Download A Primer on Scientific Programming with Python (4th Edition) by Hans Petter Langtangen PDF

By Hans Petter Langtangen

ISBN-10: 3642549594

ISBN-13: 9783642549595

The ebook serves as a primary creation to desktop programming of medical purposes, utilizing the high-level Python language. The exposition is instance and problem-oriented, the place the functions are taken from arithmetic, numerical calculus, facts, physics, biology and finance. The e-book teaches "Matlab-style" and procedural programming in addition to object-oriented programming. highschool arithmetic is a required history and it's effective to review classical and numerical one-variable calculus in parallel with analyzing this e-book. along with studying easy methods to application pcs, the reader also will the best way to remedy mathematical difficulties, coming up in a variety of branches of technology and engineering, due to numerical equipment and programming. through mixing programming, arithmetic and medical purposes, the booklet lays an excellent starting place 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)

Example text

7: Compute trigonometric integrals . . . . . . . . 8: Plot functions and their derivatives . . . . . . . 9: Use the Trapezoidal method . . . . . . . . . . 1: Solve a nonhomogeneous linear ODE . . . . . . 2: Solve a nonlinear ODE . . . . . . . . . . . . . 3: Solve an ODE for y(x) . . . . . . . . . . . . . 4: Experience instability of an ODE . . . . . . . . 5: Solve an ODE with time-varying growth . . . . . 1: Model sudden movements of the plate .

12: Solve an ODE until constant solution . . . . . . 13: Use a problem class to hold data about an ODE . 14: Derive and solve a scaled ODE problem . . . . . 15: Clean up a file to make it a module . . . . . . . 16: Simulate radioactive decay . . . . . . . . . . 17: Compute inverse functions by solving an ODE . . 18: Make a class for computing inverse functions . . . 19: Add functionality to a class . . . . . . . . . . 20: Compute inverse functions by interpolation .

Verifying the results. 8, not 53. What is wrong? The formula in the program looks correct! Float and integer division. The error in our program above is one of the most common errors in mathematical software and is not at all obvious for a newcomer to programming. In many computer languages, there are two types of divisions: float division and integer division. 8 in decimal notation. 3 Another formula: Celsius-Fahrenheit conversion Integer division a/b with integers (whole numbers) a and b results in an integer that is truncated (or mathematically, rounded down).

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