Computational Methods Using MATLAB® (eBook, ePUB)
An introduction for physicists
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This book provides an introduction to the computational methods commonly employed by physicists and engineers. The book discusses the details of the numerical algorithms involved and also provides MATLAB code for their implementation. Major topics discussed include root finding, numerical linear algebra, numerical differentiation and integration, numerical methods for solving ordinary and partial differential equations, and Monte Carlo methods. Applications of numerical methods to various physical systems including nonlinear systems and fractals are also discussed. Each chapter has a number of...
This book provides an introduction to the computational methods commonly employed by physicists and engineers. The book discusses the details of the numerical algorithms involved and also provides MATLAB code for their implementation. Major topics discussed include root finding, numerical linear algebra, numerical differentiation and integration, numerical methods for solving ordinary and partial differential equations, and Monte Carlo methods. Applications of numerical methods to various physical systems including nonlinear systems and fractals are also discussed. Each chapter has a number of solved examples and end of chapter exercises. Solutions to most of the exercises have also been included.
The book is suitable for undergraduates in physics or engineering. Some of the applications to physical systems would require a prior knowledge of undergraduate level classical mechanics, quantum mechanics, and optics. Wherever possible, the background to some of the applications is also provided so that non-physicists can appreciate these applications. The methods discussed and some of the examples will also be useful for other scientists and engineers who wish to learn the basics of computational/ numerical methods for solving problems.
The book is suitable for undergraduates in physics or engineering. Some of the applications to physical systems would require a prior knowledge of undergraduate level classical mechanics, quantum mechanics, and optics. Wherever possible, the background to some of the applications is also provided so that non-physicists can appreciate these applications. The methods discussed and some of the examples will also be useful for other scientists and engineers who wish to learn the basics of computational/ numerical methods for solving problems.
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