Numerical Methods
Fundamentals and Applications

Offers a comprehensive textbook for a course in numerical methods, numerical analysis and numerical techniques for undergraduate engineering students.

Rajesh Kumar Gupta (Author)

9781108716000, Cambridge University Press

Paperback / softback, published 9 May 2019

824 pages
24.6 x 18.3 x 3.2 cm, 1.04 kg

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.

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.

Subject Areas: Numerical analysis [PBKS], Mathematics [PB]