Numerical Analysis
by Dr. H.K. Pathak
₹440
Useful for
About this book
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 NEP 2020 curriculum. Every one of the four prescribed units is covered in the exact sequence set by the university.
This is the only Numerical Analysis book on Amazon.in written by the professor who actually heads the Mathematics department at a Chhattisgarh university. Each chapter includes solved examples and practice problems so learners can verify their own working, not just read theory.
The same four units are also the entire GATE CS/IT and GATE Mathematics (MA) Numerical Methods syllabus, so this book doubles as early GATE preparation. Dr. H.K. Pathak is Professor and Head of the School of Studies in Mathematics at Pt. Ravishankar Shukla University, Raipur, with over 3,300 Google Scholar citations and the Vijnana Parishad of India Distinguished Service Award (2011). Published by Shree Shiksha Sahitya Prakashan, Meerut.
Syllabus coverage
Unit 1 · Algebraic & Transcendental Equations
Round-off error; Cardon's and Ferrari's methods; Descartes' rule and Graeffe's root-squaring; Bisection; False position; Fixed point iteration; Newton's and secant methods
Unit 2 · Numerical Solution of Linear Systems
Determinant and matrix inversion methods; LU decomposition; Thomas method for tridiagonal systems; Gauss-Jacobi; Gauss-Seidel; Successive over-relaxation (SOR)
Unit 3 · Interpolation, 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
Unit 4 · Initial & Boundary Value Problems
Euler's, Taylor's and Runge-Kutta methods; Multi-step methods; Adams-Bashforth; Adams-Moulton; Finite difference method; Shooting method