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Book for Numerical Analysis with C++
I am looking for a book in Numerical Analysis, with algorithms implemented in C++. Basically, I am looking for the usual stuff: Newton's method, numerical integration, numerical solutions of differential equations, and so on. I would like to see how C++ can be used for doing numerical analysis, so taking advantage of the inheritance mechanism and the object-oriented programming style.
There are many books of Numerical Analysis which implement their algorithms in Matlab, such as for example this one: http://www.springer.com/gp/book/9783540346586 which is quite good.
Now, I am looking for something similar, but where C++ is used instead of Matlab or Python.
What is the problem? Apparently there are some, but they are quite old, like this one: https://www.amazon.com/Introduction-Numerical-Methods-C/dp/0198506937 but the version of the langauge used is almost obsolete, as its first edition is from 1999. So I am asking you if you know some similar book, possibly well written, which uses C++ as it is today.
I should add that I checked the book https://www.amazon.com/Scientific-Computing-Undergraduate-Computer-Science/dp/1447127358/ref=pd_sbs_14_1?_encoding=UTF8&pd_rd_i=1447127358&pd_rd_r=PV5HVAQ38QVEBC2CB951&pd_rd_w=eehAa&pd_rd_wg=eQQz2&psc=1&refRID=PV5HVAQ38QVEBC2CB951 but I hoestly came to hate it. Unclear and confusing, I totally agree with the 1-star review and possibly worse.
So do you have any suggestion? Thank you very much.
There are many books of Numerical Analysis which implement their algorithms in Matlab, such as for example this one: http://www.springer.com/gp/book/9783540346586 which is quite good.
Now, I am looking for something similar, but where C++ is used instead of Matlab or Python.
What is the problem? Apparently there are some, but they are quite old, like this one: https://www.amazon.com/Introduction-Numerical-Methods-C/dp/0198506937 but the version of the langauge used is almost obsolete, as its first edition is from 1999. So I am asking you if you know some similar book, possibly well written, which uses C++ as it is today.
I should add that I checked the book https://www.amazon.com/Scientific-Computing-Undergraduate-Computer-Science/dp/1447127358/ref=pd_sbs_14_1?_encoding=UTF8&pd_rd_i=1447127358&pd_rd_r=PV5HVAQ38QVEBC2CB951&pd_rd_w=eehAa&pd_rd_wg=eQQz2&psc=1&refRID=PV5HVAQ38QVEBC2CB951 but I hoestly came to hate it. Unclear and confusing, I totally agree with the 1-star review and possibly worse.
So do you have any suggestion? Thank you very much.
oh goodness ... numerical recipes in c is a classic... but the code is full of third rate hacks to get the job done, its extremely poorly written code even for its own era, nevermind today's approaches. (And if I am saying that, you know its bad!)
I don't know of any written in the modern fashion. Math is the one place object oriented code kind of fall apart to me... I prefer loose functions, in a namespace. The only object oriented math code I used was for linear algebra, and that was just to overload operators for the container really to make the code look like the math it represented.
But I didn't handle generic form equations. For that, you need a class, if you want more than say a vector of [0] = 0th power coefficient, [1] = 1st power coefficient, ... style storage. Ive done it this way, but never anything fancier.
Do you have a class in mind, and what it represents?
I don't know of any written in the modern fashion. Math is the one place object oriented code kind of fall apart to me... I prefer loose functions, in a namespace. The only object oriented math code I used was for linear algebra, and that was just to overload operators for the container really to make the code look like the math it represented.
But I didn't handle generic form equations. For that, you need a class, if you want more than say a vector of [0] = 0th power coefficient, [1] = 1st power coefficient, ... style storage. Ive done it this way, but never anything fancier.
Do you have a class in mind, and what it represents?
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Numerical Recipes: the Art of Scientific Computing (3rd ed., 2007) - expensive book, though: better with access to a University library. Note that it was written before c++11 and uses some "in-house" c++. Very strong on the mathematical methods.
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It is not exactly what I am looking for. To repeat it: ". I would like to see how C++ can be used for doing numerical analysis, so taking advantage of the inheritance mechanism and the object-oriented programming style. Apparently there are some, but they are quite old, like this one: https://www.amazon.com/Introduction-Numerical-Methods-C/dp/0198506937 but the version of the langauge used is almost obsolete, as its first edition is from 1999. So I am asking you if you know some similar book, possibly well written, which uses C++ as it is today. "
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