Integration for Engineers and Scientists

accuracy algebraic functions analogous analytical application approximation calculation chapter Chebyshev coefficients consider convergent defined definite integrals derivatives determined differential equation dx dy eigenvalues elementary function error example Exercises expression finite Fredholm equations Gaussian formula Gaussian quadrature gives infinite Integral Equations integrand interpolatory involves k₁ kernel Lanczos Laplace transforms LIMIT OF INTEGRAL linear equations Math Mathematical midpoint rule multiple integrals Newton-Cotes formulas nonlinear Numerical Integration numerical solution obtained Order parameter partial differential polynomial of degree problem procedure product integration QCHEB quadrature formulas quadrature rules range of integration rational functions Riemann integral roots Section Show shown simple Simpson's Simpson's rule singularity solving SUBROUTINE symmetry Table theorem theory transcendental functions trapezoid rule Univ University vanishes variable Volterra equations W₁ W₂ weight function weights and nodes York