Logo

Undergraduate Analysis Tools

Small book cover: Undergraduate Analysis Tools

Undergraduate Analysis Tools
by

Publisher: University of California, San Diego
Number of pages: 186

Description:
Contents: Natural, integer, and rational Numbers; Fields; Real Numbers; Complex Numbers; Set Operations, Functions, and Counting; Metric Spaces; Series and Sums in Banach Spaces; More Sums and Sequences; Topological Considerations; Differential Calculus in One Real Variable; Simple Integration Theory; Extending the Integral by Uniform Limits.

Home page url

Download or read it online for free here:
Download link
(9.2MB, PDF)

Similar books

Book cover: A Course of Pure MathematicsA Course of Pure Mathematics
by - Cambridge University Press
This classic book has inspired successive generations of budding mathematicians at the beginning of their undergraduate courses. Hardy explains the fundamental ideas of the differential and integral calculus, and the properties of infinite series.
(6152 views)
Book cover: Introduction to Real AnalysisIntroduction to Real Analysis
by - University of Louisville
From the table of contents: Basic Ideas (Sets, Functions and Relations, Cardinality); The Real Numbers; Sequences; Series; The Topology of R; Limits of Functions; Differentiation; Integration; Sequences of Functions; Fourier Series.
(3072 views)
Book cover: Fundamentals of AnalysisFundamentals of Analysis
by - Macquarie University
Set of notes suitable for an introduction to the basic ideas in analysis: the number system, sequences and limits, series, functions and continuity, differentiation, the Riemann integral, further treatment of limits, and uniform convergence.
(11943 views)
Book cover: Notes on Measure and IntegrationNotes on Measure and Integration
by - arXiv
My intent is to introduce the Lebesgue integral in a quick, and hopefully painless, way and then go on to investigate the standard convergence theorems and a brief introduction to the Hilbert space of L2 functions on the interval.
(3359 views)