Logo

Advanced Calculus and Analysis

Small book cover: Advanced Calculus and Analysis

Advanced Calculus and Analysis
by

Publisher: University of Aberdeen
Number of pages: 110

Description:
An introductory Calculus course, with some leanings to analysis, at one time given in second year. It covers sequences, monotone convergence, limits and continuity, differentiability, infinite series, power series, differentiation of functions of several variables, and multiple integrals.

Download or read it online for free here:
Download link
(820KB, PDF)

Similar books

Book cover: Short introduction to Nonstandard AnalysisShort introduction to Nonstandard Analysis
by - arXiv
These notes offer a short and rigorous introduction to Nostandard Analysis, mainly aimed to reach to a presentation of the basics of Loeb integration, and in particular, Loeb measures. The Abraham Robinson version of Nostandard Analysis is pursued.
(8986 views)
Book cover: Semi-classical analysisSemi-classical analysis
by - Harvard University
In semi-classical analysis many of the basic results involve asymptotic expansions in which the terms can by computed by symbolic techniques and the focus of these lecture notes will be the 'symbol calculus' that this creates.
(9561 views)
Book cover: Lectures on Disintegration of MeasuresLectures on Disintegration of Measures
by - Tata Institute of Fundamental Research
These Notes cover I) disintegration of a measure with respect to a single sigma-algebra, and in part II, measure valued supermartingales and regular disintegration of a measure with respect to an increasing right continuous family of sigma-algebras.
(6925 views)
Book cover: Theory of the IntegralTheory of the Integral
by - Polish Mathematical Society
Covering all the standard topics, the author begins with a discussion of the integral in an abstract space, additive classes of sets, measurable functions, and integration of sequences of functions. Succeeding chapters cover Caratheodory measure.
(11541 views)