**Introduction to Analysis**

by Irena Swanson

**Publisher**: Purdue University 2020**Number of pages**: 353

**Description**:

In this course, students learn to write proofs while at the same time learning about binary operations, orders, fields, ordered fields, complete fields, complex numbers, sequences, and series. We also review limits, continuity, differentiation, and integration.

Download or read it online for free here:

**Download link**

(1.8MB, PDF)

## Similar books

**Problems in Mathematical Analysis**

by

**B. P. Demidovich**-

**MIR Publishers**

This collection of problems and exercises in mathematical analysis covers the maximum requirements of general courses in higher mathematics for higher technical schools. It contains over 3,000 problems covering all branches of higher mathematics.

(

**27435**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.

(

**13352**views)

**Advanced Calculus and Analysis**

by

**Ian Craw**-

**University of Aberdeen**

Introductory calculus course, with some leanings to analysis. It covers sequences, monotone convergence, limits, continuity, differentiability, infinite series, power series, differentiation of functions of several variables, and multiple integrals.

(

**30152**views)

**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.

(

**13284**views)