Branch : Mechanical Engineering | Subject : Maths 3

• Analytical Functions

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• Hurwitz Theorem

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• Complex Arithmetic

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• Topology of the Complex Plane

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• The Exponential Function

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• Polar Form of a Complex Number

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• Roots of Complex Numbers

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• Cauchy Integral Theorem

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• Cauchy Integral Formula for Derivatives

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• Fundamental Theorem of Algebra

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• Sequences of Holomorphic Functions and their Derivatives

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• Isolated Singularities

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• Laurent Series

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• Annulus of Convergence

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• Calculus of Residues

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• Evaluation of Definite Integrals

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• Complexification of the Integrand

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• Relation with Harmonic Functions

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• Taylor Series

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• Evaluation of Real Integrals by Contour Integration

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