305 Seeley Mudd Building

PO Box: AC# 2239

413-542-2196

@amherst.edu

## Daniel J. Velleman

#### Julian H. Gibbs '46 Professor of Mathematics

Departmental affiliation: Mathematics and Statistics

#### Interests

Logic, set theory, philosophy of mathematicsAmherst College### Courses

#### Courses in Fall 2007

#### Courses in Spring 2008

#### Courses in Fall 2008

#### Courses in Spring 2009

#### Courses in Fall 2009

#### Courses in Spring 2010

#### Courses in Fall 2010

#### Courses in Spring 2011

#### Courses in Fall 2012

#### Courses in Spring 2013

#### Courses in Fall 2013

#### Courses in Fall 2014

#### Courses in Spring 2015

#### Courses in Fall 2015

## Professional and Biographical Information

### Degrees

Ph.D., University of Wisconsin-Madison (1980)

M.A., University of Wisconsin-Madison (1977)

B.A., Dartmouth College (1976)

A.M. (honorary), Amherst College (1992)

### Research Interests

Much of my research has been in the field of mathematical logic, particularly set theory. However, I have published papers in a wide range of fields, including combinatorics, probability, topology, analysis, philosophy of mathematics, and foundations of quantum mechanics.

### Teaching Interests

Many high school students view mathematics as a collection of formulas to be used to calculate numerical answers. To succeed in college-level mathematics, they must learn to think of mathematics as involving reasoning, rather than merely calculation. In advanced undergraduate courses, they must learn to express their reasoning in the form of mathematical proofs. In my teaching, I try to help students make this transition from calculation to reasoning to proofs. I put particular emphasis on making sure students understand the meaning of mathematical language and the importance of using that language precisely.

### Awards and Honors

Paul R. Halmos - Lester R. Ford Award (for the paper "A drug-induced random walk"), 2015

Carl B. Allendoerfer Award (for the paper "Permutations and combination locks"), 1996

Lester R. Ford Award (for the paper "Versatile coins"), 1994

Honorable mention (38th place), Putnam Exam, 1975