A Primer on Scientific Programming with Python (Texts in by Hans Petter Langtangen

By Hans Petter Langtangen

The e-book serves as a primary creation 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, information, physics, biology and finance. The booklet teaches "Matlab-style" and procedural programming in addition to object-oriented programming. highschool arithmetic is a required history and it's effective to review classical and numerical one-variable calculus in parallel with studying this booklet. in addition to studying the way to software desktops, the reader also will the right way to resolve mathematical difficulties, bobbing up in quite a few branches of technology and engineering, using numerical tools and programming. by way of mixing programming, arithmetic and clinical functions, the ebook lays a great beginning for training computational science.

From the reviews: Langtangen … does an outstanding activity of introducing programming as a suite of talents in challenge fixing. He publications the reader into considering adequately approximately generating software good judgment and information 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 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. prepare dinner, The Mathematical organization of the USA, September 2011

This booklet is going via Python particularly, and programming commonly, through projects that scientists will most probably practice. It includes precious information for scholars new to clinical computing and often is the ideal bridge among an advent to programming and a sophisticated direction on numerical equipment 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 little thing one must be aware of to head from 0 to relatively subtle clinical programming in Python…”
Joan Horvath, Computing stories, March 2015 


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Additional info for A Primer on Scientific Programming with Python (Texts in Computational Science and Engineering)

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Add the effect of air resistance on a ball . . . . Solve an ODE system for an electric circuit . . . 74) . . . Explore predator-prey population interactions . . Formulate a 2nd-order ODE as a system . . . . Solve the system in Exer. 30 in a special case . Enhance the code from Exer. 31 . . . . . . . Make a tool for analyzing oscillatory solutions . . Replace functions by class in Exer. 32 . . . . Allow flexible choice of functions in Exer. 34 . Use the modules from Exer.

Now you understand why any program text must be carefully typed, paying attention to the correctness of every character. If you try out program texts from this book, make sure that you type them in exactly as you see them in the book. py extension. 7 “Programming demands significantly higher standard of accuracy. ” –Donald Knuth [4, p. 18], computer scientist, 1938-. 1 The First Programming Encounter: A Formula in correctly. Any attempt not to follow this advice will cause you frustrations, sweat, and maybe even tears.

27 28 1 Computing with Formulas The reason why we get two slightly different results is that typing just y prints out all the decimals that are stored in the computer (16), while print y writes out y with fewer decimals. As mentioned on page 25, computations on a computer often suffer from round-off errors. The present calculation is no exception. 8342, but round-off errors lead to a number that is incorrect in the 16th decimal. The error is here 4 · 10−16 . 2 Type Conversion Often you can work with variables in Python without bothering about the type of objects these variables refer to.

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