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  2. Discrete mathematics - Wikipedia

    en.wikipedia.org/wiki/Discrete_mathematics

    Discrete mathematics is the study of mathematical structures that can be considered "discrete" (in a way analogous to discrete variables, having a bijection with the set of natural numbers) rather than "continuous" (analogously to continuous functions).

  3. List of unsolved problems in mathematics - Wikipedia

    en.wikipedia.org/wiki/List_of_unsolved_problems...

    Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.

  4. Outline of discrete mathematics - Wikipedia

    en.wikipedia.org/.../Outline_of_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 [1] – do not vary smoothly in this way, but have distinct, separated values. [2]

  5. 10 Hard Math Problems That Even the Smartest People in the ...

    www.aol.com/10-hard-math-problems-even-150000090...

    The Riemann Hypothesis. Today’s mathematicians would probably agree that the Riemann Hypothesis is the most significant open problem in all of math. It’s one of the seven Millennium Prize ...

  6. List of unsolved problems in computer science - Wikipedia

    en.wikipedia.org/wiki/List_of_unsolved_problems...

    The problem to determine all positive integers such that the concatenation of and in base uses at most distinct characters for and fixed [citation needed] and many other problems in the coding theory are also the unsolved problems in mathematics.

  7. P versus NP problem - Wikipedia

    en.wikipedia.org/wiki/P_versus_NP_problem

    The class of questions where an answer can be verified in polynomial time is "NP", standing for "nondeterministic polynomial time". [Note 1] An answer to the P versus NP question would determine whether problems that can be verified in polynomial time can also be solved in polynomial time.

  8. Concrete Mathematics - Wikipedia

    en.wikipedia.org/wiki/Concrete_Mathematics

    The term "concrete mathematics" also denotes a complement to "abstract mathematics". The book is based on a course begun in 1970 by Knuth at Stanford University. The book expands on the material (approximately 100 pages) [1] in the "Mathematical Preliminaries" [2] section of Knuth's The Art of Computer Programming. Consequently, some readers ...

  9. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    The four color theorem and optimal sphere packing were two major problems of discrete mathematics solved in the second half of the 20th century. [44] The P versus NP problem, which remains open to this day, is also important for discrete mathematics, since its solution would potentially impact a large number of computationally difficult ...

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