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Real Analysis: Foundations
ISBN-13:
9783030647018
Veröffentl:
2021
Seiten:
178
Autor:
Sergei Ovchinnikov
Serie:
Universitext
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
Beschreibung:
Comprising six chapters, the book opens with a rigorous presentation of the theories of rational and real numbers in the framework of ordered fields. This is followed by an accessible exploration of standard topics of elementary real analysis, including continuous functions, differentiation, integration, and infinite series. Readers will find this text conveniently self-contained, with three appendices included after the main text, covering an overview of natural numbers and integers, Dedekind's construction of real numbers, historical notes, and selected topics in algebra.
1 Rational Numbers.- 2 Real Numbers.- 3 Continuous Functions.- 4 Differentiation.- 5 Integration.- 6 Infinite Series.- A Natural Numbers and Integers.- B Dedekind's Construction of Real Numbers. C A Panorama of Ordered Fields.
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