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: Set Theoretic Real AnalysisSet Theoretic Real Analysis
by - Heldermann Verlag
This text surveys the recent results that concern real functions whose statements involve the use of set theory. The choice of the topics follows the author's personal interest in the subject. Most of the results are left without the proofs.
(16324 views)
Book cover: The Theory Of IntegrationThe Theory Of Integration
by - Cambridge University Press
On the one hand, practically no knowledge is assumed; on the other hand, the ideas of Cauchy, Riemann, Darboux, Weierstrass, familiar to the reader who is acquainted with the elementary theory, are used as much as possible ...
(6255 views)
Book cover: Theory of Functions of a Real VariableTheory of Functions of a Real Variable
by
The topology of metric spaces, Hilbert spaces and compact operators, the Fourier transform, measure theory, the Lebesgue integral, the Daniell integral, Wiener measure, Brownian motion and white noise, Haar measure, Banach algebras, etc.
(35725 views)
Book cover: Introduction to Infinitesimal Analysis: Functions of One Real VariableIntroduction to Infinitesimal Analysis: Functions of One Real Variable
by - John Wiley & Sons
This volume is designed as a reference book for a course dealing with the fundamental theorems of infinitesimal calculus in a rigorous manner. The book may also be used as a basis for a rather short theoretical course on real functions.
(14626 views)