The Approximate Computation of the Irrational Number and Analysis
Student: Li Wen Advisor: Lei Jianguang
School of Science, Zhejiang University of Science and Technology
Abstract
Numerical computation method is an effective method that is for studying the numerical solution of the various mathematical problems. Its basic ideology, basic principles and fundamental approach have been penetrated into many fields and have in-depth application and all these are based on the fundamentality of its theory and universality of its application. With the development of contemporary science and technology and the widespread use of computer, the computer has provided a scientific modern environment for the mathematical field, and scientific calculation method has greatly enhanced the efficiency of studying mathematics. The numerical computation method which the topic related to is a typical scientific calculation method, it is a method to investigate and solve the numerical approximation solution of mathematical problems, and it is also a ideal way to solve mathematical problems on a computer. This essay mainly discusses the irrational approximate calculation by the method of numerical computation, then some examples are given to show the idea. The results in this examples are get by the Mathematica software. Observs and compares analyzes the astringency, convergent rate, the amount of computation, and the desirability of the precise degree of approximation of the various methods. Acquires new harvest simultaneity in the consolidation of the knowledge.
Keyword: numerical computation; Mathematica software;; Monte Carlo method; astringency