Titlebook: Computational Methods for Physicists; Compendium for Stude Simon Sirca,Martin Horvat Textbook 20121st edition Springer-Verlag GmbH Germany,

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1868-4513 gence of computations.Supports learning and teaching with maThis book helps advanced undergraduate, graduate and postdoctoral students in their daily work by offering them a compendium of numerical methods. The choice of methods pays  significant attention to error estimates, stability and convergen

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Basics of Numerical Analysis,, along with illustrations of common programming pitfalls. Selected classes of function approximation are shown next: optimal (minimax) and rational (Padé) approximations, as well as approximations of evolution operators for Hamiltonian systems. Emphasis is given to the efficient calculation of the

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Solving Non-linear Equations, scalar equations are explained: bisection, Newton–Raphson with optional convergence improvements, the secant and Müller’s method. Vector non-linear equations are treated by Newton–Raphson and Broyden’s method, illustrated by a robot engineering example. Solving polynomial equations of a single vari

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Transformations of Functions and Signals,e often disregarded or neglected. Fourier and sampling theorems, Parseval’s equality, and power spectral densities are introduced, and the concepts of signal uncertainty, aliasing, and leakage are discussed, along with the caveats due to different notations and nomenclatures. Transformations with or

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