Real analysis : foundations / Sergei Ovchinnikov.

This textbook explores the foundations of real analysis using the framework of general ordered fields, demonstrating the multifaceted nature of the area. Focusing on the logical structure of real analysis, the definitions and interrelations between core concepts are illustrated with the use of numer...

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Bibliographic Details
Main Author: Ovchinnikov, Sergeĭ (Author)
Format: eBook
Language:English
Published: Cham, Switzerland : Springer, [2021]
Series:Universitext,
Subjects:
Online Access:Click for online access
Table of Contents:
  • Rational Numbers
  • Real Numbers
  • Continuous Functions
  • Differentiation
  • Integration
  • Infinite Series
  • Natural Numbers and Integers
  • Dedekind's Construction of Real Numbers
  • A Panorama of Ordered Fields.