fundamental theorem

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Definition of fundamental theorem in English English dictionary

Related Terms

fundamental theorem of algebra

Theorem of equations proved by Carl Friedrich Gauss in 1799. It states that every polynomial equation of degree n with complex number coefficients has n roots, or solutions, in the complex numbers

fundamental theorem of arithmetic

Fundamental principle of number theory proved by Carl Friedrich Gauss in 1801. It states that any integer greater than 1 can be expressed as the product of prime numbers in only one way

fundamental theorem of calculus

Basic principle of calculus. It relates the derivative to the integral and provides the principal method for evaluating definite integrals (see differential calculus; integral calculus). In brief, it states that any function that is continuous (see continuity) over an interval has an antiderivative (a function whose rate of change, or derivative, equals the function) on that interval. Further, the definite integral of such a function over an interval a x b is the difference F(b) -F(a), where F is an antiderivative of the function. This particularly elegant theorem shows the inverse function relationship of the derivative and the integral and serves as the backbone of the physical sciences. It was articulated independently by Isaac Newton and Gottfried Wilhelm Leibniz

Hyphenation

fun·da·men·tal the·o·rem

Turkish pronunciation

fʌndımentıl thîrım

Pronunciation

/ˌfəndəˈmentəl ˈᴛʜərəm/ /ˌfʌndəˈmɛntəl ˈθɪrəm/