## William H. Barker

Isaac Henry Wing Professor of Mathematics

### Contact Information

barker@bowdoin.edu

207-725-3571

Mathematics

Searles Science Building - 105

### Teaching this semester

### MATH 1800. Multivariate Calculus, A

Multivariate calculus in two and three dimensions. Vectors and curves in two and three dimensions; partial and directional derivatives; the gradient; the chain rule in higher dimensions; double and triple integration; polar, cylindrical, and spherical coordinates; line integration; conservative vector fields; and Green’s theorem. An average of four to five hours of class meetings and computer laboratory sessions per week.

### MATH 2404. Geometry

A survey of modern approaches to Euclidean geometry in two dimensions. Axiomatic foundations of metric geometry. Transformational geometry: isometries and similarities. Klein’s Erlanger Programm. Symmetric figures. Other topics may be chosen from three-dimensional geometry, ornamental groups, area, volume, fractional dimension, and fractals.

### Education

- A.B. Binghamton University
- Ph.D. Massachusetts Institute of Technology

### Research Interests

- Geometry, Lie Theory, Analysis

### Books, Reports, and Monographs

*Continuous Symmetry: From Euclid to Klein*

William Barker and Roger Howe

Supplemental Materials (Errata, Revisions, Course Resources)

Review of *Continuous Symmetry* from MAA Reviews.

*Curriculum Foundations Project: Voices of the Partner Disciplines*

The individual reports are available for downloading

*Harmonic Analysis on Reductive Groups*

Edited by William Barker and Paul Sally

*L ^{p} Harmonic Analysis on SL(2,R)*

Further information on this Memoir.