Written 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. INDICE: Preface; Acknowledgement; Dedication; 1. Number systems; 2. Error analysis; 3. Nonlinear equations; 4. Nonlinear systems and polynomial equations; 5. Systems of linear equations; 6. Eigenvalues and eigenvectors; 7. Eigenvalues and eigenvectors of real symmetric matrices; 8. Interpolation; 9. Finite operators; 10. Interpolation for equal intervals and bivariate interpolation; 11. Splines, curve fitting, and other approximating curves; 12. Numerical differentiation; 13. Numerical integration; 14. First order ordinary differential equations: initial value problems; 15. Systems of first order ODEs and higher order ODEs: initial and boundary value problems; 16. Partial differential equations: finite difference methods; References; Index.
- ISBN: 978-1-108-71600-0
- Editorial: Cambridge University Press
- Encuadernacion: Rústica
- Páginas: 824
- Fecha Publicación: 09/05/2019
- Nº Volúmenes: 1
- Idioma: Inglés