**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

**A Primer of Real Analysis**

by

**Dan Sloughter**-

**Synechism.org**

This is a short introduction to the fundamentals of real analysis. Although the prerequisites are few, the author is assuming that the reader has the level of mathematical maturity of one who has completed the standard sequence of calculus courses.

(

**1747**views)

**Real Analysis for Graduate Students: Measure and Integration Theory**

by

**Richard F. Bass**-

**CreateSpace**

Nearly every Ph.D. student in mathematics needs to take a preliminary or qualifying examination in real analysis. This book provides the necessary tools to pass such an examination. The author presents the material in as clear a fashion as possible.

(

**8490**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.

(

**6602**views)

**A Course Of Mathematical Analysis**

by

**Shanti Narayan**-

**S.Chand And Company**

Contents: Dedekind's theory of Real Numbers; Bounds and Limiting Points; Sequences; Real Valued Functions of a Real Variable; The derivative; Riemann Theory of Integration; Uniform Convergence; Improper Integrals; Fourier Series; and more.

(

**18840**views)