Real analysis is an important area of mathematics that deals with sets and sequences of real numbers, as well as the functions of one or more real variables. It is one of the main branches of mathematical analysis. Real analysis can be treated as a subset of complex analysis, since many results of the former are special cases of results in the latter.
In real analysis, one studies the real numbers and real-valued functions of real variable, analytic properties of real functions and sequences, as well as convergence and limits of sequences of real numbers, calculus of the real numbers, continuity, and smoothness. It relates the properties of real-valued functions.
Real analysis is concerned with the behavior and properties of functions, sequences, and sets on the real number line, which is denoted mathematically by the letter R. The following concepts can be examined through real analysis: limits, continuity, derivatives, changing rates, and integration - the quantity of change which occurs over time.
On a conceptual or practical level, many of these ideas are covered at lower levels of mathematics, including calculus, therefore the subject of real analysis may seem rather senseless and trivial. Real analysis, however, deals with the depth, complexity, and beauty that is beneath the surface of everyday mathematics. There is an assurance of correctness which we call rigor that permeates the whole of mathematics. Thus, real analysis can, to some degree, be seen as the development of a rigorous, well-proven framework to support the ideas which are based on feelings rather than facts.
The major concepts in real analysis include the following:
Real analysis is a very straightforward subject, as it is simply a nearly linear development of mathematical portion. Instead of relying on sometimes uncertain intuition (which we have all felt when we were solving a problem we did not understand), we will anchor it to a rigorous set of mathematical theorems.
Real analysis is one of the most important branches of mathematics. If we want to understand differential equations or functional analysis or topology or complex analysis, we need to study the basic concept of real analysis.
Since we have tutors in all Real Analysis related topics, we can provide a range of different services. Our online Real Analysis tutors will:
With these capabilities, our college Real Analysis tutors will give you the tools you need to gain a comprehensive knowledge of Real Analysis you can use in future courses.
Our tutors are just as dedicated to your success in class as you are, so they are available around the clock to assist you with questions, homework, exam preparation and any Real Analysis related assignments you need extra help completing.
In addition to gaining access to highly qualified tutors, you'll also strengthen your confidence level in the classroom when you work with us. This newfound confidence will allow you to apply your Real Analysis knowledge in future courses and keep your education progressing smoothly.
Because our college Real Analysis tutors are fully remote, seeking their help is easy. Rather than spend valuable time trying to find a local Real Analysis tutor you can trust, just call on our tutors whenever you need them without any conflicting schedules getting in the way.