二元函数的极值及其应用 数学与应用数学专业

内 容 摘 要二元函数理论是其他学科的基础，其中极值是函数中的重要内容，对极值也有很多研究方法，并且函数极值的理论有很多在生活中都有实际意义。无论是在科学研究，还是在物流，实际规划工程，通常要解决如何使投资量输出最大，产出最多，最高效率优化。这些实际问题都可以转化为一个数学问题来研究，进而转化为函数的极大值、极小值问题的解决。在本文中，首先给出的是二元函数的研究背景及现实意义，之后给出二元函数的非条件极值理论，二元函数条件极值理论，二元函数极值的判定，以及二元函数极值的理论应用举例。通过实例中的极值问题，说明所利用知识在求解二元函数极值问题中的重要应用。关 键 词 二元函数 ；无条件极值 ；条件极值 ；判定； 应用the Extreme Value of Binary Function and Its Application AbstractDual function theory is the foundation of other disciplines, including extreme value is an important content in function, the extreme value also has a lot of research methods, and the function extreme value theory has a lot in life has practical significance. Both in scientific research, and in the logistics, the actual planning engineering, often need to solve how to make the investment to maximum output, output the most, the highest efficiency optimization.The actual problem can be transformed into a math problem research capabilities, And then into the function of the maximum and minimum value problem to solve. Is first of all, the paper proposes the research background and practical significance of binary function, then give the unconditional extreme value of binary function theory, the conditions of binary function extreme value theory, extreme value of binary function determination, as well as the extreme value of binary function theory application, for example. Illustrated by an example of extreme value problem, using the knowledge in solving the important application of binary function extremum problems....