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Real Numbers: The Basics

In: An Introduction to Modern Analysis

Author

Listed:
  • 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)

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.

Suggested Citation

  • Vicente Montesinos & Peter Zizler & Václav Zizler, 2015. "Real Numbers: The Basics," Springer Books, in: An Introduction to Modern Analysis, edition 127, chapter 1, pages 1-56, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-12481-0_1
    DOI: 10.1007/978-3-319-12481-0_1
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