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2. Mathematics - Wikipedia

   en.wikipedia.org/wiki/Mathematics

   Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, [1] algebra, [2] geometry, [1] and analysis, [3 ...

3. Calculus - Wikipedia

   en.wikipedia.org/wiki/Calculus

   In mathematics education, calculus denotes courses of elementary mathematical analysis, which are mainly devoted to the study of functions and limits. The word calculus is Latin for "small pebble" (the diminutive of calx, meaning "stone"), a meaning which still persists in medicine. Because such pebbles were used for counting out distances, [5 ...

4. Derivative - Wikipedia

   en.wikipedia.org/wiki/Derivative

   The derivative is a fundamental tool of calculus that quantifies the sensitivity of change of a function 's output with respect to its input. The derivative of a function of a single variable at a chosen input value, when it exists, is the slope of the tangent line to the graph of the function at that point. The tangent line is the best linear ...

5. Glossary of mathematical symbols - Wikipedia

   en.wikipedia.org/wiki/Glossary_of_mathematical...

   Glossary of mathematical symbols. A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula. As formulas are entirely constituted with symbols of various ...

6. Euler's identity - Wikipedia

   en.wikipedia.org/wiki/Euler's_identity

   where is Euler's number, the base of natural logarithms, is the imaginary unit, which by definition satisfies =, and is pi, the ratio of the circumference of a circle to its diameter.

7. Lists of mathematics topics - Wikipedia

   en.wikipedia.org/wiki/Lists_of_mathematics_topics

   Number theory is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions. German mathematician Carl Friedrich Gauss said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics." Number theory also studies the natural, or whole, numbers.