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.
Author(s): Rajesh Kumar Gupta
Publisher: Cambridge University Press
Year: 2019
Language: English
Pages: 824
Tags: Numerical Analysis, Numerical Methods
Chapter 1 Number Systems
Chapter 2 Error Analysis
Chapter 3 Nonlinear Equations
Chapter 4 Nonlinear Systems and Polynomial Equations
Chapter 5 Systems of Linear Equations
Chapter 6 Eigenvalues and Eigenvectors
Chapter 7 Eigenvalues and Eigenvectors of Real Symmetric Matrices
Chapter 8 Interpolation
Chapter 9 Finite Operators
Chapter 10 Interpolation for Equal Intervals and Bivariate Interpolation
Chapter 11 Splines, Curve Fitting, and Other Approximating Curves
Chapter 12 Numerical Differentiation
Chapter 13 Numerical Integration
Chapter 14 First Order Ordinary Differential Equations: Initial Value Problems
Chapter 15 Systems of First Order ODEs and Higher Order ODEs: Initial and Boundary Value Problems
Chapter 16 Partial Differential Equations: Finite Difference Methods
Appendix A Comparison of Analytical and Numerical Techniques
Appendix B Numerical Techniques and Computer
Appendix C Taylor Series
Appendix D Linear and Nonlinear
Appendix E Graphs of Standard Functions
Appendix F Greek Letters
Index
