Rajesh Kumar GuptaCambridge University Press, 5/9/2019EAN 9781108716000, ISBN10: 1108716008Paperback, 828 pages, 24.6 x 18.9 x 4.7 cmLanguage: EnglishWritten in an easy-to-understand manner, this comprehensive textbook brings together both basic and advanced concepts of numerical methods in a single volume. Important topics including error analysis, nonlinear equations, systems of linear equations, interpolation and interpolation for Equal intervals and bivariate interpolation are discussed comprehensively. The textbook is written to cater to the needs of undergraduate students of mathematics, computer science, mechanical engineering, civil engineering and information technology for a course on numerical methods/numerical analysis. The text simplifies the understanding of the concepts through exercises and practical examples. Pedagogical features including solved examples and unsolved exercises are interspersed throughout the book for better understanding.PrefaceAcknowledgementDedication1. Number systems2. Error analysis3. Nonlinear equations4. Nonlinear systems and polynomial equations5. Systems of linear equations6. Eigenvalues and eigenvectors7. Eigenvalues and eigenvectors of real symmetric matrices8. Interpolation9. Finite operators10. Interpolation for equal intervals and bivariate interpolation11. Splines, curve fitting, and other approximating curves12. Numerical differentiation13. Numerical integration14. First order ordinary differential equationsinitial value problems15. Systems of first order ODEs and higher order ODEsinitial and boundary value problems16. Partial differential equationsfinite difference methodsReferencesIndex.
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