# index of tables

Since early in the history of mathematics, tables have served to aid in various computational tasks. Even today, with the ready availability of powerful calculators, tables still serve an important pedagogical purpose. Tables are found in the main text of mathematical papers and books, to illustrate the concepts in question, and as the back matter of books.

## 2 Logical tables

Truth tables  can be made for some fairly complicated expressions, but the ones of most use to computer programming students are those for the basic expressions, a truth table for logical AND, a truth table for logical OR, a truth table for logical XOR, etc. These can be expressed as binary operations by simply replacing TRUEs with 1s and FALSEs with 0s.

## 4 Number theory tables

Books about prime numbers  can be reliably counted upon to list the first thousand positive prime numbers, or perhaps the first ten thousand, but certainly the first hundred. A book about prime numbers, or a book about number theory   in general, might have as an appendix a table of integer factorizations for $0. A table of Mersenne primes generally gives the exponent   rather than writing out the prime in base 10 since these numbers get very large very quickly. A book specifically on Mersenne primes  might also have a table of factors of small Mersenne numbers. The Fermat numbers grow large even more quickly, and thus a table of factors of Fermat numbers is even less likely to write out Fermat numbers.

In the study of global fields, a table of some fundamental units and a table of class numbers of imaginary quadratic fields is a useful aid to the student.

## 6 Reference tables

For reference purposes, there are tables where one can look up the specific value of a real number or a sequence  of numbers. For example, an index of important irrational constants such as Borwein’s dictionary of real numbers. For sequences of integers, there are the books by Neil Sloane, the Handbook of Integer Sequences and the Encyclopedia of Integer Sequences, both predecessors to the Online Encyclopedia of Integer Sequences.

Title index of tables IndexOfTables 2013-03-22 18:07:31 2013-03-22 18:07:31 PrimeFan (13766) PrimeFan (13766) 8 PrimeFan (13766) Topic msc 00A20