关于泰勒公式的研究生论文

The Taylor formula is in the mathematical analysis the very important content, the centralism has manifested the calculus “the approximation” the essence, has the important application in calculus each aspect. This article about the Taylor formula's proof, has given the belt each kind of error term Taylor formula, and has given its proof method; But the Taylor formula's application part mainly uses the example analysis the method, discussed three issues, namely asks the limit of function, the certificate inequality using the Taylor formula, to ask the approximate value aspect the application and the skill. Which situations did the paper ultimate analysis summarize the belt to wear Asian the error term Taylor formula and belt Lagrange the error term Taylor formula same and the different characteristic and summarizes with emphasis applies the Taylor formula solution question. Through above several aspect's research, causes us to form the specific thought in the special situation, enables the problem solving to have the twice the result with half the effort effect. 或者Taylor formula is a very important mathematical analysis of the contents of a concentrated expression of the calculus "approximation" of the essence, in the various aspects of calculus have important applications. This article on the Taylor formula that gives the band all over the Taylor formula, and gives its proven methods and the application of the Taylor formula major analysis of the methods used, for example, to discuss three issues, namely application of the formula Taylor Limit function for that inequality, and approximation of the application of and skills. Papers final analysis summed up the band over the Peano-Taylor formula and with Lagrange-Taylor over the same formula with different characteristics and key summed up the circumstances in which application of the formula to solve the problem Taylor. Through the above areas of research, so that we have a special situation in a specific ideology, so that problem solving can be a multiplier effect.

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Abstract: The Taylor formula is in the mathematical analysis the very important content, the centralism has manifested the calculus “the approximation” the essence, has the important application in calculus each aspect. This article about the Taylor formula's proof, has given the belt each kind of error term Taylor formula, and has given its proof method; But the Taylor formula's application part mainly uses the example analysis the method, discussed three issues, namely asks the limit of function, the certificate inequality using the Taylor formula, to ask the approximate value aspect the application and the skill. Which situations did the paper ultimate analysis summarize the belt to wear Asian the error term Taylor formula and belt Lagrange the error term Taylor formula same and the different characteristic and summarizes with emphasis applies the Taylor formula solution question. Through above several aspect's research, causes us to form the specific thought in the special situation, enables the problem solving to have the twice the result with half the effort