Titlebook: Real Analysis; Series, Functions of Miklós Laczkovich,Vera T. Sós Textbook 2017 Springer Science+Business Media LLC 2017 Continuity of func

石墨

https://doi.org/10.1007/978-1-4939-7369-9Continuity of functions; History of Fourier series; History of infinite series; Limit of functions; Real

蚊子

Functions from , to ,,Consider a function ., where . is an arbitrary set, and let the coordinates of the vector .(.) be denoted by . for every .. In this way we define the functions ., where . for every .. We call . the .th . or . of ..

FADE

The Jordan Measure,One of the main goals of mathematical analysis, besides applications in physics, is to compute the measure of sets (arc length, area, surface area, and volume).

ascetic

,Integrals of Multivariable Functions I,The concept of the integral of a multivariable function arose as an attempt to solve some problems in mathematics, physics, and in science in general, similarly to the case of the integral of a single-variable function. We give an example from physics.

Consequence

,Integrals of Multivariable Functions II,The notion of the line integral was motivated by some problems in physics. One of these problems is the computation of the work done by a force that changes while moving a point. The mathematical model describing the situation is the following.

lacrimal-gland

nonradioactive

绝食

表示向下

Miklós Laczkovich,Vera T. SósCorresponds to a second course in real analysis to follow the authors‘ book Real Analysis: Foundations and Functions of One Variable.Motivates ideas and results in analysis by exploring concepts and a

Hamper