Newton's Method Case Study

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Intro: Newtons Method: Haley F. / Andrew H.

Newton’s Method, also known as Newton-Raphson method, is a method used for finding the zeros, roots or in more simple terms where any given function exactly crosses the x access. In calculus we may be presented with problems given that we cannot find a definite answer to, but we can use Newton’s Method to calculate a group of answers that get closer and closer to the actual solution. Newton’s Method has given the world of calculus a method of finding extremely refined educated guesses to once before impossible questions to answer.

The numerical definition of Newton’s Method is defined as follows: If X1 is an initial guess for a solution to the equation f(x) = 0 , then Xn + 1 = − . If we are asked to f(Xn) f′(Xn) + Xn compute the √5 algebraically, without using a calculator, we can use newton 's method to get an approximate solution. First we know that the √5 is
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Introduction to Numerical Linear Algebra and Optimisation. Cambridge [England] ; New York: Cambridge University Press, 1989.
-Gockenbach, Mark, and Chang Liu. "Local Convergence of Newton 's Method in the Classical Calculus of Variations." Optimization, 64.4 (2015): 957-980.
-Meza, Juan C. "Newton 's Method." Wiley Interdisciplinary Reviews: Computational Statistics, 3.1 (2011): 75-78.
-"Newton 's Method." Newton 's Method. University of British Columbia Department of Mathematics., n.d. Web. 27 Nov. 2015.
-"Newton 's Method." Paul 's Online Class Notes. Lamar University, n.d. Web. 27 Nov. 2015.
-"The Calculus of Newton and Leibniz." Sources in the Development of Mathematics, (2011): 120-139.
-Thoo, J. B. "Some Derivatives of Newton 's Method." PRIMUS, 12.2 (2002): 165-180.
-Vincent, Brittany, Renee LaRue, Vicki Sealey, and Nicole Engelke. "Calculus Students ' Early Concept Images of Tangent Lines." International Journal of Mathematical Education in Science & Technology, 46.5 (2015):

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