English
1971
ISBN: 0821814192
DJVU
pages: 265

Combinatorics is the theory of finite sets. This is a wide, amorphous, primordial subject matter which in principle includes subareas where more structure and more specific structure is assumed; but whether historically they have grown before or next to combinatorics, or were part of a more general theory encompassing similar infinite structures, or were indeed originally part of combinatorics, many such areas are now considered as separate fields. Number theory and the theories of partitions and finite groups are examples of the first; the theories of finite fields and finite geometries of the second; graph theory and the theory of designs are on their way to be examples of the third kind.

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