Abstract
This chapter introduces some elementary facts from set theory, topology of the real numbers, and the theory of real functions. The concepts of real analysis rest on the system of real numbers and on notions such as sets, relations, and functions. A set is a well-defined collection of objects. The objects in the collection are called the elements of the set. For example, A is equal to {x, y, z} is a set with three elements x, y, and z. The notation x Є A denotes that x belongs to A or, equivalently, x is in A. The set of natural numbers is denoted by N, the set of integers by Z, the set of rational numbers by Q, and the set of complex numbers by C. For two sets A and B, A is called a subset of B, denoted by A Ì B, if every element of A is also an element of B. The intersection of two sets A and B is the set of all elements that are in both A and B, denoted by AÇB.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Real Analysis with an Introduction to Wavelets and Applications
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
