By Hans Petter Langtangen
The publication 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 purposes are taken from arithmetic, numerical calculus, facts, 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 really is beneficial to check classical and numerical one-variable calculus in parallel with analyzing this booklet. in addition to studying the best way to application pcs, the reader also will easy methods to resolve mathematical difficulties, coming up in a number of branches of technological know-how and engineering, via numerical equipment and programming. by means of mixing programming, arithmetic and clinical functions, the booklet lays an outstanding origin for working towards computational technological know-how.
Read or Download A Primer on Scientific Programming with Python (4th Edition) (Texts in Computational Science and Engineering, Volume 6) PDF
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Additional resources for A Primer on Scientific Programming with Python (4th Edition) (Texts in Computational Science and Engineering, Volume 6)
For this reason, most arithmetic operations involve inaccurate real numbers, resulting in inaccurate calculations. Think of the following two calculations: 1/49 · 49 and 1/51 · 51. 0 as answer in the first case is because 1/49 is not correctly represented in the computer. Also 1/51 has an inexact representation, but the error does not propagate to the final answer. To summarize, errors in floating-point numbers may propagate through mathematical calculations and result in answers that are only approximations to the exact underlying mathematical values.
3: Improve input to the simulation program . . . . . 1: Solve a simple ODE with function-based code . . . 2: Solve a simple ODE with class-based code . . . . 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 . . . .
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 .