Although students of analysis are familiar with real and complex
numbers, few treatments of analysis deal with the development of
such numbers in any depth. An understanding of number systems at a
fundamental level is necessary for a deeper grasp of analysis.
Beginning with elementary concepts from logic and set theory, this
book develops in turn the natural numbers, the integers and the
rational, real and complex numbers. The development is motivated by
the need to solve polynomial equations, and the book concludes by
proving that such equations have solutions in the complex number
system.
General
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