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  2. Pure vs. applied mathematics - Wikipedia

    en.wikipedia.org/wiki/Pure_mathematics

    Mathematicians have always had differing opinions regarding the distinction between pure and applied mathematics. One of the most famous (but perhaps misunderstood) modern examples of this debate can be found in G.H. Hardy's 1940 essay A Mathematician's Apology. It is widely believed that Hardy considered applied mathematics to be ugly and dull.

  3. Applied mathematics - Wikipedia

    en.wikipedia.org/wiki/Applied_mathematics

    At some schools, there is a single mathematics department, whereas others have separate departments for Applied Mathematics and (Pure) Mathematics. It is very common for Statistics departments to be separated at schools with graduate programs, but many undergraduate-only institutions include statistics under the mathematics department.

  4. The Princeton Companion to Mathematics - Wikipedia

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

    The book concentrates primarily on modern pure mathematics rather than applied mathematics, although it does also cover both applications of mathematics and the mathematics that relates to those applications; it provides a broad overview of the significant ideas and developments in research mathematics.

  5. List of theorems - Wikipedia

    en.wikipedia.org/wiki/List_of_theorems

    Most of the results below come from pure mathematics, but some are from theoretical physics, economics, and other applied fields. 0–9. 2 ...

  6. Talk:Pure mathematics - Wikipedia

    en.wikipedia.org/wiki/Talk:Pure_mathematics

    This is not true. Pure and applied mathematics are not hostile to each other. Pure and applied mathematics have never been hostile to each other. Pure and applied mathematics cannot be hostile to each other because, in fact, there is absolutely nothing in common between them."Paul August ☎ 00:22, 27 November 2018 (UTC)

  7. Real analysis - Wikipedia

    en.wikipedia.org/wiki/Real_analysis

    In mathematics, the branch of real analysis studies the behavior of real numbers, sequences and series of real numbers, and real functions. [1] Some particular properties of real-valued sequences and functions that real analysis studies include convergence, limits, continuity, smoothness, differentiability and integrability.

  8. 11 must-see astronomy events in 2025 - AOL

    www.aol.com/weather/11-must-see-astronomy-events...

    The new year will be a busy one in the night sky with celestial sights of all types for everyone to enjoy, many of which can be viewed without needing a telescope or traveling hundreds of miles to ...

  9. 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."