Канал: Hanlong Fang

lecture28 Various invariants of graphs

lecture28 Various invariants of graphs

lecture27 Chromatic number

lecture27 Chromatic number

lecture25 Algorithms for Network

lecture25 Algorithms for Network

lecture26 Maximal flows

lecture26 Maximal flows

lecture24 BF and DF algorithms

lecture24 BF and DF algorithms

lecture23 Shannon switching game

lecture23 Shannon switching game

lecture22 Trees I

lecture22 Trees I

lecture21 Hamilton cycles and paths

lecture21 Hamilton cycles and paths

lecture20 Eulerian trails

lecture20 Eulerian trails

lecture19 Notions in Graph theory

lecture19 Notions in Graph theory

lecture17 Generating functions

lecture17 Generating functions

lecture18 Partitions of positive integers

lecture18 Partitions of positive integers

lecture16 Recurrence relation

lecture16 Recurrence relation

lecture15 Mobius function II

lecture15 Mobius function II

lecture14 Mobius function I

lecture14 Mobius function I

lecture13 Derangement

lecture13 Derangement

lecture12 Inclusion Exclusion principle

lecture12 Inclusion Exclusion principle

lecture11 Sperner theorem

lecture11 Sperner theorem

lecture9 Partial orders and equivalence relations

lecture9 Partial orders and equivalence relations

lecture10 Binomial coefficients

lecture10 Binomial coefficients

lecture8 Generating combinations

lecture8 Generating combinations

lecture7 Generating permutations

lecture7 Generating permutations

lecture5 Pigeonhole principle

lecture5 Pigeonhole principle

lecture6 Ramsey theory

lecture6 Ramsey theory

lecture3 Combinations of sets and permutations of multisets

lecture3 Combinations of sets and permutations of multisets

lecture4 Combinations of multisets and probability

lecture4 Combinations of multisets and probability

Lecture2 permutations

Lecture2 permutations

Lecture1 Introduction and counting principles

Lecture1 Introduction and counting principles

Lecture 30 Riemann Zeta function

Lecture 30 Riemann Zeta function

Lecture 29 Fourier inversion formula under weaker condition

Lecture 29 Fourier inversion formula under weaker condition

Lecture 28 Paley Wiener theorem

Lecture 28 Paley Wiener theorem

Lecture 27 Poisson summation formula and Fourier inversion theorem

Lecture 27 Poisson summation formula and Fourier inversion theorem

Lecture 26 Infinite products

Lecture 26 Infinite products

Lecture 25 Riemann mapping theorem

Lecture 25 Riemann mapping theorem

Lecture 24 Explicit uniformization

Lecture 24 Explicit uniformization

Lecture 23 Upper half plane model and hyperbolic geometry

Lecture 23 Upper half plane model and hyperbolic geometry

Lecture 22 Holomorphic Automorphisms

Lecture 22 Holomorphic Automorphisms

Lecture 21 Schwarz Christoffel transformation

Lecture 21 Schwarz Christoffel transformation

Lecture 20 Conformal maps and the complex structure on the Riemann sphere

Lecture 20 Conformal maps and the complex structure on the Riemann sphere

Lecture 19 Argument principle and Runge approximation

Lecture 19 Argument principle and Runge approximation

Lecture 18 Special functions

Lecture 18 Special functions

Lecture 17 Evaluate integrals via branched holomorphic functions

Lecture 17 Evaluate integrals via branched holomorphic functions

Lecture 16 Branches of log functions and brutal estimates

Lecture 16 Branches of log functions and brutal estimates

Lecture 15 Evaluate integrals via residue theorem III

Lecture 15 Evaluate integrals via residue theorem III

Lecture 14 Evaluate integrals via residue theorem II

Lecture 14 Evaluate integrals via residue theorem II

Lecture 13 Evaluate integrals via residue theorem I

Lecture 13 Evaluate integrals via residue theorem I

Lecture 12 Residue and meromorphic functions

Lecture 12 Residue and meromorphic functions

Lecture 11 Isolated singularities

Lecture 11 Isolated singularities

Lecture 10 Schwarz reflection principle and Laurent series expansion

Lecture 10 Schwarz reflection principle and Laurent series expansion

Lecture 9 Codimension of zeros and Openness of holmorphic functions

Lecture 9 Codimension of zeros and Openness of holmorphic functions

Lecture 8 Liouville theorem and Maximum modulus principle

Lecture 8 Liouville theorem and Maximum modulus principle

Lecture 7 Cauchy Integral Formula II

Lecture 7 Cauchy Integral Formula II

Lecture 5 Goursat‘s Theorem II

Lecture 5 Goursat‘s Theorem II

Lecture 6 Cauchy Integral Formula I

Lecture 6 Cauchy Integral Formula I

Lecture 4 Goursat‘s Theorem I

Lecture 4 Goursat‘s Theorem I

Lecture 3 Power Series

Lecture 3 Power Series

Lecture 2 Complex Numbers and Cauchy Riemann equation

Lecture 2 Complex Numbers and Cauchy Riemann equation

Lecture 1: Introduction

Lecture 1: Introduction

Stability condition and Fujita conjecture

Stability condition and Fujita conjecture

Hermitian metric on vector bundles Part I

Hermitian metric on vector bundles Part I

Hermitian metric on vector bundles Part II

Hermitian metric on vector bundles Part II

Singular Hermitian metric on holomorphic line bundle Part I

Singular Hermitian metric on holomorphic line bundle Part I

Singular Hermitian metric on holomorphic line bundle Part III

Singular Hermitian metric on holomorphic line bundle Part III

Singular Hermitian metric on holomorphic line bundle Part II

Singular Hermitian metric on holomorphic line bundle Part II

review session

review session

17 Higher FTC

17 Higher FTC

16 Surface integrals of vector fields

16 Surface integrals of vector fields

15 Surface integrals of functions

15 Surface integrals of functions

斯人雅会第二期霍乱时期的爱情马尔克斯

斯人雅会第二期霍乱时期的爱情马尔克斯

13 Line integrals (third part)

13 Line integrals (third part)

12 Line integrals (second part)

12 Line integrals (second part)

14 Parametric surfaces

14 Parametric surfaces

11 Line integrals (first part)

11 Line integrals (first part)

10 Vector fields

10 Vector fields

9 Jacobian

9 Jacobian

斯人雅会第一期小径分叉的花园博尔赫斯

斯人雅会第一期小径分叉的花园博尔赫斯

8 Spherical coordinates

8 Spherical coordinates

7 Center of mass, Triple integrals, Cylindrical coordinates

7 Center of mass, Triple integrals, Cylindrical coordinates

6. Polar coordinates

6. Polar coordinates

5 Double integrals over curved domains

5 Double integrals over curved domains

4 Multiple Integrals

4 Multiple Integrals

3 Lagrange Multiplier

3 Lagrange Multiplier

2：Global extreme

2：Global extreme

1：Local extreme

1：Local extreme