Complex Numbers and Metric Topology of $$\mathbb {C}$$

Hemant Kumar Pathak ()
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Hemant Kumar Pathak: Pt. Ravishankar Shukla University, School of Studies in Mathematics

Chapter Chapter 1 in Complex Analysis and Applications, 2019, pp 1-65 from Springer

Abstract: Abstract In this introductory chapter, we give a brief introduction of the complex number system, geometrical representation of complex numbers, the notion of point at infinity, Riemann sphere, and metric topology of $$\mathbb {C}$$ . All these notions are meant to convey the need for and the intrinsic beauty found in passing from a real variable x to a complex variable z.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-13-9734-9_1

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DOI: 10.1007/978-981-13-9734-9_1

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