**Notes on Measure and Integration**

by John Franks

**Publisher**: arXiv 2009**Number of pages**: 118

**Description**:

This text grew out of notes I have used in teaching a one quarter course on integration at the advanced undergraduate level. My intent is to introduce the Lebesgue integral in a quick, and hopefully painless, way and then go on to investigate the standard convergence theorems and a brief introduction to the Hilbert space of L2 functions on the interval.

Download or read it online for free here:

**Download link**

(690KB, PDF)

## 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.

(

**15201**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.

(

**16884**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.

(

**8810**views)

**Theory of Functions of a Real Variable**

by

**Shlomo Sternberg**

The topology of metric spaces, Hilbert spaces and compact operators, the Fourier transform, measure theory, the Lebesgue integral, the Daniell integral, Wiener measure, Brownian motion and white noise, Haar measure, Banach algebras, etc.

(

**34602**views)