This free ebook carefully leads the student through the basic topics of undergraduate real analysis. This text is appropriate for any undergraduate mathematics course in real analysis or mathematical analysis, or for a preparatory class for beginning mathematics graduate students who will later advance to courses in measure theory and functional analysis. Knowledge of this material will also be of benefit to graduate students in economics, signal and image processing, fluid and structural mechanics, etc.
Description
This text is an outgrowth of lectures given at the University of Windsor, Canada. One of our main objectives is updating the undergraduate analysis as a rigorous post-calculus course. While such excellent books as Dieudonn´e’s
Foundations of Modern Analysis are addressed mainly to graduate students, we try to simplify the modern Bourbaki approach to make it accessible to sufficiently advanced undergraduates.
Contents
Set Theory
Real Numbers. Fields
Vector Spaces. Metric Spaces
Function Limits and Continuity
Differentiation and Antidifferentiation
Book Details
Author(s): Elias Zakon
Format(s): PDF
File size: 2.44 MB
Number of pages: 367
Description
This text is an outgrowth of lectures given at the University of Windsor, Canada. One of our main objectives is updating the undergraduate analysis as a rigorous post-calculus course. While such excellent books as Dieudonn´e’s
Foundations of Modern Analysis are addressed mainly to graduate students, we try to simplify the modern Bourbaki approach to make it accessible to sufficiently advanced undergraduates.
Contents
Set Theory
Real Numbers. Fields
Vector Spaces. Metric Spaces
Function Limits and Continuity
Differentiation and Antidifferentiation
Book Details
Author(s): Elias Zakon
Format(s): PDF
File size: 2.44 MB
Number of pages: 367
