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

Produktdetaljer

ISBN
9781108716000
Publisert
2019-05-09
Utgiver
Vendor
Cambridge University Press
Vekt
1040 gr
Høyde
246 mm
Bredde
183 mm
Dybde
32 mm
Aldersnivå
U, 05
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
824

Forfatter

Om bidragsyterne

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.