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: Real Analysis for Graduate Students: Measure and Integration TheoryReal Analysis for Graduate Students: Measure and Integration Theory
by - CreateSpace
Nearly every Ph.D. student in mathematics needs to take a preliminary or qualifying examination in real analysis. This book provides the necessary tools to pass such an examination. The author presents the material in as clear a fashion as possible.
(8135 views)
Book cover: The General Theory of Dirichlet's SeriesThe General Theory of Dirichlet's Series
by - Cambridge University Press
This classic work explains the theory and formulas behind Dirichlet's series and offers the first systematic account of Riesz's theory of the summation of series by typical means. Its authors rank among the most distinguished mathematicians ...
(1277 views)
Book cover: Real AnalysisReal Analysis
by - Wikibooks
This introductory book is concerned in particular with analysis in the context of the real numbers. It will first develop the basic concepts needed for the idea of functions, then move on to the more analysis-based topics.
(7306 views)
Book cover: The Foundations of AnalysisThe Foundations of Analysis
by - arXiv
This is a detailed introduction to the real number system from a categorical perspective. We begin with the categorical definition of the natural numbers, review the Eudoxus theory of ratios, and then define the positive real numbers categorically.
(3759 views)