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Fundamentals of Mathematical Analysis - Oxford Scholarship Online
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Fundamentals of Mathematical Analysis

Adel N. Boules

Abstract

Fundamentals of Mathematical Analysis is a beginning graduate textbook on real and functional analysis, with a substantial component on topology. The three leading chapters furnish background information on the real and complex number fields, a concise introduction to set theory, and a rigorous treatment of vector spaces. Instructors can choose material from this part as their students’ background warrants. Chapter 4 is the spine of the book and is essential for an effective reading of the rest of the book. It is an extensive study of metric spaces, including the core topics of completeness, c ... More

Keywords: number field, set theory, vector space, metric space, topology, Banach space, Hilbert space, measure theory, Lebesgue measure, integration theory

Bibliographic Information

Print publication date: 2021 Print ISBN-13: 9780198868781
Published to Oxford Scholarship Online: May 2021 DOI:10.1093/oso/9780198868781.001.0001

Authors

Affiliations are at time of print publication.

Adel N. Boules, author
Professor of Mathematics, University of North Florida