## Mathematical Methods for Engineers and Scientists 1: Complex Analysis, Determinants and MatricesPedagogical insights gained through 30 years of teaching applied mathematics led the author to write this set of student oriented books. Topics such as complex analysis, matrix theory, vector and tensor analysis, Fourier analysis, integral transforms, ordinary and partial differential equations are presented in a discursive style that is readable and easy to follow. Numerous clearly stated, completely worked out examples together with carefully selected problem sets with answers are used to enhance students' understanding and manipulative skill. The goal is to make students comfortable and confident in using advanced mathematical tools in junior, senior, and beginning graduate courses. |

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Mathematical Methods for Engineers and Scientists 1: Complex Analysis ... K. T. Tang Limited preview - 2006 |

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algebra analytic function augmented matrix branch cut Cauchy Cauchy–Riemann equations Cauchy’s integral Cayley–Hamilton theorem circle Cl1m Clinn close the contour closed contour coefficient matrix column complex function complex numbers complex plane complex variables compute convergence corresponding cosh counterclockwise curve defined definition derivative diagonal matrix Eacample eigenvalues eigenvectors elementary elements equal to zero Evaluate the integral Example expansion expressed follows function f(z hermitian conjugate hermitian matrix imaginary inside interchange inverse isin Laplace Laurent series linear logarithm logb mathematical Multiply row notation nth order determinant number system obtain orthogonal matrix permutation polynomial principal value radius real number real variable region residue theorem right-hand side rotation satisfy shown in Fig similarity transformation simple pole singular point sinh Solution square matrix symmetric Taylor series transpose unitary matrix upper half-plane valid vector written