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  2. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    This principle, foundational for all mathematics, was first elaborated for geometry, and was systematized by Euclid around 300 BC in his book Elements. [ 21 ] [ 22 ] The resulting Euclidean geometry is the study of shapes and their arrangements constructed from lines, planes and circles in the Euclidean plane ( plane geometry ) and the three ...

  3. Principles and Standards for School Mathematics - Wikipedia

    en.wikipedia.org/wiki/Principles_and_Standards...

    The Principles and Standards for School Mathematics was developed by the NCTM. The NCTM's stated intent was to improve mathematics education. The contents were based on surveys of existing curriculum materials, curricula and policies from many countries, educational research publications, and government agencies such as the U.S. National Science Foundation. [3]

  4. Undergraduate Texts in Mathematics - Wikipedia

    en.wikipedia.org/wiki/Undergraduate_Texts_in...

    The books in this series, like the other Springer-Verlag mathematics series, are small yellow books of a standard size. The books in this series tend to be written at a more elementary level than the similar Graduate Texts in Mathematics series, although there is a fair amount of overlap between the two series in terms of material covered and ...

  5. Everyday Mathematics - Wikipedia

    en.wikipedia.org/wiki/Everyday_Mathematics

    California has one of the most rigorous textbook adoption processes and in January 2001 rejected Everyday Mathematics for failing to meet state content standards. [8] Everyday Math stayed off the California textbook lists until 2007 when the publisher released a California version of the 3rd edition that is supplemented with more traditional ...

  6. Metric space - Wikipedia

    en.wikipedia.org/wiki/Metric_space

    Real analysis makes use of both the metric on and the Lebesgue measure. Therefore, generalizations of many ideas from analysis naturally reside in metric measure spaces : spaces that have both a measure and a metric which are compatible with each other.

  7. Principia Mathematica - Wikipedia

    en.wikipedia.org/wiki/Principia_Mathematica

    The Principia Mathematica (often abbreviated PM) is a three-volume work on the foundations of mathematics written by the mathematician–philosophers Alfred North Whitehead and Bertrand Russell and published in 1910, 1912, and 1913.

  8. Mathematical logic - Wikipedia

    en.wikipedia.org/wiki/Mathematical_logic

    forall x: an introduction to formal logic, a free textbook by P. D. Magnus. A Problem Course in Mathematical Logic, a free textbook by Stefan Bilaniuk. Detlovs, Vilnis, and Podnieks, Karlis (University of Latvia), Introduction to Mathematical Logic. (hyper-textbook). In the Stanford Encyclopedia of Philosophy: Classical Logic by Stewart Shapiro.

  9. Textbook - Wikipedia

    en.wikipedia.org/wiki/Textbook

    Textbooks written in Pashto distributed to Afghan school children. A textbook is a book containing a comprehensive compilation of content in a branch of study with the intention of explaining it. Textbooks are produced to meet the needs of educators, usually at educational institutions. Schoolbooks are textbooks and other books used in schools.

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