This book is a fantastic resource if you are looking to truly understand the math behind numerical methods. It is an excellent choice for a formal academic course (e.g., in B.Tech/M.Sc) but might be too detailed for someone needing just a quick refresher on coding the algorithms.
| Chapter | Topic | |---------|-------| | 1 | Errors & Floating Point Arithmetic | | 2 | Solution of Algebraic & Transcendental Equations (Bisection, Newton-Raphson, Secant) | | 3 | Solution of Linear Systems (Direct: Gauss elimination, LU; Iterative: Jacobi, Gauss-Seidel) | | 4 | Eigenvalues & Eigenvectors (Power method, Jacobi method) | | 5 | Interpolation (Newton forward/backward, Lagrange, Hermite, Splines) | | 6 | Numerical Differentiation & Integration (Trapezoidal, Simpson’s 1/3 & 3/8, Gaussian quadrature) | | 7 | Ordinary Differential Equations (Euler, Runge-Kutta, Predictor-Corrector, Boundary value problems) | | 8 | Partial Differential Equations (Finite differences: elliptic, parabolic, hyperbolic) | | 9 | Numerical Optimization (brief) | numerical methods m.k. jain s.r.k. iyengar and r.k. jain pdf
Numerical Methods is a fundamental course in mathematics and computer science that deals with the development and application of numerical techniques to solve mathematical problems. The book "Numerical Methods" by M.K. Jain, S.R.K. Iyengar, and R.K. Jain is a popular textbook that provides an comprehensive introduction to numerical methods. The book is widely used by students and professionals in various fields, including mathematics, physics, engineering, and computer science. This book is a fantastic resource if you