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Published byBraden Fewell Modified over 4 years ago

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By Satyadhar Joshi

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Content Polar and Exp Roots Log Powers Trigno Hyberbolic Function Derivative Cauchy Riemann Analytical Function Complex line integrals Taylor series Singularities, Poles and Laurent Series Residue Theorem

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Review of Earlier concepts 50% Syllabus of IIT JEE Maths The Engineering Maths covers it all

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Cauchy Riemann Equations Easy questions on this area

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Analytical Functions Differntiable at any point z in the complex plane

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Complex line integrals Change of function to t

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All imp theories of analytical functions 6 theorems exist 1. Caychys 2. Moreras 3. Cauchys Integral 4. Cauchy Derivative estimate 5. Liouvilles 6. The Maximum Principle

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Singularities, Poles, and Laurent Series Punctured open disk Singularity

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Residual theorem Laurents Theorem Clo0sed Integral

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Review of some theorems Real numbers Lebesgue Measure Lebesgue Measurable Functions Lebesgue integral function

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References Cracking the Subject GRE Math Exam by Princeton

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