By Hans Petter Langtangen

ISBN-10: 3642549594

ISBN-13: 9783642549595

The e-book serves as a primary advent to computing device programming of clinical functions, utilizing the high-level Python language. The exposition is instance and problem-oriented, the place the functions are taken from arithmetic, numerical calculus, records, physics, biology and finance. The booklet teaches "Matlab-style" and procedural programming in addition to object-oriented programming. highschool arithmetic is a required historical past and it really is constructive to check classical and numerical one-variable calculus in parallel with studying this e-book. in addition to studying tips on how to application desktops, the reader also will the right way to clear up mathematical difficulties, bobbing up in quite a few branches of technology and engineering, using numerical equipment and programming. through mixing programming, arithmetic and medical purposes, the e-book lays a superior beginning for training computational technological know-how.

**Read Online 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 info for A Primer on Scientific Programming with Python (4th Edition) (Texts in Computational Science and Engineering, Volume 6)**

**Example text**

Symbols, rather than numerical values. Most programming languages, Python included, have variables similar to the concept of variables in mathematics. 1), and assign the result to the variable y. 5*g*t**2 print y Variables in Python are defined by setting a name (here v0, g, t, or y) equal to a numerical value or an expression involving already defined variables. 1). The program is also safer to modify, because we clearly see what each number is when there is a name associated with it. 6) and not two as was required in the previous program.

2: Study a function for different parameter values . . 3: Study a function and its derivative . . . . . . . 4: Use the Trapezoidal method . . . . . . . . . . 5: Compute a sequence of integrals . . . . . . . . . 6: Use the Trapezoidal method . . . . . . . . . . 7: Compute trigonometric integrals . . . . . . . . 8: Plot functions and their derivatives . . . . . . . 9: Use the Trapezoidal method . . . . . . . . . . 1: Solve a nonhomogeneous linear ODE .

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 formula: 1 y(t) = v0 t ≠ gt2 . 1) 2 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. 11. 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 ∆ t = 0 or t = 2v0 /g .

### A Primer on Scientific Programming with Python (4th Edition) (Texts in Computational Science and Engineering, Volume 6) by Hans Petter Langtangen

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