000			02533nam a22002177a 4500
999			_c2489 _d2489
003			OSt
005			20200224112325.0
008			200118b ||||| |||| 00| 0 eng d
020			_a978-1-107-50049-5
028			_bAllied Informatics, Jaipur _c7084 _d13/01/2020 _q2019-20
040			_aBSDU _bEnglish _cBSDU
082			_a518 _bGUP
100			_aGupta,Radhey S.
245			_aElements of Numerical Analysis
250			_b2nd
260			_aDelhi _bCambridge University Press _c2015
300			_a759
504			_aNumerical analysis deals with the manipulation of numbers to solve a particular problem. This book discusses in detail the creation, analysis and implementation of algorithms to solve the problems of continuous mathematics. An input is provided in the form of numerical data or it is generated as required by the system to solve a mathematical problem. Subsequently, this input is processed through arithmetic operations together with logical operations in a systematic manner and an output is produced in the form of numbers. Covering the fundamentals of numerical analysis and its applications in one volume, this book offers detailed discussion on relevant topics including difference equations, Fourier series, discrete Fourier transforms and finite element methods. In addition, the important concepts of integral equations, Chebyshev Approximation and Eigen Values of Symmetric Matrices are elaborated upon in separate chapters. The book will serve as a suitable textbook for undergraduate students in science and engineering. Provides an in-depth coverage of topics like moving grid method, hyperbolic equation of first order and finite difference methods Includes a separate chapter on Fourier series, discrete Fourier transform and fast Fourier transform Presents applications of interpolation, splines, ordinary differential equations and minimum functional theorem Preface 1. Errors in computation 2. Linear equations and eigenvalue problem 3. Nonlinear equations 4. Interpolation 5. Numerical differentiation 6. Numerical integration 7. Ordinary differential equations 8. Splines and their applications 9. Method of least squares and Chebyshev approximation 10. Eigenvalues of symmetric matrices 11. Partial differential equations 12. Finite element method 13. Integral equations 14. Difference equations 15. Fourier series, discrete Fourier transform and fast Fourier transform 16. Free and moving boundary problems: a brief introduction
650			_aNumerical
942			_2ddc _cBK