Numerical Method | For B.A./B.Sc. 5th Semester (3rd Year) DSE, All Chhattisgarh State Universities | NEP | Useful for GATE CS/IT & Mathematics Numerical Methods | Dr. H.K. Pathak

Numerical Method by Dr. H.K. Pathak is the syllabus-exact textbook for B.A./B.Sc. 5th Semester (3rd Year) Discipline Specific Elective students across all Chhattisgarh State Universities, built strictly to the New Education Policy curriculum. All four prescribed units are covered in sequence: numerical methods for solving algebraic and transcendental equations (round-off error, computer arithmetic, local and global truncation errors, algorithms and convergence, bisection, false position, fixed point iteration, Newton's and secant methods); interpolation (Lagrange and Newton interpolation, piecewise linear interpolation, cubic spline interpolation, finite difference operators, Gregory-Newton forward and backward difference interpolation); numerical differentiation and integration (first and higher order approximation for derivatives, trapezoidal rule, Simpson's rule and error analysis, Bulirsch-Stoer and Richardson extrapolation); and numerical solution of differential equations (Euler's method, Runge-Kutta methods, higher order one-step and multi-step methods, finite difference method, shooting method) with real-life applications such as Google's search engine ranking, 1D/2D simulations and weather forecasting. Because this is also the entire Numerical Methods section of the GATE CS/IT and GATE Mathematics (MA) syllabus, students who master this book build a head start on GATE preparation alongside their semester exam. Each chapter includes solved examples and practice problems so learners can verify their own working. The author, Dr. H.K. Pathak, is Professor & Head of the School of Studies in Mathematics at Pt. Ravishankar Shukla University, Raipur, with over 3,300 citations on Google Scholar and the Vijnana Parishad of India Distinguished Service Award (2011). Published by Shree Shiksha Sahitya Prakashan, this 360-page paperback First Edition (2026) is the book to buy once for both the semester exam and future GATE preparation.