Titlebook: Numerical Python; Scientific Computing Robert Johansson Book 20192nd edition Robert Johansson 2019 Python.numerical.NumPy.SciPy.computation

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Vectors, Matrices, and Multidimensional Arrays,values, it is natural and advantageous to represent the data as arrays and the computation in terms of array operations. Computations that are formulated this way are said to be vectorized. Vectorized computing eliminates the need for many explicit loops over the array elements by applying batch ope

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Symbolic Computing,In symbolic computing software, also known as computer algebra systems (CASs), representations of mathematical objects and expressions are manipulated and transformed analytically. Symbolic computing is mainly about using computers to automate analytical computations that can in principle be done by

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Plotting and Visualization,he end product of nearly all computations?– be it numeric or symbolic?– is a plot or a graph of some sort. It is when visualized in graphical form that knowledge and insights can be most easily gained from computational results. Visualization is therefore a tremendously important part of the workflo

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Interpolation,uld exactly coincide with the given data points, and it can also be evaluated for other intermediate input values within the sampled range. There are many applications of interpolation: A typical use-case that provides an intuitive picture is the plotting of a smooth curve through a given set of dat

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Integration, is also known as .. Integration is significantly more difficult than its inverse operation?– differentiation?– and while there are many examples of integrals that can be calculated analytically, in general we have to resort to numerical methods. Depending on the properties of the integrand (the fun

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Ordinary Differential Equations,rential equations. An . differential equation is a special case where the unknown function has only one independent variable with respect to which derivatives occur in the equation. If, on the other hand, derivatives of more than one variable occur in the equation, then it is known as a . differenti