB&lt;span class="heading__anchor"&gt; &lt;a href="#part-ib"&gt;#&lt;/a&gt;&lt;/span&gt;
&lt;/h3&gt;&lt;p&gt;&lt;strong&gt;Michaelmas Term&lt;/strong&gt;&lt;/p&gt;
&lt;ol start="10"&gt;
&lt;li&gt;Giải tích II - Analysis II&lt;/li&gt;
&lt;li&gt;Đại số tuyến tính - Linear Algebra&lt;/li&gt;
&lt;li&gt;Xích Markov - Markov Chains&lt;/li&gt;
&lt;li&gt;Kỹ thuật toán học - Methods&lt;/li&gt;
&lt;li&gt;Cơ học lượng tử - Quantum Mechanics&lt;/li&gt;
&lt;/ol&gt;
&lt;p&gt;&lt;strong&gt;Lent Term&lt;/strong&gt;&lt;/p&gt;
&lt;ol start="15"&gt;
&lt;li&gt;Giải tích phức - Complex Analysis&lt;/li&gt;
&lt;li&gt;Kỹ thuật phức - Complex Methods&lt;/li&gt;
&lt;li&gt;Điện tử - Electromagnetism&lt;/li&gt;
&lt;li&gt;Cơ học chất lỏng - Fluid Dynamics&lt;/li&gt;
&lt;li&gt;Hình học - Geometry&lt;/li&gt;
&lt;li&gt;Nhóm, Vành và Modules - Groups, Rings and Modules&lt;/li&gt;
&lt;li&gt;Giải tích số - Numerical Analysis&lt;/li&gt;
&lt;li&gt;Thống kê - Statistics&lt;/li&gt;
&lt;/ol&gt;
&lt;p&gt;&lt;strong&gt;Easter Term&lt;/strong&gt;&lt;/p&gt;
&lt;ol start="23"&gt;
&lt;li&gt;Không gian Metric và Topo - Metric and Topological Spaces&lt;/li&gt;
&lt;li&gt;Optimisation&lt;/li&gt;
&lt;li&gt;Nguyên lý biến phân - Variational Principles&lt;/li&gt;
&lt;/ol&gt;
&lt;h3 class="heading" id="part-ii"&gt;
 Part II&lt;span class="heading__anchor"&gt; &lt;a href="#part-ii"&gt;#&lt;/a&gt;&lt;/span&gt;
&lt;/h3&gt;&lt;p&gt;&lt;strong&gt;Michaelmas Term&lt;/strong&gt;&lt;/p&gt;
&lt;ol start="26"&gt;
&lt;li&gt;Topo Đại số - Algebraic Topology&lt;/li&gt;
&lt;li&gt;Lý thuyết Galois - Galois Theory&lt;/li&gt;
&lt;li&gt;Hệ khả tích - Integrable Systems&lt;/li&gt;
&lt;li&gt;Giải tích tuyến tính - Linear Analysis&lt;/li&gt;
&lt;li&gt;Độ đo và Xác suất - Probability and Measure&lt;/li&gt;
&lt;/ol&gt;
&lt;p&gt;&lt;strong&gt;Lent Term&lt;/strong&gt;&lt;/p&gt;
&lt;ol start="31"&gt;
&lt;li&gt;Logic và Lý thuyết tập hợp - Logic and Set Theory&lt;/li&gt;
&lt;li&gt;Trường số học - Number Fields&lt;/li&gt;
&lt;li&gt;Lý thuyết biểu diễn - Representation Theory&lt;/li&gt;
&lt;li&gt;Vật lý thống kê - Statistical Physics&lt;/li&gt;
&lt;/ol&gt;
&lt;h3 class="heading" id="part-iii"&gt;
 Part III&lt;span class="heading__anchor"&gt; &lt;a href="#part-iii"&gt;#&lt;/a&gt;&lt;/span&gt;
&lt;/h3&gt;&lt;p&gt;&lt;strong&gt;Michaelmas Term&lt;/strong&gt;&lt;/p&gt;
&lt;ol start="35"&gt;
&lt;li&gt;Xác suất nâng cao - Advanced Probability&lt;/li&gt;
&lt;li&gt;Topo Đại số - Algebraic Topology&lt;/li&gt;
&lt;li&gt;Giải tích về Phương trình Đạo hàm riêng - Analysis of Partial Differential Equations&lt;/li&gt;
&lt;li&gt;Tổ hợp - Combinatorics&lt;/li&gt;
&lt;li&gt;Hình học vi phân - Differential Geometry&lt;/li&gt;
&lt;li&gt;Extremal Graph Theory&lt;/li&gt;
&lt;li&gt;Hydrodynamic Stability&lt;/li&gt;
&lt;li&gt;Trường địa phương - Local Fields&lt;/li&gt;
&lt;li&gt;Các kỹ thuật thống kê hiện đại - Modern Statistical Methods&lt;/li&gt;
&lt;li&gt;Percolation and Random Walks on Graphs&lt;/li&gt;
&lt;li&gt;Tính toán lượng tử - Quantum Computation&lt;/li&gt;
