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Numerical Methods - Rajesh Kumar Gupta

Numerical Methods

Fundamentals and Applications
Buch | Softcover
824 Seiten
2019
Cambridge University Press (Verlag)
978-1-108-71600-0 (ISBN)
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Written in a lucid manner, this textbook gives an in-depth discussion of basic and advanced concepts of numerical methods. C programming codes are included in the textbook for better understanding of concepts. Pedagogical features including solved examples and unsolved exercises are interspersed throughout the book for better understanding.
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.

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.

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.

Erscheinungsdatum
Zusatzinfo Worked examples or Exercises
Verlagsort Cambridge
Sprache englisch
Maße 183 x 246 mm
Gewicht 1040 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
ISBN-10 1-108-71600-8 / 1108716008
ISBN-13 978-1-108-71600-0 / 9781108716000
Zustand Neuware
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