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Numerical Methods

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Numerical Methods

Numerical Methods

Fundamentals and Applications
Rajesh Kumar Gupta, Central University of Punjab, India
April 2019
This ISBN is for an eBook version which is distributed on our behalf by a third party.
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9781108686600
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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

    Product details

    April 2019
    Adobe eBook Reader
    9781108686600
    0 pages
    This ISBN is for an eBook version which is distributed on our behalf by a third party.

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    Contents

    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.
      • Show more
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    Additional Information
    About the authors
      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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