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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.
The question is whether or not, for all problems for which an algorithm can verify a given solution quickly (that is, in polynomial time), an algorithm can also find that solution quickly. Since the former describes the class of problems termed NP, while the latter describes P, the question is equivalent to asking whether all problems in NP are ...
As Edexcel is the only privately owned examination board in the UK, questions have been raised on whether the examination board is acting in the best interest of students, or solely as a profit making business, due to the wide range of Edexcel-endorsed text books published by Pearson, the international multi-billion company which owns the board.
Goldbach’s Conjecture. One of the greatest unsolved mysteries in math is also very easy to write. Goldbach’s Conjecture is, “Every even number (greater than two) is the sum of two primes ...
Encyclopedia of Mathematics. EMS Press. 2001 [1994]. "Original text of Hilbert's talk, in German". Archived from the original on 2012-02-05 "David Hilbert's "Mathematical Problems": A lecture delivered before the International Congress of Mathematicians at Paris in 1900" (PDF). Mathematical Problems public domain audiobook at LibriVox
Currently, it is only available for Mathematics and offered by the exam board Edexcel. They were introduced in 2002, in response to the UK Government's Excellence in Cities report, as a successor to the S-level examination, and aimed at the top 10% of students in A level tests. They are assessed entirely by external examinations.