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Tom Mike Apostol (/ ə ˈ p ɑː s əl / ə-POSS-əl; [1] August 20, 1923 – May 8, 2016) [2] was an American mathematician and professor at the California Institute of Technology specializing in analytic number theory, best known as the author of widely used mathematical textbooks.
Project Mathematics! (stylized as Project MATHEMATICS!), is a series of educational video modules and accompanying workbooks for teachers, developed at the California Institute of Technology to help teach basic principles of mathematics to high school students. [1] In 2017, the entire series of videos was made available on YouTube.
The Library of Congress: Historic American Sheet Music: 1850–1920: American: 3,042 19th and early 20th-century American sheet music drawn from the Rare Book, Manuscript, and Special Collections Library at Duke University. The Library of Congress: The Library of Congress: Music for the Nation: American Sheet Music 1870–1885: 19th-century ...
Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (e.g. inner product, norm, topology, etc.) and the linear operators acting upon these spaces and respecting these structures in a suitable sense.
In music theory, a perfect fifth is the musical interval corresponding to a pair of pitches with a frequency ratio of 3:2, or very nearly so.. In classical music from Western culture, a fifth is the interval from the first to the last of the first five consecutive notes in a diatonic scale. [2]
Toward the end of the century, during the Tin Pan Alley era, sheet music was sold by dozens and even hundreds of publishing companies. [4] [5] [6] Sheet music industry also suffered of music piracy with pirated reprints, [7] [8] [9] as well various fake books rose considerable amount of copies sold. [5]
Sheet Music Plus, also known as sheetmusicplus.com, is a global online retailer of sheet music, located in Milwaukee, Wisconsin, United States. Founded in 1995 by Nicholas Babchuk, Sheet Music Plus offers the largest selection of sheet music, with more than 2 million titles.
In mathematics—more specifically, in differential geometry—the musical isomorphism (or canonical isomorphism) is an isomorphism between the tangent bundle and the cotangent bundle of a Riemannian or pseudo-Riemannian manifold induced by its metric tensor.