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: 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.
(10180 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.
(8568 views)
Book cover: Lectures on Topics in AnalysisLectures on Topics in Analysis
by - Tata Institute of Fundamental Research
Topics covered: Differentiable functions in Rn; Manifolds; Vector bundles; Linear differential operators; Cauchy Kovalevski Theorem; Fourier transforms, Plancherel's theorem; Sobolev spaces Hm,p; Elliptic differential operators; etc.
(7150 views)
Book cover: Lecture Notes on the Theory of DistributionsLecture Notes on the Theory of Distributions
by - Universitaet Wien
From the table of contents: 1. Test Functions and Distributions; 2. Differentiation, Differential Operators; 3. Basic Constructions; 4. Convolution; 5. Fourier Transform and Temperate Distributions; 6. Regularity; 7. Fundamental Solutions.
(5244 views)