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  2. Differential form - Wikipedia

    en.wikipedia.org/wiki/Differential_form

    A general 1-form is a linear combination of these differentials at every point on the manifold: + +, where the f k = f k (x 1, ... , x n) are functions of all the coordinates. A differential 1-form is integrated along an oriented curve as a line integral.

  3. List of mathematical series - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_series

    9 Notes. 10 References. Toggle the table of contents ... The following is a useful property to calculate low-integer-order polylogarithms recursively in closed form ...

  4. Mathematics, Form and Function - Wikipedia

    en.wikipedia.org/wiki/Mathematics,_Form_and_Function

    Mathematics, Form and Function, a book published in 1986 by Springer-Verlag, is a survey of the whole of mathematics, including its origins and deep structure, by the American mathematician Saunders Mac Lane.

  5. Lecture Notes in Mathematics - Wikipedia

    en.wikipedia.org/wiki/Lecture_Notes_in_Mathematics

    Lecture Notes in Mathematics is a book series in the field of mathematics, including articles related to both research and teaching. It was established in 1964 and was edited by A. Dold, Heidelberg and B. Eckmann, Zürich. Its publisher is Springer Science+Business Media (formerly Springer-Verlag).

  6. Bhāskara I - Wikipedia

    en.wikipedia.org/wiki/Bhāskara_I

    Bhāskara (c. 600 – c. 680) (commonly called Bhāskara I to avoid confusion with the 12th-century mathematician Bhāskara II) was a 7th-century Indian mathematician and astronomer who was the first to write numbers in the Hindu–Arabic decimal system with a circle for the zero, and who gave a unique and remarkable rational approximation of the sine function in his commentary on Aryabhata's ...

  7. Principia Mathematica - Wikipedia

    en.wikipedia.org/wiki/Principia_Mathematica

    It is to be regretted that this first comprehensive and thorough-going presentation of a mathematical logic and the derivation of mathematics from it [is] so greatly lacking in formal precision in the foundations (contained in 1– 21 of Principia [i.e., sections 1– 5 (propositional logic), 8–14 (predicate logic with identity/equality), 20 ...

  8. One-form (differential geometry) - Wikipedia

    en.wikipedia.org/wiki/One-form_(differential...

    In differential geometry, a one-form (or covector field) on a differentiable manifold is a differential form of degree one, that is, a smooth section of the cotangent bundle. [1] Equivalently, a one-form on a manifold is a smooth mapping of the total space of the tangent bundle of to whose restriction to each fibre is a linear functional on the ...

  9. Lists of mathematics topics - Wikipedia

    en.wikipedia.org/wiki/Lists_of_mathematics_topics

    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. One of the central concepts in number theory is that of the prime number , and there are many questions about primes that appear simple but whose ...

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