Cauchy’s Integral Formula 🔥 Solve Complex Integrals Easily | B.Sc / M.Sc / NET / IIT JAM скачать в хорошем качестве

Cauchy’s Integral Formula 🔥 Solve Complex Integrals Easily | B.Sc / M.Sc / NET / IIT JAM

Welcome to Maths Mastery with Dr. Upasana P. Taneja! Hello learners! I’m Dr. Upasana Taneja, passionate about teaching Higher Mathematics with clarity and precision. On my channel — Maths Mastery with Dr. Upasana P. Taneja — I cover advanced topics like Group Theory, Ring Theory, Real Analysis, and Complex Analysis, specially designed for B.Sc., M.Sc., NET, GATE, and IIT-JAM aspirants. ✨ In this video, we explore one of the most beautiful and powerful results in Complex Analysis — the Cauchy Integral Formula along with its proof. You’ll learn: ✅ Statement of the Cauchy Integral Formula ✅ Step-by-step derivation and proof using Cauchy’s Integral Theorem ✅ Geometric interpretation and conditions for the formula ✅ Applications of the formula in evaluating contour integrals ✅ Examples to illustrate how the formula works for analytic functions By the end of this lecture, you’ll understand how the value of an analytic function inside a closed contour can be determined using its values on the contour itself — a fundamental idea behind much of Complex Analysis. 📚 Check out detailed notes and solved examples on my blog: 🔗 https://upasanataneja.blogspot.com 🎯 Stay Connected: 👉 Subscribe to Maths Mastery with Dr. Upasana P. Taneja for complete higher mathematics lectures 👉 Like 👍, Share 🔁, and Comment 💬 your doubts below --- #CauchyIntegralFormula #CauchyIntegralTheorem #ComplexAnalysis #AnalyticFunction #ContourIntegration #DrUpasanaTaneja #MathsMastery #ComplexNumbers #BScMaths #MScMaths #IITJAMMaths #NETMathematics #GATEMaths #HigherMathematics #ComplexPlane #CauchyFormulaProof #ResidueTheorem #MathematicsLecture #MathsWithDrUpasana #LearnComplexAnalysis #MathsMadeEasy cauchyintegralformula #cauchyintegraltheorem #cauchy #complexanalysis #analyticfunctioncauchy integral formulacauchy integral formula in complex analysiscauchy integral formula examplescauchy integral formula problemscauchy integral formula questionscauchy integral formula in HindiCauchy integral formula complex analysiscauchy integral formula for derivativescomplex Integration questionscomplex integrationcauchy’s integral formulacomplex variablescauchy’s theoremanalytic functionmathematics analysis