Numerical Analysis | For B.C.A. 5th Semester, All Chhattisgarh State Universities | NEP 2020 | Useful for GATE CS/IT & Mathematics Numerical Methods | Dr. H.K. Pathak | Shree Shiksha Sahitya Prakashan

Numerical Analysis by Dr. H.K. Pathak is the syllabus-exact textbook for B.C.A. 5th Semester students across all Chhattisgarh State Universities, built strictly to the New Education Policy 2020 curriculum. Every one of the four prescribed units is covered in the exact sequence set by the university: numerical solutions of algebraic and transcendental equations (round-off error, Cardon's and Ferrari's methods, Descartes' and Graeffe's root-squaring, bisection, false position, fixed point iteration, Newton's and secant methods); numerical solutions of linear systems (determinant and matrix inversion methods, LU decomposition, Thomas method for tridiagonal systems, Gauss-Jacobi, Gauss-Seidel and SOR); interpolation and numerical differentiation/integration (Lagrange and Newton interpolation, piecewise linear and cubic spline interpolation, Hermite interpolation, Gregory-Newton forward and backward differences, trapezoidal and Simpson's rules, Bulirsch-Stoer and Richardson extrapolation); and initial/boundary value problems of differential equations (Euler's, Taylor's and Runge-Kutta methods, multi-step methods, Adams-Bashforth, Adams-Moulton, finite difference and shooting methods). Because this is the same core content examined in the GATE CS/IT and GATE Mathematics (MA) Numerical Methods sections, students who master this book also build a head start on GATE preparation. Each chapter includes solved examples and practice problems so learners can verify their own working, not just read theory. The author, Dr. H.K. Pathak, is Professor & Head of the School of Studies in Mathematics at Pt. Ravishankar Shukla University, Raipur — a Chhattisgarh institution — with over 3,300 citations on Google Scholar and the Vijnana Parishad of India Distinguished Service Award (2011). Published by Shree Shiksha Sahitya Prakashan as a First Edition (2026), this 472-page paperback is the book to buy once for both the semester exam and future competitive exam prep.