&lt;li&gt;Lý thuyết trường lượng tử - Quantum Field Theory&lt;/li&gt;
&lt;li&gt;Symmetries, Fields and Particles&lt;/li&gt;
&lt;/ol&gt;
&lt;p&gt;&lt;strong&gt;Lent Term&lt;/strong&gt;&lt;/p&gt;
&lt;ol start="48"&gt;
&lt;li&gt;Lý thuyết trường lượng tử - Advanced Quantum Field Theory&lt;/li&gt;
&lt;li&gt;Đại số - Algebras&lt;/li&gt;
&lt;li&gt;Logic&lt;/li&gt;
&lt;li&gt;Modular Forms and L-functions&lt;/li&gt;
&lt;li&gt;Tính dương trong Đại số Hình học - Positivity in Algebraic Geometry&lt;/li&gt;
&lt;li&gt;Lý thuyết Ramsey - Ramsey Theory&lt;/li&gt;
&lt;li&gt;Hình học Riemannian - Riemannian Geometry&lt;/li&gt;
&lt;li&gt;Tiến hóa Schramm–Loewner - Schramm–Loewner Evolutions&lt;/li&gt;
&lt;li&gt;Giải tích ngẫu nghiên và Ứng dụng - Stochastic Calculus and Applications&lt;/li&gt;
&lt;li&gt;Symplectic Geometry&lt;/li&gt;
&lt;li&gt;Mô hình chuẩn - The Standard Model&lt;/li&gt;
&lt;li&gt;Theoretical Physics of Soft Condensed Matter&lt;/li&gt;
&lt;/ol&gt;
&lt;p&gt;&lt;strong&gt;Easter Term&lt;/strong&gt;&lt;/p&gt;
&lt;ol start="60"&gt;
&lt;li&gt;Classical and Quantum Solitons&lt;/li&gt;
&lt;/ol&gt;
&lt;h3 class="heading" id="part-iv"&gt;
 Part IV&lt;span class="heading__anchor"&gt; &lt;a href="#part-iv"&gt;#&lt;/a&gt;&lt;/span&gt;
&lt;/h3&gt;&lt;p&gt;&lt;strong&gt;Michaelmas Term&lt;/strong&gt;&lt;/p&gt;
&lt;ol start="61"&gt;
&lt;li&gt;Topics in Geometric Group Theory&lt;/li&gt;
&lt;/ol&gt;
&lt;p&gt;&lt;strong&gt;Lent Term&lt;/strong&gt;&lt;/p&gt;
&lt;ol start="62"&gt;
&lt;li&gt;Topics in Number Theory&lt;/li&gt;
&lt;/ol&gt;
&lt;p&gt;&lt;strong&gt;Easter Term&lt;/strong&gt;&lt;/p&gt;
&lt;ol start="63"&gt;
&lt;li&gt;Bounded Cohomology&lt;/li&gt;
&lt;/ol&gt;</description></item><item><title>Daniel Raban's Note Repository Notes (Vietnamese)</title><link>https://blog.namln.org/en/topics/lecture-notes/dr-notes/</link><pubDate>Wed, 11 Jan 2023 00:00:00 +0000</pubDate><guid>https://blog.namln.org/en/topics/lecture-notes/dr-notes/</guid><description>&lt;h2 class="heading" id="daniel-rabans-note-repository"&gt;
 Daniel Raban&amp;rsquo;s Note Repository&lt;span class="heading__anchor"&gt; &lt;a href="#daniel-rabans-note-repository"&gt;#&lt;/a&gt;&lt;/span&gt;
&lt;/h2&gt;&lt;p&gt;[UCLA] Math 206A: Combinatorial Discrete Geometry (Igor Pak, F18): &lt;a href="https://pillowmath.github.io/Math%20206A/main.pdf"&gt;PDF&lt;/a&gt;, &lt;a href=""&gt;PDF (Vi)&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;[UCLA] Math 206B: Algebraic Combinatorics (Igor Pak, W19): [PDF], &lt;a href=""&gt;PDF (Vi)&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;[UCLA] Math 210A: Algebra (Romyar Sharifi, F18): &lt;a href="https://pillowmath.github.io/Math%20210A/main.pdf"&gt;PDF&lt;/a&gt;, &lt;a href=""&gt;PDF (Vi)&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;[UCLA] Math 210B: Algebra (Romyar Sharifi, W19): &lt;a href="https://pillowmath.github.io/Math%20210B/main.pdf"&gt;PDF&lt;/a&gt;, &lt;a href=""&gt;PDF (Vi)&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;[UCLA] Math 210C: Algebra (Romyar Sharifi, Sp19): [PDF], &lt;a href=""&gt;PDF (Vi)&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;[UCLA] Math 245B: Real Analysis (Tim Austin, W19): &lt;a href="https://pillowmath.github.io/Math%20245B/main.pdf"&gt;PDF&lt;/a&gt;, &lt;a href=""&gt;PDF (Vi)&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;[UCLA] Math 245C: Real Analysis (Wilfrid Gangbo, Sp19): &lt;a href="https://pillowmath.github.io/Math%20245C/main.pdf"&gt;PDF&lt;/a&gt;, &lt;a href=""&gt;PDF (Vi)&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;[UCLA] Math 246A: Complex Analysis (John Garnett, F18): [PDF], &lt;a href=""&gt;PDF (Vi)&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;[UCLA] Math 246B: Complex Analysis (Michael Hitrik, W19): &lt;a href="https://pillowmath.github.io/Math%20246B/main.pdf"&gt;PDF&lt;/a&gt;, &lt;a href=""&gt;PDF (Vi)&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;[UCLA] Math 246C: Complex Analysis (Michael Hitrik, Sp19): &lt;a href="https://pillowmath.github.io/Math%20246C/main.pdf"&gt;PDF&lt;/a&gt;, &lt;a href=""&gt;PDF (Vi)&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;[UCLA] Math 247A: Classical Fourier Analysis (Monica Visan, W20): &lt;a href="https://pillowmath.github.io/Math%20247A/main.pdf"&gt;PDF&lt;/a&gt;, &lt;a href=""&gt;PDF (Vi)&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;[UCLA] Math 254A: Topics in Entropy and Statistical Mechanics (Tim Austin, Sp21): &lt;a href="https://pillowmath.github.io/Math%20254A/main.pdf"&gt;PDF&lt;/a&gt;, &lt;a href=""&gt;PDF (Vi)&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;[UCLA] Math 254B: Ergodic Theory and Fractals (Tim Austin, Sp19): [PDF], &lt;a href=""&gt;PDF (Vi)&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;[UCLA] Math 255A: Functional Analysis (Michael Hitrik, F18): &lt;a href="https://pillowmath.github.io/Math%20255A/main.pdf"&gt;PDF&lt;/a&gt;, &lt;a href=""&gt;PDF (Vi)&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;[UCLA] Math 255A&amp;rsquo;: Functional Analysis (Tim Austin, F19): &lt;a href="https://pillowmath.github.io/Math%20255A%27/main.pdf"&gt;PDF&lt;/a&gt;, &lt;a href=""&gt;PDF (Vi)&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;[UCLA] Math 255B: Functional Analysis (Michael Hitrik, W20): &lt;a href="https://pillowmath.github.io/Math%20255B/main.pdf"&gt;PDF&lt;/a&gt;, &lt;a href=""&gt;PDF (Vi)&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;[UCLA] Math 259A: Operator Algebras in Hilbert Space (Sorin Popa, F19): &lt;a href="https://pillowmath.github.io/Math%20259A/main.pdf"&gt;PDF&lt;/a&gt;, &lt;a href=""&gt;PDF (Vi)&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;[UCLA] Math 275D: Stochastic Calculus (Jun Yin, F19): &lt;a href="https://pillowmath.github.io/Math%20275D/main.pdf"&gt;PDF&lt;/a&gt;, &lt;a href=""&gt;PDF (Vi)&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;[UC Berkeley] CS 294: Analysis of Boolean Functions (Avishay Tal, Sp23): [PDF], &lt;a