Advanced Engineering MathematicsThis work is based on the experience and notes of the authors while teaching mathematics courses to engineering students at the Indian Institute of Technology, New Delhi. It covers syllabi of two core courses in mathematics for engineering students. |
Contents
Functions of a Real Variable | 1 |
Functions of Several Real Variables | 115 |
Matrices and Eigenvalue Problems | 200 |
Ordinary Differential Equations of First Order | 296 |
Linear Differential Equations | 350 |
Legendre Polynomials Chebyshev Polynomials Bessel Functions | 460 |
1 | 598 |
Analytic Functions | 680 |
sin ax fxdx | 904 |
Bilinear Transformations and Conformal Mapping | 928 |
Vector Differential and Integral Calculus | 966 |
Partial Differential Equations | 1044 |
Z Transformation | 1090 |
3 | 1098 |
4 | 1116 |
Tests for Convergence | 1123 |
Common terms and phrases
a₁ analytic arbitrary constants b₁ c₁ c₂ Cauchy integral Cauchy integral theorem Cauchy-Riemann equations characteristic equation circle coefficient complex numbers continuous convergent cosh curve defined differential equation domain dx dy eigenvalues eigenvectors Example exists Find finite Fourier series function f given in Eq hand side Hence improper integral initial value problem integrand interval Laplace transform Laurent series Let f lies inside linear transformation linearly independent linearly independent solutions mapping matrix obtain orthogonal parameter partial derivatives pole of order polynomial power series r₁ radius radius of convergence real number region Res f(z scalar sequence series expansion Show simple poles singular point sinh Substituting theorem u₁ variable write x²y y₁ y₁(x z-plane z₁ zero ди ди дх ду