By Hans Petter Langtangen
The ebook serves as a primary creation to computing device programming of medical functions, utilizing the high-level Python language. The exposition is instance- and problem-oriented, the place the functions are taken from arithmetic, numerical calculus, records, physics, biology, and finance. The publication teaches "Matlab-style" and procedural programming in addition to object-oriented programming. highschool arithmetic is a required history, and it truly is helpful to check classical and numerical one-variable calculus in parallel with examining this booklet. along with studying find out how to software pcs, the reader also will how one can remedy mathematical difficulties, coming up in numerous branches of technology and engineering, by means of numerical tools and programming. by means of mixing programming, arithmetic and medical purposes, the publication lays a superb beginning for practising computational technology.
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Additional info for A Primer on Scientific Programming with Python
Enhance the code from Exer. 31 . . . . . . . Make a tool for analyzing oscillatory solutions . . Replace functions by class in Exer. 32 . . . . Allow flexible choice of functions in Exer. 34 . Use the modules from Exer. 35 . . . Use the modules from Exer. 35 . . . 634 635 636 636 636 637 637 638 638 638 638 639 639 639 639 640 640 640 640 641 641 641 642 642 643 643 644 645 646 648 648 652 652 653 1 Computing with Formulas Our first examples on computer programming involve programs that evaluate mathematical formulas.
1 with integer division, which forced us to be careful about the types of objects in a calculation. The interactive shell is very useful for exploring types. The following example illustrates the type function and how we can convert an object from one type to another. 0 # type conversion In the statement C = float(C) we create a new object from the original object referred to by the name C and bind it to the same name C. That is, C refers to a different object after the statement than before. The original int with value 21 cannot be reached anymore (since we have no name for it) and will be automatically deleted by Python.
32) . . . . Compare ODE methods . . . . . . . . . . . Compare ODE methods . . . . . . . . . . . Solve two coupled ODEs for radioactive decay . . Code a 2nd-order Runge-Kutta method; function Code a 2nd-order Runge-Kutta method; class . . Make an ODESolver subclass for Heun’s method . Make an ODESolver subclass for the Midpoint method . . . . . . . . . . . . . . . . . . . Make an ODESolver subclass for an AdamsBashforth method . . . . . . . . .