Core Curricular Coverage
The book is structured systematically around the uniform syllabi of undergraduate university degrees across India, with a strong emphasis on the following core domains:
- Errors in Numerical Computation: Absolute, relative, and percentage errors; round-off and truncation mechanisms.
- Interpolation and Finite Differences: Newton’s forward/backward interpolation, Lagrange’s interpolation formula, and central differences.
- System of Linear Equations: Direct methods (Gauss elimination, LU decomposition) and iterative techniques (Gauss-Seidel, Jacobi methods).
- Numerical Differentiation & Integration: Derivations of derivative formulas, trapezoidal rule, and Simpson’s rules.
- Ordinary Differential Equations: Step-by-step solutions utilizing Euler’s method and Runge-Kutta methods.
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