Outline of Discrete Mathematics

Outline Of Discrete Mathematics

The following outline is presented as an overview of and topical guide to discrete mathematics:

Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous. In contrast to real numbers that have the property of varying "smoothly", the objects studied in discrete mathematics – such as integers, graphs, and statements in logic – do not vary smoothly in this way, but have distinct, separated values. Discrete mathematics therefore excludes topics in "continuous mathematics" such as calculus and analysis.

Included below are many of the standard terms used routinely in university-level courses and in research papers. This is not, however, intended as a complete list of mathematical terms; just a selection of typical terms of art that may be encountered.

Read more about Outline Of Discrete Mathematics:  Subjects in Discrete Mathematics, Discrete Mathematical Disciplines, Discrete Mathematicians

Famous quotes containing the words outline of, outline, discrete and/or mathematics:

    It is the business of thought to define things, to find the boundaries; thought, indeed, is a ceaseless process of definition. It is the business of Art to give things shape. Anyone who takes no delight in the firm outline of an object, or in its essential character, has no artistic sense.... He cannot even be nourished by Art. Like Ephraim, he feeds upon the East wind, which has no boundaries.
    Vance Palmer (1885–1959)

    A true poem is distinguished not so much by a felicitous expression, or any thought it suggests, as by the atmosphere which surrounds it. Most have beauty of outline merely, and are striking as the form and bearing of a stranger; but true verses come toward us indistinctly, as the very breath of all friendliness, and envelop us in their spirit and fragrance.
    Henry David Thoreau (1817–1862)

    We have good reason to believe that memories of early childhood do not persist in consciousness because of the absence or fragmentary character of language covering this period. Words serve as fixatives for mental images. . . . Even at the end of the second year of life when word tags exist for a number of objects in the child’s life, these words are discrete and do not yet bind together the parts of an experience or organize them in a way that can produce a coherent memory.
    Selma H. Fraiberg (20th century)

    The three main medieval points of view regarding universals are designated by historians as realism, conceptualism, and nominalism. Essentially these same three doctrines reappear in twentieth-century surveys of the philosophy of mathematics under the new names logicism, intuitionism, and formalism.
    Willard Van Orman Quine (b. 1908)