By Hans Petter Langtangen
The publication serves as a primary creation to laptop programming of medical functions, 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 helpful to check classical and numerical one-variable calculus in parallel with analyzing this e-book. in addition to studying find out how to software pcs, the reader also will how one can clear up mathematical difficulties, bobbing up in numerous branches of technology and engineering, because of numerical equipment and programming. via mixing programming, arithmetic and clinical purposes, the booklet lays an exceptional starting place for training computational science.
From the reviews: Langtangen … does a superb activity of introducing programming as a suite of abilities in challenge fixing. He publications the reader into considering competently approximately generating software good judgment and knowledge buildings 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 discovered 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. cook dinner, The Mathematical organization of the US, September 2011
This booklet is going via Python specifically, and programming commonly, through initiatives that scientists will most probably practice. It comprises necessary information for scholars new to clinical computing and could be the ideal bridge among an advent to programming and a sophisticated path on numerical tools or computational science.
Alex Small, IEEE, CiSE Vol. 14 (2), March /April 2012
“This fourth variation is a superb, inclusive textbook that covers pretty well every little thing one must understand to head from 0 to really refined medical programming in Python…”
Joan Horvath, Computing studies, March 2015
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Extra resources for A Primer on Scientific Programming with Python
Make a class for 2D random walk . . . . . . . Vectorize the class code from Exer. 35 . . . . 2D random walk with walls; scalar version . . . 2D random walk with walls; vectorized version . Simulate the mixture of gas molecules . . . . . Simulate the mixture of gas molecules . . . . . Guess beer brands . . . . . . . . . . . . . . Simulate stock prices . . . . . . . . . . . . . Compute with option prices in finance . . . . . Compute velocity and acceleration .
Implement the modified Euler method; function . Implement the modified Euler method; class . . . Increase the flexibility in Exer. 28 . . . . . . Solve an ODE specified on the command line . . Apply a polynomial class . . . . . . . . . . . Find a bug in a class for polynomials . . . . . . Subtraction of polynomials . . . . . . . . . . Represent a polynomial by an array . . . . . . Vectorize a class for polynomials . . . . . . . . Use a dict to hold polynomial coefficients; add .
From Newton’s second law of motion one can set up a mathematical model for the motion of the ball and find that the vertical position of the ball, called y , varies with time t according to the following formula2 : 1 y(t) = v0 t − gt2 . 1) Another frequent word for folder is directory. 10. 1 2 1 Computing with Formulas Here, v0 is the initial velocity of the ball, g is the acceleration of gravity, and t is time. Observe that the y axis is chosen such that the ball starts at y = 0 when t = 0. To get an overview of the time it takes for the ball to move upwards and return to y = 0 again, we can look for solutions to the equation y = 0: 1 1 v0 t − gt2 = t(v0 − gt) = 0 2 2 : t = 0 or t = 2v0 /g .