Download A Primer on Scientific Programming with Python by Hans Petter Langtangen PDF

By Hans Petter Langtangen

The ebook 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 e-book teaches "Matlab-style" and procedural programming in addition to object-oriented programming. highschool arithmetic is a required history and it truly is beneficial to review classical and numerical one-variable calculus in parallel with analyzing this booklet. in addition to studying easy methods to software pcs, the reader also will easy methods to clear up mathematical difficulties, bobbing up in numerous branches of technology and engineering, because of numerical tools and programming. through mixing programming, arithmetic and clinical purposes, the publication lays a high-quality beginning for training computational science.

From the reviews: Langtangen … does a very good task of introducing programming as a suite of talents in challenge fixing. He courses the reader into pondering accurately approximately generating application common sense and information buildings for modeling real-world difficulties utilizing gadgets and features and embracing the object-oriented paradigm. … Summing Up: hugely recommended. 

F. H. Wild III, selection, Vol. forty seven (8), April 2010

Those people who've realized clinical programming in Python ‘on the streets’ can be a little jealous of scholars who've the chance to take a direction out of Langtangen’s Primer.” 
John D. cook dinner, The Mathematical organization of the US, September 2011

This ebook is going via Python specifically, and programming in most cases, through projects that scientists will most probably practice. It comprises worthy information for scholars new to medical computing and may be the excellent bridge among an creation to programming and a complicated direction on numerical tools or computational science.
Alex Small, IEEE, CiSE Vol. 14 (2), March/April 2012  

“This fourth version is a superb, inclusive textbook that covers pretty well every thing one must recognize to move from 0 to really refined clinical programming in Python…”
Joan Horvath, Computing stories, March 2015 

 

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The sin(x) function, but how to do this in an efficient way is a non-trivial topic. Experts have worked on this problem for decades and implemented their best recipes in pieces of software that we should reuse. This section tells you how to reach sin, cos, and similar functions in a Python context. 1 Example: Using the Square Root Function Problem. 1) on page 1. We now ask the question: How long time does it take for the ball to reach the height yc ? The answer is straightforward to derive. When y = yc we have 1 yc = v0 t − gt2 .

20 Solve an ODE until constant solution . . . . . . 21 Use classes in Exer. 20 . . . . . . . . . . . 22 Scale away parameters in Exer. 20 . . . . . . 23 Compare ODE methods . . . . . . . . . . . 24 Solve two coupled ODEs for radioactive decay . . 36) . . 27 Code a 2nd-order Runge-Kutta method; class . . 28 Implement a midpoint method for ODEs . . . . 29 Implement a modified Euler method for ODEs . . 30 Improve the implementation in Exer. 25 . . . .

Adjust the game in Exer. 7 . . . . . . . . . Probabilities of throwing two dice . . . . . . . Compute the probability of drawing balls . . . . Compute the probability of hands of cards . . . Play with vectorized boolean expressions . . . . Vectorize the program from Exer. 1 . . . . . . Vectorize the code in Exer. 2 . . . . . . . . Throw dice and compute a small probability . . Difference equation for random numbers . . . . Make a class for drawing balls from a hat .

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