Real Numbers: The Basics

Vicente Montesinos (), Peter Zizler () and Václav Zizler ()
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Vicente Montesinos: Universitat Politècnica de València, Departamento de Matemática Aplicada Instituto de Matemática Pura y Aplicada
Peter Zizler: Mount Royal University, Department of Mathematics, Physics and Engineering
Václav Zizler: University of Alberta, Department of Mathematical and Statistical Sciences

Chapter 1 in An Introduction to Modern Analysis, 2015, pp 1-56 from Springer

Abstract: Abstract In this chapter we introduce the system of real numbers and study the basic structural properties of this space. We will meet among others the following three principles: The concept of compactness, the principle of the supremum, and the Baire Category method.

Keywords: Real Numbers; Baire Category Method; Textbf; Positional Number System; Nested Interval Property (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/978-3-319-12481-0_1

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