Radhey S. GuptaCambridge University PressEdition: 2, 5/14/2015EAN 9781107500495, ISBN10: 1107500494Paperback, 774 pages, 24.6 x 18.9 x 3.9 cmLanguage: EnglishOriginally published in EnglishNumerical 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.Preface1. Errors in computation2. Linear equations and eigenvalue problem3. Nonlinear equations4. Interpolation5. Numerical differentiation6. Numerical integration7. Ordinary differential equations8. Splines and their applications9. Method of least squares and Chebyshev approximation10. Eigenvalues of symmetric matrices11. Partial differential equations12. Finite element method13. Integral equations14. Difference equations15. Fourier series, discrete Fourier transform and fast Fourier transform16. Free and moving boundary problemsa brief introductionAppendicesIndex.
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