Numerical Methods
by Dr. H.K. Pathak
₹370
Useful for
About this book
Numerical Method by Dr. H.K. Pathak is the syllabus-exact textbook for B.A./B.Sc. 5th Semester Discipline Specific Elective students across all Chhattisgarh State Universities, built strictly to the NEP curriculum.
All four prescribed units are covered in sequence, closing with real-life applications such as Google's search engine ranking, 1D and 2D simulations and weather forecasting. Each chapter includes solved examples and practice problems so learners can verify their own working.
This is also the entire Numerical Methods section of the GATE CS/IT and GATE Mathematics (MA) syllabus, so students who master this book build a head start on GATE preparation alongside their semester exam. Published by Shree Shiksha Sahitya Prakashan, Meerut.
Syllabus coverage
Unit 1 · Algebraic & Transcendental Equations
Round-off error and computer arithmetic; Local and global truncation errors; Algorithms and convergence; Bisection method; False position; Fixed point iteration; Newton's and secant methods
Unit 2 · Interpolation
Lagrange and Newton interpolation; Piecewise linear interpolation; Cubic spline interpolation; Finite difference operators; Gregory-Newton forward and backward difference interpolation
Unit 3 · Numerical Differentiation & Integration
First and higher order approximation for derivatives; Trapezoidal rule; Simpson's rule and error analysis; Bulirsch-Stoer and Richardson extrapolation
Unit 4 · Numerical Solution of Differential Equations
Euler's method; Runge-Kutta methods; Higher order one-step and multi-step methods; Finite difference method; Shooting method