ENGLISH

The Number Systems of Analysis

By C H C Little,K L Teo,B van Brunt

Book information

Publisher
World Scientific Pub
Year
2003
ISBN
9789812386069
Language
english
Format
PDF
Filesize
26 MB (27574274 bytes)
Pages
226\226
Topic
Mathematics\\Analysis
Time added
2020-02-05 17:25:18
Mathematical AnalysisNumber Systems

Description

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. Elements of Logic Sets Natural Numbers Integers Rational Numbers Sequences on Q The Real Number System Complex Numbers The Fundamental Theorem of Algebra

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