Abstract
Extreme thought is the basic idea of calculus. A series of important concepts in mathematical analysis, such as the continuity of functions, derivatives and definite integrals, are all defined with the help of extreme thought. The generation and improvement of extreme thought is under the need of society and it has created a new impetus for the development of mathematics, and has become the basis and starting point of modern mathematical thought and methods. In order to deepen the public’s understanding of extreme thought, this article has studied the development and application of extreme thought. First of all, the concept and emergence of extreme thought are briefly introduced, and then the development process of extreme thought is analyzed from three stages: the germination period, the development period, and the perfect period, and finally the application of extreme thought in mathematical analysis is explained from three aspects.
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