**Foundations of Analysis**

by Joseph L. Taylor

2011**Number of pages**: 415

**Description**:

The course has two main goals. The first is to develop in students the mathematical maturity and sophistication they will need when they move on to senior or graduate level mathematics courses. The second is to present a rigorous development of the calculus, beginning with a study of the properties of the real number system.

Download or read it online for free here:

**Download link**

(2.6MB, PDF)

## Similar books

**Mathematical Analysis I**

by

**Elias Zakon**-

**The Trillia Group**

Topics include metric spaces, convergent sequences, open and closed sets, function limits and continuity, sequences and series of functions, compact sets, power series, Taylor's theorem, differentiation and integration, total variation, and more.

(

**13620**views)

**Interactive Real Analysis**

by

**Bert G. Wachsmuth**-

**Seton Hall University**

Interactive Real Analysis is an online, interactive textbook for Real Analysis or Advanced Calculus in one real variable. It deals with sets, sequences, series, continuity, differentiability, integrability, topology, power series, and more.

(

**16030**views)

**Lectures on Lipschitz Analysis**

by

**Juha Heinonen**

In these lectures, we concentrate on the theory of Lipschitz functions in Euclidean spaces. From the table of contents: Introduction; Extension; Differentiability; Sobolev spaces; Whitney flat forms; Locally standard Lipschitz structures.

(

**8838**views)

**Differential Calculus**

by

**Pierre Schapira**-

**Université Paris VI**

The notes provide a short presentation of the main concepts of differential calculus. Our point of view is the abstract setting of a real normed space, and when necessary to specialize to the case of a finite dimensional space endowed with a basis.

(

**6912**views)