By Hans Petter Langtangen
The e-book serves as a primary advent to computing device programming of clinical 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 e-book teaches "Matlab-style" and procedural programming in addition to object-oriented programming. highschool arithmetic is a required heritage and it truly is constructive to review classical and numerical one-variable calculus in parallel with examining this ebook. in addition to studying the way to software pcs, the reader also will how you can remedy mathematical difficulties, bobbing up in numerous branches of technology and engineering, by means of numerical equipment and programming. by means of mixing programming, arithmetic and medical purposes, the ebook lays a high-quality beginning for practising computational technology.
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Extra info for A Primer on Scientific Programming with Python (4th Edition) (Texts in Computational Science and Engineering, Volume 6)
Since 9 and 5 are interpreted by Python as integers (whole numbers), 9/5 is a division between two integers, and Python version 2 chooses by default integer division, which results in 1. Then 1 is multiplied by C, which equals 21, resulting in 21. Finally, 21 and 32 are added with 53 as result. We shall very soon present a correct version of the temperature conversion program, but first it may be advantageous to introduce a frequently used term in Python programming: object. 2 Objects in Python When we write C = 21 Python interprets the number 21 on the right-hand side of the assignment as an integer and creates an int (for integer) object holding the value 21.
2342 is the correct solution to our mathematical problem. 7 Using variables When we want to evaluate y(t) for many values of t, we must modify the t value at two places in our program. Changing another parameter, like v0 , is in principle straightforward, but in practice it is easy to modify the wrong number. , symbols, rather than numerical values. Most programming languages, Python included, have variables similar to the concept of variables in mathematics. 1), and assign the result to the variable y.
3: Solve a simple ODE with the ODEsolver hierarchy . 4: Solve an ODE specified on the command line . . . 5: Implement a numerical method for ODEs . . . . . 6: Solve an ODE for emptying a tank . . . . . . . 7: Solve an ODE for the arc length . . . . . . . . 8: Simulate a falling or rising body in a fluid . . . . 9: Verify the limit of a solution as time grows . . . . 10: Scale the logistic equation . . . . . . . . . . . 11: Compute logistic growth with time-varying carrying capacity .
A Primer on Scientific Programming with Python (4th Edition) (Texts in Computational Science and Engineering, Volume 6) by Hans Petter Langtangen