Engineering Mathematics: Volume IIIPearson Education India, 2010 - 284 pàgines Mathematics lays the basic foundation for engineering students to pursue their core subjects. In Engineering Mathematics-III , the topics have been dealt with in a style that is lucid and easy to understand, supported by illustrations that enable the student to assimilate the concepts effortlessly. Each chapter is replete with exercises to help the student gain a deep insight into the subject. The nuances of the subject have been brought out through more than 300 well-chosen, worked-out examples interspersed across the book. |
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a²)² analytic function argument principle Bessel functions bilinear transformation C₁ C₂ Cauchy-Riemann equations Cauchy's integral formula Cauchy's integral theorem Cauchy's residue theorem coefficients complex number conformal mapping constant convergence cos² cosh 2y CRES Differentiating domain dx x² ellipse Evaluate Example Figure Find ƒ z)dz Hence integrand Jn(x JNTU Laurent's series expansion Legendre Let f lies inside line segment mapping number of zeros obtain orthogonal polynomial power series principal value Prove radius real and imaginary real axis region residue theorem Rouche's theorem semicircle Show simple closed curve simple poles sin² singularity sinh Solution Let straight line Taylor's series u₁ unit circle upper half-plane w-plane w₁ z₁ π π πί ди ду дх