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[3] [4] [5] They are named after the Italian mathematician Leonardo of Pisa, also known as Fibonacci, who introduced the sequence to Western European mathematics in his 1202 book Liber Abaci. [6] Fibonacci numbers appear unexpectedly often in mathematics, so much so that there is an entire journal dedicated to their study, the Fibonacci Quarterly.
A mathematical exercise is a routine application of algebra or other mathematics to a stated challenge. Mathematics teachers assign mathematical exercises to develop the skills of their students. Early exercises deal with addition , subtraction , multiplication , and division of integers .
Word problem from the Līlāvatī (12th century), with its English translation and solution. In science education, a word problem is a mathematical exercise (such as in a textbook, worksheet, or exam) where significant background information on the problem is presented in ordinary language rather than in mathematical notation.
The apparent plural form in English goes back to the Latin neuter plural mathematica , based on the Greek plural ta mathēmatiká (τὰ μαθηματικά) and means roughly "all things mathematical", although it is plausible that English borrowed only the adjective mathematic(al) and formed the noun mathematics anew, after the pattern of ...
7.5 Exponential and logarithms. 8 See also ... The following is a useful property to calculate low-integer-order polylogarithms recursively in closed form ...
where the domain U has the form U ⊆ X 1 × ⋯ × X n . {\displaystyle U\subseteq X_{1}\times \cdots \times X_{n}.} If all the X i {\displaystyle X_{i}} are equal to the set R {\displaystyle \mathbb {R} } of the real numbers or to the set C {\displaystyle \mathbb {C} } of the complex numbers , one talks respectively of a function of several ...
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As the sum and product of two such matrices is again of this form, these matrices form a subring of the ring of 2 × 2 matrices. A simple computation shows that the map a + i b ↦ ( a − b b a ) {\displaystyle a+ib\mapsto {\begin{pmatrix}a&-b\\b&\;\;a\end{pmatrix}}} is a ring isomorphism from the field of complex numbers to the ring of these ...