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Search Results for "geometric series"
There are 107 Retriever pages mentioning "geometric series":
  1. Archimedes -- Figures
    Was Archimedes using the Stomachion to form such figures? The historian Dr. Reviel Netz has concluded, the prevailing wisdom was based on a misinterpretation. Archimedes was not trying to piece together strips of paper into different shapes; he was trying to see how many ways the 14 irregular strips could be used to form a square.
  2. Archimedes -- Problems
    Archimedes was able to use infinitesimals in a way that is similar to modern integral calculus. By assuming a proposition to be true and showing that this would lead to a contradiction, he could give answers to problems to an arbitrary degree of accuracy, while specifying the limits within which the answer lay. This technique is known as the method of exhaustion, and he employed it to approximate the value of π (Pi). He did this by drawing a larger polygon outside a circle and a smaller polygon inside the circle. As the number of sides of the polygon increases, it becomes a more accurate approximation of a circle. When the polygons had 96 sides each, he calculated the lengths of their sides and showed that the value of π lay between
  3. Archimedes -- Works
    The standard English translation of Archimedes is Thomas L. Health, ed., The Works of Archimedes (1897), which includes a supplement, The Method of Archimedes (1912). For biographical information see E. J. Dijksterhuis, Archimedes (1938; trans. 1956). Archimedes' place in the development of integral calculus is described in Carl B. Boyer, The History of the Calculus and Its Conceptual Development (1949). Works on mathematics for the general reader are Thomas L. Heath, A Manual of Greek Mathematics (1931); Bartel L. van der Waerden, Science Awakening (1950; trans. 1954); and James R. Newman, ed., The World of Mathematics (4 vols., 1956).
  4. John Napier -- Henry Briggs
    Napier sent a copy of his 1614 work to Henry Briggs, professor at Gresham College. While Briggs was explaining it to his students, the idea occurred to him that Napier's logarithms could be made easier to handle if the logarithm of 1 was set at 0. Briggs's proposal met with Napier's full approval, but Napier left it to Briggs to prepare a new logarithmic table based on that proposition; it is known as the table of common logarithms and was first published in 1624.
  5. Trigonometry -- Students
    Trigonometry uses the techniques that students have previously learned from the study of algebra and geometry. The trigonometric functions studied are defined geometrically rather than in terms of algebraic equations. Facility with these functions as well as the ability to prove basic identities regarding them is especially important for students intending to study calculus, more advanced mathematics, physics and other sciences, and engineering in college.
  6. Alien 8
    As with Knight Lore, the environment of Alien 8 takes the form of a series of isometric flip-screen rooms (which trace the outline of a large starship). These are filled with platforms (including some that move), moveable objects, static hazards and dangerous aliens. The latter take the form of strange, sparkling lifeforms (similar to Knight Lore), mouse-Dalek hybrids and mindless, but fast-moving, clockwork mice. As well as executing well-timed manoeuvres and jumps, inventive players can use starship props to block or defend themselves. Another feature is the use of remote controlled drones, which can be directed by the Alien 8 into inaccessible or dangerous areas.
  7. Motherwell -- Works
    Motherwell made his first prints in 1943 and returned to printmaking in the early 1960s at the invitation of the ULAE print studio. His later work with Tyler Graphics, Gemini G.E.L., and printers working in his own studio, evolved into an impressive body of almost 500 editions.
  8. Clay Mathematics Institute -- Problems
    The Clay Mathematics Institute (CMI) is a private, non-profit foundation, dedicated to increasing and disseminating mathematical knowledge. CMI attempts to further the beauty, power and universality of mathematical thought through a series of programs including creation of new mathematical knowledge, dissemination of mathematical insight, inspiration of talented students, recognition of extraordinary mathematical achievement, and celebration of the solution of specific mathematical problems. To learn more about CMI, please visit www.claymath.org.
  9. Numerical Analysis -- Scientific Computing
    Numerical analysis is the study of computer methods for solving math problems that arise in engineering and other scientific areas. It involves both algorithm development (in other words, finding better computer methods) and theoretical analysis (explaining why the methods work). For example, in QCD (quantum chromodynamics), it is often the case that systems of linear equations have a million equations and a million unknowns. Special techniques are required to solve such systems. Research interests in this department include optimization and iterative methods for large matrix problems. The upper level undergraduate courses offered in numerical analysis are Numerical Linear Algebra and Numerical Analysis.
  10. Amy -- Mother
    While studying Mathematics at UCI, Amy ran her own craft and floral design business. She met her husband while teaching at a computer training school, and obtained her Adult Education Teaching Credential after they married. Following the birth of Amy's son, mother-in-law Nina encouraged her to take up quilting. With her background in math, Amy leans toward geometric designs in graded color schemes in her quilts.
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