href=""&gt;PDF (Vi)&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;[UC Berkeley] EE 229A: Information Theory and Coding (Venkat Anantharam, F21): &lt;a href="https://pillowmath.github.io/EE%20229A/main.pdf"&gt;PDF&lt;/a&gt;, &lt;a href=""&gt;PDF (Vi)&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;[UC Berkeley] Math 142: Algebraic Topology (Jamie Conway, Sp18): &lt;a href="https://pillowmath.github.io/Math%20142/main.pdf"&gt;PDF&lt;/a&gt;, &lt;a href=""&gt;PDF (Vi)&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;[UC Berkeley] Math 222A: Partial Differential Equations (Daniel Tataru, F21): &lt;a href="https://pillowmath.github.io/Math%20222A/main.pdf"&gt;PDF&lt;/a&gt;, &lt;a href=""&gt;PDF (Vi)&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;[UC Berkeley] Math 222B: Partial Differential Equations (Sung-Jin Oh, Sp22): &lt;a href="https://pillowmath.github.io/Math%20222B/main.pdf"&gt;PDF&lt;/a&gt;, &lt;a href=""&gt;PDF (Vi)&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;[UC Berkeley] Math &lt;a href="https://en.wikipedia.org/wiki/249_(number)"&gt;249&lt;/a&gt;: Algebraic Combinatorics (Mark Haiman, F17): [PDF], &lt;a href=""&gt;PDF (Vi)&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;[UC Berkeley] Math 250A: Groups, Rings, and Fields (&lt;a href="Borcherds/borcherds.html"&gt;Richard Borcherds&lt;/a&gt;, F17): &lt;a href="https://pillowmath.github.io/Math%20250A/main.pdf"&gt;PDF&lt;/a&gt;, &lt;a href=""&gt;PDF (Vi)&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;[UC Berkeley] Math 272: Theory of Combinatorial Limits (Dan Král, S25): [PDF], &lt;a href=""&gt;PDF (Vi)&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;[UC Berkeley] Math 279: Topics in Stochastic Partial Differential Equations (Fraydoun Rezakhanlou, F21): &lt;a href="https://pillowmath.github.io/Math%20279/main.pdf"&gt;PDF&lt;/a&gt;, &lt;a href=""&gt;PDF (Vi)&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;[UC Berkeley] Stat 155: Game Theory (Oscar Hernan Madrid Padilla, Sp18): &lt;a href="https://pillowmath.github.io/Stat%20155/main.pdf"&gt;PDF&lt;/a&gt;, &lt;a href=""&gt;PDF (Vi)&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;[UC Berkeley] Stat 206B: Stochastic Processes (Jim Pitman, Sp 18): [PDF], &lt;a href=""&gt;PDF (Vi)&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;[UC Berkeley] Stat C206B: Statics and Dynamics of Random Surfaces (Shirshendu Ganguly, Sp 22): [PDF], &lt;a href=""&gt;PDF (Vi)&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;[UC Berkeley] Stat 210A: Theoretical Statistics (Will Fithian, F21): &lt;a href="https://pillowmath.github.io/Stat%20210A/main.pdf"&gt;PDF&lt;/a&gt;, &lt;a href=""&gt;PDF (Vi)&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;[UC Berkeley] Stat 210B: High-Dimensional Statistics (Song Mei, Sp22): &lt;a href="https://pillowmath.github.io/Stat%20210B/main.pdf"&gt;PDF&lt;/a&gt;, &lt;a href=""&gt;PDF (Vi)&lt;/a&gt;&lt;/p&gt;</description></item></channel></rss>