Complex Analysis: Finding Singularities and Residues (Simple Poles, and the Residue Theorem) скачать в хорошем качестве

Complex Analysis: Finding Singularities and Residues (Simple Poles, and the Residue Theorem)

In this video, we solve a fundamental problem in Complex Analysis involving singularities and residues. Identifying the location of singularities. Classifying singularities (determining Simple Poles). Calculating the Residue using limits. Applying the Residue Theorem for contour integration. Timecode: 00:00 Problem Statement (Classifying the Simple Pole) 01:48 Applying the Residue Theorem 02:17 Geometric interpretation (2D) 03:17 Geometric interpretation (3D) Telegram: https://t.me/MathInfinitum TikTok:   / math.infinitum      • Theorem: Every Convergent Sequence is Boun...      • Solving Differential Equation xy\,dx + (x+...      • Does it Converge or Diverge? Integral of 1...      • Integral of 1/x^2: Power Rule with Negativ...      • Complex Analysis: Finding the Laurent Seri...      • Metric Spaces: Definition, Axioms, and Exa...      • Residue Calculation for Higher-Order and S...      • Evaluating Definite Complex Integral from ...      • Linear Differential Equation Solution: (xy...      • Method of Characteristics: Solving PDE (x(...      • Fourier Series Expansion of f(x) = x | Cal...      • Laplace Transform of f(t) = (cos(3t) - 1) ...   #maths #complexanalysis #analysis #residue #theorems #singularities #calculating #residues #simple #pole #contourintegration #integration #complexanalysis #variables #mathematics #engineering #mathematics #cauchyintegralformula #manim #math #visualization #problem #solving