I'm going to write a class library for .NET which provide an implementation of arbitrary precision arithmetic for integer, rational and maybe complex numbers. What best known approaches should I become familiar with?

I tried to start with Knuth's TAOCP Vol.2 (Seminumerical Algorithms, Chapter 4 – Arithmetic) but it's too complicated. At least I couldn't get the ideas in a relatively short period of time.

I guess to answer that we should compare the intentions of both classes and namespaces. According to Wikipedia:

Class


  In object-oriented programming, a class is a construct that is used as a blueprint to create instances of itself – referred to as class instances, class objects, instance objects or simply objects. A class defines constituent members which enable these class instances to have state and behavior. Data field members (member variables or instance variables) enable a class object to maintain state. Other kinds of members, especially methods, enable a class object's behavior. Class instances are of the type of the associated class.


Namespace


  In general, a namespace is a container that provides context for the identifiers (names, or technical terms, or words) it holds, and allows the disambiguation of homonym identifiers residing in different namespaces.


Now, what are you trying to achieve by putting the functions in a class (statically) or a namespace? I would wager that the definition of a namespace better describes your intention - all you want is a container for your functions. You don't need any of the features described in the class definition. Note that the first words of the class definition are "In object-oriented programming", yet there is nothing object-oriented about a collection of functions.

There are probably technical reasons as well but as someone coming from Java and trying to get my head around the multi-paradigm language that is C++, the most obvious answer to me is: Because we don't need OO to achieve this.
