Binary number system can represent only some rational numbers with finite digit count • Example: 1/5

We shall often use the word ‘number’ as meaning ‘integer’ (or ‘positive integer’, etc.), when it is clear from the that we are considering only numbers of this particular class.

In terms of googology, the number “^^” is equal to copies of “^10”. We are getting past the exponents. they may be partially defined or ill-defined.

More formal approaches can be found all over the net, e.g: Victor Shoup, A Computational Introduction to Number Theory and Algebra. One reader of these notes recommends I.N. Herstein, ’Abstract …

The main goal of number theory is to discover interesting and unexpected rela-tionships between different sorts of numbers and to prove that these relationships are true.

The Reimann Zeta Function has been used in algebraic number theory because of its usefulness in dealing with prime numbers. We will see its power in the next proposition.

Sep 11, 2024 · Keep in mind that these are general guidelines and that the most important consideration when deciding the number of decimal places to use in reporting results is the following: Round as …