**Interactive Real Analysis**

by Bert G. Wachsmuth

**Publisher**: Seton Hall University 2007

**Description**:

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 (Riemann and Lebesgue), topology, power series, and more. The text was designed for use by upper level undergraduate math majors.

Download or read it online for free here:

**Read online**

(online html)

## Similar books

**Homeomorphisms in Analysis**

by

**Casper Goffman, at al.**-

**American Mathematical Society**

This book features the interplay of two main branches of mathematics: topology and real analysis. The text covers Lebesgue measurability, Baire classes of functions, differentiability, the Blumberg theorem, various theorems on Fourier series, etc.

(

**10678**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.

(

**20061**views)

**The Foundations of Analysis**

by

**Larry Clifton**-

**arXiv**

This is a detailed introduction to the real number system from a categorical perspective. We begin with the categorical definition of the natural numbers, review the Eudoxus theory of ratios, and then define the positive real numbers categorically.

(

**4354**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.

(

**8843**views)