**How We Got From There to Here: A Story of Real Analysis**

by Robert Rogers, Eugene Boman

**Publisher**: Open SUNY Textbooks 2013**Number of pages**: 210

**Description**:

This book covers the major topics typically addressed in an introductory undergraduate course in real analysis in their historical order. Written with the student in mind, the book provides guidance for transforming an intuitive understanding into rigorous mathematical arguments.

Download or read it online for free here:

**Download link**

(3.4MB, PDF)

## Similar books

**Basic Real Analysis**

by

**Anthony W. Knapp**-

**BirkhĂ¤user**

A comprehensive treatment with a global view of the subject, emphasizing connections between real analysis and other branches of mathematics. Included throughout are many examples and hundreds of problems, with hints or complete solutions for most.

(

**2001**views)

**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.

(

**9868**views)

**Orders of Infinity**

by

**G. H. Hardy**-

**Cambridge University Press**

The ideas of Du Bois-Reymond's 'Infinitarcalcul' are of great and growing importance in all branches of the theory of functions. The author brings the Infinitarcalcul up to date, stating explicitly and proving carefully a number of general theorems.

(

**5584**views)

**Analysis Tools with Applications**

by

**Bruce K. Driver**-

**Springer**

These are lecture notes from Real analysis and PDE: Basic Topological, Metric and Banach Space Notions; Riemann Integral and ODE; Lebesbgue Integration; Hilbert Spaces and Spectral Theory of Compact Operators; Complex Variable Theory; etc.

(

**9260**views)