Rajesh Kumar Gupta

Numerical Methods (eBook, PDF)

Fundamentals and Applications

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 9. Mai 2019
• Englisch
• ISBN-13: 9781108686600
• Artikelnr.: 56978279

Autorenporträt

Rajesh Kumar Gupta is an associate professor in the department of mathematics and statistics at the Central University of Punjab, India. His current research includes nonlinear partial differential equations, Lie group theory, fractional order partial differential equations, exact solutions and symmetries for nonlinear systems. He has taught courses including numerical methods with C programming, engineering mathematics, partial differential equations, complex analysis and abstract algebra at undergraduate and graduate levels. He has more than ten years of teaching experience and has published more than fifty research papers.

Inhaltsangabe

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.