在微积分学中,主要是从连续性、可微性、黎 - 上212（In calculus, mainly from the continuity, differentiability, Li - 212）.docVIP

在微积分学中,主要是从连续性、可微性、黎 - 上212（In calculus, mainly from the continuity, differentiability, Li - 212） Read books, hangwanlilu -- Liu Yi In calculus, mainly from the continuity, differentiability, Riemann integrability to discuss three aspects of function (including the limit of function of function sequence) If the function of calculus have all discussed the function of good (for example, often assume that the function is continuous or only a finite discontinuity), then the real variable function theory is based on the continuity, differentiability and integrability of the three aspects to discuss the most general function, including function Calculus Learning see the nature of bad The conclusion it obtained naturally applicable to the function of good Real variable function theory is the development of calculus and depth Discuss the integrability of the real variable is the most important content in the function theory It includes the H.L. measure, Lebesgue measurable function and integral and a more general measure set, Lebesgue Steel Jess measure and integration theory (see Lebesgue integral) This integral than Riemann integral is more universal and more effective tools, such as the fundamental theorem of calculus and integral and limit order transform Harmonic analysis of fine (see Fourier analysis based on Lebesgue integral) is on In addition, also meet the special needs and discuss some special integral For example, to discuss the Newton Leibniz formula with integral PELON Because of a measure of additivity and established on the basis of the measurement points, leading to different function and sequence in calculus little convergence and uniform convergence of some important new concepts of convergence generation, they are almost everywhere convergence, convergence in measure (also known as convergence in measure), integral mean convergence Metric convergence in probability theory is the convergence in probability, and has a very important status An important con