This text， the fruit of teaching revolution item of higher education in Henan Province， iscompleted in English edition according to our country's curriculum system and education now-adays. The main contents concludeLimits and Continuity of Functions， Derivatives and Dif-ferentials， Mean Value Theorem of Differentials and Applications of Derivatives， IndefiniteIntegrals， Definite Integrals， Differential Calculus of Functions of Several Variables， DoubleIntegrals， Infinite Series， Differential Equations and Difference Ectuations also it includessome useful applications in biology， management of the economy and social science. This..textis abundant in contents it pays more attention to stuff education and students innovation a-bility as well as mathematics application and develops the modeling ideas in utilizing mathe-'matics. As to this text， the structure is precise， the logic is quite clear， and the state is in de-tail， all of which are easy to understand. Besides， it can be used as a teaching material forhigher education in fields like agriculture， forestry， biology， economics and finance it alsocan be a good reference to all kinds of technicians.
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