Real Analysis

Surinder Pal Singh Kainth ()
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Surinder Pal Singh Kainth: Panjab University, Department of Mathematics

Chapter Chapter 1 in A Comprehensive Textbook on Metric Spaces, 2023, pp 1-38 from Springer

Abstract: Abstract This chapter is a review of the basics of real numbers and real functions. It presents a detailed discussion on the completeness property, continuity, decimal expansions, sequences, and series of real numbers, along with the uniform convergence of sequences and series of real functions. However, it is not aimed at providing every little detail of the basic real analysis. We present only those notions which are to be used or extended in the subsequent chapters on general metric space.

Date: 2023
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DOI: 10.1007/978-981-99-2738-8_1

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