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  2. Raymond Louis Wilder - Wikipedia

    en.wikipedia.org/wiki/Raymond_Louis_Wilder

    [2] 1965 (1952). Introduction to the foundations of mathematics. [3] 1969. Evolution of mathematical concepts. An elementary study. 1981. Mathematics as a cultural system. (ISBN 0-08-025796-8) Biographical: Raymond, F., 2003, " Raymond Louis Wilder" in Biographical Memoirs National Academy of Sciences 82: 336–51. Related work cited in this entry:

  3. History of geometry - Wikipedia

    en.wikipedia.org/wiki/History_of_geometry

    Pythagorean theorem: a 2 + b 2 = c 2 Thales (635–543 BC) of Miletus (now in southwestern Turkey), was the first to whom deduction in mathematics is attributed. There are five geometric propositions for which he wrote deductive proofs, though his proofs have not survived.

  4. Mathematical formulation of quantum mechanics - Wikipedia

    en.wikipedia.org/wiki/Mathematical_formulation...

    v. t. e. The mathematical formulations of quantum mechanics are those mathematical formalisms that permit a rigorous description of quantum mechanics. This mathematical formalism uses mainly a part of functional analysis, especially Hilbert spaces, which are a kind of linear space. Such are distinguished from mathematical formalisms for physics ...

  5. Mathematical Methods of Classical Mechanics - Wikipedia

    en.wikipedia.org/wiki/Mathematical_Methods_of...

    Mathematical Methods of Classical Mechanics is a textbook by mathematician Vladimir I. Arnold. It was originally written in Russian, and later translated into English by A. Weinstein and K. Vogtmann. [ 1] It is aimed at graduate students. Mathematical Methods of Classical Mechanics. First English edition.

  6. Morris Kline - Wikipedia

    en.wikipedia.org/wiki/Morris_Kline

    Education and career. Kline was born to a Jewish family in Brooklyn and resided in Jamaica, Queens. After graduating from Boys High School in Brooklyn, he studied mathematics at New York University, earning a bachelor's degree in 1930, a master's degree in 1932, and a doctorate (Ph.D.) in 1936. He continued at NYU as an instructor until 1942.

  7. What Is Mathematics? - Wikipedia

    en.wikipedia.org/wiki/What_Is_Mathematics?

    16608993. What Is Mathematics? is a mathematics book written by Richard Courant and Herbert Robbins, published in England by Oxford University Press. It is an introduction to mathematics, intended both for the mathematics student and for the general public. First published in 1941, it discusses number theory, geometry, topology and calculus.

  8. Class field theory - Wikipedia

    en.wikipedia.org/wiki/Class_field_theory

    In mathematics, class field theory (CFT) is the fundamental branch of algebraic number theory whose goal is to describe all the abelian Galois extensions of local and global fields using objects associated to the ground field. [1] Hilbert is credited as one of pioneers of the notion of a class field. However, this notion was already familiar to ...

  9. Wigner's theorem - Wikipedia

    en.wikipedia.org/wiki/Wigner's_theorem

    Wigner's theorem, proved by Eugene Wigner in 1931, [2] is a cornerstone of the mathematical formulation of quantum mechanics. The theorem specifies how physical symmetries such as rotations, translations, and CPT transformations are represented on the Hilbert space of states. The physical states in a quantum theory are represented by unit ...

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