Robert B. Ash
Professor Emeritus, Mathematics

Dept. of Mathematics
University of Illinois
1409 W Green St.
Urbana, IL 61801

email r-ash [at] math [dot] uiuc [dot] edu

For undergraduate course notes, by Carol Ash, in Differential Equations, Advanced Calculus, Discrete Math and Linear Algebra click here

Remarks on Expository Writing in Mathematics
Click to read/download Remarks in pdf format

Books On Line

Abstract Algebra: The Basic Graduate Year

This is a student-oriented text covering the standard first year graduate course in algebra.
Solutions to all problems are included and some of the reasoning is informal.

A Course In Algebraic Number Theory

An introduction to the subject, covering both global and local fields. The prerequisite is a standard graduate course in algebra.

A Course In Commutative Algebra

Commutative algebra is the theoretical foundation of algebraic geometry and algebraic number theory. Assuming as prerequisite a standard graduate algebra course, we attempt to reach an advanced level quickly and efficiently.

Complex Variables

Co-authored by W.P. Novinger (retired), Florida State University.

This is a student-oriented text covering the standard first year graduate course in complex variables.
Solutions to all problems are included.

Lectures on Statistics

Revised (mostly typos) Aug. 2013

These lectures cover a first course in mathematical statistics. Basic probability is a prerequisite, but no prior knowledge of statistics is assumed.

A Pari/GP Tutorial

An introduction to the computer algebra system Pari/GP, designed for computations in number theory.

Real Variables with Basic Metric Space Topology

This is a reprint of a text first published by IEEE Press in 1993.

Basic Probability Theory

This is a reprint of a text first published by John Wiley and Sons in 1970.