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

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By Hans Petter Langtangen

The ebook serves as a primary advent to machine programming of clinical 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 e-book teaches "Matlab-style" and procedural programming in addition to object-oriented programming. highschool arithmetic is a required historical past and it's valuable to check classical and numerical one-variable calculus in parallel with studying this booklet. in addition to studying the right way to application pcs, the reader also will how to resolve mathematical difficulties, coming up in a variety of branches of technology and engineering, simply by numerical tools and programming. via mixing programming, arithmetic and medical purposes, the e-book lays a pretty good beginning for working towards computational science.

From the reviews: Langtangen … does a good task of introducing programming as a suite of talents in challenge fixing. He courses the reader into considering accurately approximately generating software common sense and information constructions for modeling real-world difficulties utilizing gadgets and services 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 medical programming in Python ‘on the streets’ can be a little jealous of scholars who've the chance to take a path out of Langtangen’s Primer.” 
John D. prepare dinner, The Mathematical organization of the US, September 2011

This ebook is going via Python particularly, and programming regularly, through projects that scientists will most likely practice. It comprises necessary information for scholars new to clinical computing and often is the ideal bridge among an advent to programming and a complicated path on numerical tools or computational science.
Alex Small, IEEE, CiSE Vol. 14 (2), March/April 2012  

“This fourth version is an excellent, inclusive textbook that covers pretty well every thing one must recognize to head from 0 to really subtle clinical programming in Python…”
Joan Horvath, Computing experiences, March 2015 


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Estimate the probability in a dice game . . . . . Decide if a dice game is fair . . . . . . . . . . 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 . . . .

Represent a polynomial by an array . . . . . . Vectorize a class for polynomials . . . . . . . . Use a dict to hold polynomial coefficients; add . . Use a dict to hold polynomial coefficients; mul . . Extend class Vec2D to work with lists/tuples . . Use NumPy arrays in class Vec2D . . . . . . . Use classes in the program from Ch. 2 . . . . Use a class in Exer. 28 . . . . . . . . . . . Apply the class from Exer. 41 interactively . . Find the optimal production for a company .

0) a str (string) object, without a name, is first made of the text between the quotes and then this str object is printed. 3 Avoiding Integer Division As a quite general rule of thumb, one should avoid integer division in mathematical formulas18 . 2. The simplest remedy in Python is to insert a statement that simply turns off integer division. A more widely applicable method, also in other programming languages than Python, is to enforce one of the operands to be a float object. 0)*C + 32 F = float(C)*9/5 + 32 In the first two lines, one of the operands is written as a decimal number, implying a float object and hence float division.

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