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  2. Martin Liebeck - Wikipedia

    en.wikipedia.org/wiki/Martin_Liebeck

    Martin Liebeck studied mathematics at the University of Oxford earning a First Class BA in 1976, an MSc in 1977, and a D.Phil. in 1979, with the Dissertation Finite Permutation Groups under Peter M. Neumann. [4] In January 1991 he was appointed Professor at Imperial College London and became Head of the Pure Mathematics section there in 1997. [5]

  3. A Course of Pure Mathematics - Wikipedia

    en.wikipedia.org/wiki/A_Course_of_Pure_Mathematics

    A Course of Pure Mathematics is a classic textbook in introductory mathematical analysis, written by G. H. Hardy. It is recommended for people studying calculus. First published in 1908, it went through ten editions (up to 1952) and several reprints. It is now out of copyright in UK and is downloadable from various internet web sites.

  4. Pure mathematics - Wikipedia

    en.wikipedia.org/wiki/Pure_mathematics

    Pure mathematics studies the properties and structure of abstract objects, [1] such as the E8 group, in group theory. This may be done without focusing on concrete applications of the concepts in the physical world. Pure mathematics is the study of mathematical concepts independently of any application outside mathematics. These concepts may ...

  5. The Princeton Companion to Mathematics - Wikipedia

    en.wikipedia.org/wiki/The_Princeton_Companion_to...

    An introduction to mathematics, outlining the major areas of study, key definitions, and the goals and purposes of mathematical research. [ 2 ] [ 4 ] An overview of the history of mathematics, in seven chapters including the development of important concepts such as number, geometry, mathematical proof, and the axiomatic approach to the ...

  6. File:Primary Mathematics.pdf - Wikipedia

    en.wikipedia.org/wiki/File:Primary_Mathematics.pdf

    You are free: to share – to copy, distribute and transmit the work; to remix – to adapt the work; Under the following conditions: attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made.

  7. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    In the present day, the distinction between pure and applied mathematics is more a question of personal research aim of mathematicians than a division of mathematics into broad areas. [124] [125] The Mathematics Subject Classification has a section for "general applied mathematics" but does not mention "pure mathematics". [14]

  8. Number theory - Wikipedia

    en.wikipedia.org/wiki/Number_theory

    Number theory is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions.German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics."

  9. Surreal number - Wikipedia

    en.wikipedia.org/wiki/Surreal_number

    A visualization of the surreal number tree. In mathematics, the surreal number system is a totally ordered proper class containing not only the real numbers but also infinite and infinitesimal numbers, respectively larger or smaller in absolute value than any positive real number.