Download e-book for kindle: A Primer on Scientific Programming with Python (4th Edition) by Hans Petter Langtangen

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.

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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 .

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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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