Numerical Methods
Fundamentals and Applications
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- Author: Rajesh Kumar Gupta, Central University of Punjab, India
- Date Published: May 2019
- availability: This item is not supplied by Cambridge University Press in your region. Please contact Cambridge University Press (I) Pt Ltd (India) for availability.
- format: Paperback
- isbn: 9781108716000
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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.
Read more- Includes C program codes for methods including bisection, secant, regular-falsi, Newton–Rapson, Chebyshev and Aitken process
- Presents a step-by-step methodology to solve problems, and both basic and advanced topics are covered
- Extensive pedagogical features including solved examples and unsolved exercises are interspersed throughout the book
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×Product details
- Date Published: May 2019
- format: Paperback
- isbn: 9781108716000
- length: 824 pages
- dimensions: 246 x 183 x 32 mm
- weight: 1.04kg
- availability: This item is not supplied by Cambridge University Press in your region. Please contact Cambridge University Press (I) Pt Ltd (India) for availability.
Table of Contents
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.
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