Shanmuganathan Rajasekar was born in Thoothukudi, Tamil Nadu, India, in 1962. He was awarded Ph.D. from Bharathidasan University in 1992 under the supervision of Prof. M. Lakshmanan. In 1993, he joined as a Lecturer at the Department of Physics, Manonmaniam Sundaranar University, Tirunelveli. In 2005, he joined as a Professor at the School of Physics, Bharathidasan University, Tiruchirapalli. His recent research focuses on nonlinear dynamics with a special emphasis on nonlinear resonances. He has authored or co-authored more than 120 research papers in nonlinear dynamics.

• 1.Preliminaries.2.Solutions of Polynomial and Reciprocal Equations.3.Solution of General Nonlinear Equations.4.Solution of Linear Systems AX = B5.Curve Fitting.6.Interpolation and Extrapolation.7.Eigenvalues and Eigenvectors.8.Numerical Differentiation.9.Numerical Minimization of Functions.10.Numerical Integration.11.Ordinary Differential Equations- Initial-Value Problem.12.Sympletic Integrators for Hamiltonian Systems.13.Ordinary Differential Equations- Boundary-Value Problem.14.Linear Partial Differential Equations.15.Nonlinear Partial Differential Equations.16.Fractional Order Ordinary Differential Equations.17.Fractional Order Partial Differential Equations.18.Fourier Analysis and Power Spectrum.19.Random Numbers.20.Monte Carlo Technique.21.Answers to Some Selected Problems.Index

Shanmuganathan Rajasekar was born in Thoothukudi, Tamil Nadu, India, in 1962. He was awarded Ph.D. from Bharathidasan University in 1992 under the supervision of Prof. M. Lakshmanan. In 1993, he joined as a Lecturer at the Department of Physics, Manonmaniam Sundaranar University, Tirunelveli. In 2005, he joined as a Professor at the School of Physics, Bharathidasan University, Tiruchirapalli. His recent research focuses on nonlinear dynamics with a special emphasis on nonlinear resonances. He has authored or co-authored more than 120 research papers in nonlinear dynamics.

• 1.Preliminaries.2.Solutions of Polynomial and Reciprocal Equations.3.Solution of General Nonlinear Equations.4.Solution of Linear Systems AX = B5.Curve Fitting.6.Interpolation and Extrapolation.7.Eigenvalues and Eigenvectors.8.Numerical Differentiation.9.Numerical Minimization of Functions.10.Numerical Integration.11.Ordinary Differential Equations- Initial-Value Problem.12.Sympletic Integrators for Hamiltonian Systems.13.Ordinary Differential Equations- Boundary-Value Problem.14.Linear Partial Differential Equations.15.Nonlinear Partial Differential Equations.16.Fractional Order Ordinary Differential Equations.17.Fractional Order Partial Differential Equations.18.Fourier Analysis and Power Spectrum.19.Random Numbers.20.Monte Carlo Technique.21.Answers to Some Selected Problems.Index

Shanmuganathan Rajasekar was born in Thoothukudi, Tamil Nadu, India, in 1962. He was awarded Ph.D. from Bharathidasan University in 1992 under the supervision of Prof. M. Lakshmanan. In 1993, he joined as a Lecturer at the Department of Physics, Manonmaniam Sundaranar University, Tirunelveli. In 2005, he joined as a Professor at the School of Physics, Bharathidasan University, Tiruchirapalli. His recent research focuses on nonlinear dynamics with a special emphasis on nonlinear resonances. He has authored or co-authored more than 120 research papers in nonlinear dynamics.

• 1.Preliminaries.2.Solutions of Polynomial and Reciprocal Equations.3.Solution of General Nonlinear Equations.4.Solution of Linear Systems AX = B5.Curve Fitting.6.Interpolation and Extrapolation.7.Eigenvalues and Eigenvectors.8.Numerical Differentiation.9.Numerical Minimization of Functions.10.Numerical Integration.11.Ordinary Differential Equations- Initial-Value Problem.12.Sympletic Integrators for Hamiltonian Systems.13.Ordinary Differential Equations- Boundary-Value Problem.14.Linear Partial Differential Equations.15.Nonlinear Partial Differential Equations.16.Fractional Order Ordinary Differential Equations.17.Fractional Order Partial Differential Equations.18.Fourier Analysis and Power Spectrum.19.Random Numbers.20.Monte Carlo Technique.21.Answers to Some Selected Problems.Index