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  2. Principia Mathematica - Wikipedia

    en.wikipedia.org/wiki/Principia_Mathematica

    Sections 10, 11, 12: Properties of a variable extended to all individuals: section 10 introduces the notion of "a property" of a "variable". PM gives the example: φ is a function that indicates "is a Greek", and ψ indicates "is a man", and χ indicates "is a mortal" these functions then apply to a variable x .

  3. Principles of Mathematical Analysis - Wikipedia

    en.wikipedia.org/wiki/Principles_of_Mathematical...

    Principles of Mathematical Analysis, colloquially known as "PMA" or "Baby Rudin," [1] is an undergraduate real analysis textbook written by Walter Rudin. Initially published by McGraw Hill in 1953, it is one of the most famous mathematics textbooks ever written.

  4. Walter Rudin - Wikipedia

    en.wikipedia.org/wiki/Walter_Rudin

    Walter Rudin (May 2, 1921 – May 20, 2010 [2]) was an Austrian-American mathematician and professor of mathematics at the University of Wisconsin–Madison. [3]In addition to his contributions to complex and harmonic analysis, Rudin was known for his mathematical analysis textbooks: Principles of Mathematical Analysis, [4] Real and Complex Analysis, [5] and Functional Analysis. [6]

  5. The Principles of Mathematics - Wikipedia

    en.wikipedia.org/wiki/The_Principles_of_Mathematics

    The Principles of Mathematics (PoM) is a 1903 book by Bertrand Russell, in which the author presented his famous paradox and argued his thesis that mathematics and logic are identical. [ 1 ] The book presents a view of the foundations of mathematics and Meinongianism and has become a classic reference.

  6. Mathematical analysis - Wikipedia

    en.wikipedia.org/wiki/Mathematical_analysis

    In mathematics, a metric space is a set where a notion of distance (called a metric) between elements of the set is defined. Much of analysis happens in some metric space; the most commonly used are the real line , the complex plane , Euclidean space , other vector spaces , and the integers .

  7. Philosophical views of Bertrand Russell - Wikipedia

    en.wikipedia.org/wiki/Philosophical_views_of...

    Russell then discovered that Gottlob Frege had independently arrived at equivalent definitions for 0, successor, and number, and the definition of number is now usually referred to as the Frege-Russell definition. [11] Russell drew attention to Frege's priority in 1903, when he published The Principles of Mathematics (see below). [12]

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  9. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    Around 300 BC, Euclid organized mathematical knowledge by way of postulates and first principles, which evolved into the axiomatic method that is used in mathematics today, consisting of definition, axiom, theorem, and proof. [78] His book, Elements, is widely considered the most successful and influential textbook of all time. [79]

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