A Primer on Scientific Programming with Python by Hans Petter Langtangen

By Hans Petter Langtangen

The booklet serves as a primary creation to machine programming of medical functions, utilizing the high-level Python language. The exposition is instance- and problem-oriented, the place the purposes are taken from arithmetic, numerical calculus, information, physics, biology, and finance. The publication teaches "Matlab-style" and procedural programming in addition to object-oriented programming. highschool arithmetic is a required heritage, and it really is useful to check classical and numerical one-variable calculus in parallel with studying this ebook. along with studying easy methods to application desktops, the reader also will clear up mathematical difficulties, coming up in numerous branches of technological know-how and engineering, through numerical tools and programming. via mixing programming, arithmetic and medical functions, the publication lays a great origin for training computational technology.

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A Primer on Scientific Programming with Python

The e-book serves as a primary creation to desktop programming of clinical purposes, utilizing the high-level Python language. The exposition is instance- and problem-oriented, the place the purposes are taken from arithmetic, numerical calculus, data, physics, biology, and finance. The publication teaches "Matlab-style" and procedural programming in addition to object-oriented programming.

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5 Interactive Computing A particular convenient feature of Python is the ability to execute statements and evaluate expressions interactively. The environments where you work interactively with programming are commonly known as Python shells. The simplest Python shell is invoked by just typing python at the command line in a terminal window. Some messages about Python are written out together with a prompt >>>, after which you can issue commands. Let us try to use the interactive shell as a calculator.

Make an ODESolver subclass for an AdamsBashforth method . . . . . . . . . . . . . . Implement the iterated Midpoint method; function . . . . . . . . . . . . . . . . . . Implement the iterated Midpoint method; class . Make an ODESolver subclass for the iterated Midpoint method . . . . . . . . . . . . . . Study convergence of numerical methods for ODEs . . . . . . . . . . . . . . . . . . . Solve an ODE specified on the command line .

This is usually the most difficult thing with programming. Second, we must express this sequence of instructions correctly in a computer language and store the corresponding text in a file (the program). Third, we must run the program, check the validity of the results, and usually enter a fourth phase where errors in the program must be found and corrected. Mastering this process requires a lot of training, which implies making a large number of programs (exercises in this book, for instance) and getting the programs to work.

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