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Holt McDougal is an American publishing company, a division of Houghton Mifflin Harcourt, that specializes in textbooks for use in high schools.. The Holt name is derived from that of U.S. publisher Henry Holt (1840–1926), co-founder of the earliest ancestor business, but Holt McDougal is distinct from contemporary Henry Holt and Company, which claims the history from 1866.
Harcourt School Publishers – U.S. elementary (pre-K–6) publisher with particular strength in the four major subject areas of science, reading, math and social studies. Holt, Rinehart and Winston – U.S. secondary (grades 6–12) publisher with a leading position in literature and language arts, the largest middle and secondary school ...
The expanded company would become Houghton Mifflin Harcourt. McDougal Littell was merged with Harcourt's Holt, Rinehart & Winston to form Holt McDougal. In October 2007, Houghton Mifflin sold Kingfisher to Macmillan Publishers. [38]
Geometry is, along with arithmetic, one of the oldest branches of mathematics. A mathematician who works in the field of geometry is called a geometer. Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry, [a] which includes the notions of point, line, plane, distance, angle, surface, and curve, as fundamental ...
The hinge theorem holds in Euclidean spaces and more generally in simply connected non-positively curved space forms.. It can be also extended from plane Euclidean geometry to higher dimension Euclidean spaces (e.g., to tetrahedra and more generally to simplices), as has been done for orthocentric tetrahedra (i.e., tetrahedra in which altitudes are concurrent) [2] and more generally for ...
They are one of the unifying geometric concepts in algebraic topology, differential geometry and algebraic geometry. Surgery theory is a collection of techniques used to produce one manifold from another in a 'controlled' way, introduced by Milnor . Surgery refers to cutting out parts of the manifold and replacing it with a part of another ...
Joseph Needham, a historian of China, speculated that some star charts of the Chinese Song dynasty may have been drafted on the Mercator projection; [1] however, this claim was presented without evidence, and astronomical historian Kazuhiko Miyajima concluded using cartometric analysis that these charts used an equirectangular projection instead.
In 2001, the proof of the local Langlands conjectures for GL n was based on the geometry of certain Shimura varieties. [27] In the 2010s, Peter Scholze developed perfectoid spaces and new cohomology theories in arithmetic geometry over p-adic fields with application to Galois representations and certain cases of the weight-monodromy conjecture ...
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