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Numerical Methods

Numerical Methods
Fundamentals and Applications

$89.99

textbook
  • Date Published: May 2019
  • availability: Temporarily unavailable - available from August 2019
  • 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.

    • 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: Temporarily unavailable - available from August 2019
  • 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.

  • Author

    Rajesh Kumar Gupta, Central University of Punjab, India
    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.

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