**Advanced Calculus and Analysis**

by Ian Craw

**Publisher**: University of Aberdeen 2000**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

**Short introduction to Nonstandard Analysis**

by

**E. E. Rosinger**-

**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)

**Semi-classical analysis**

by

**Victor Guillemin, Shlomo Sternberg**-

**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)

**Lectures on Disintegration of Measures**

by

**L. Schwartz**-

**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)

**Theory of the Integral**

by

**Stanislaw Saks**-

**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)