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David Marius Bressoud
Director, Conference Board of the Mathematical Sciences
- DeWitt Wallace Professor of Mathematics, Macalester College
Former President, Mathematical
Association of America
``If it be then your Pleasure, ye Lovers of
``Where is the Life ...
A monthly column of reflections on issues of undergraduate mathematics
education. Click HERE for a .docx file of links to all past columns.
of Successful Programs in College Calculus (NSF #0910240) A five-year
NSF-sponsored study of mainstream Calculus I.
Progress through Calculus (NSF #1430540) A successor to Characteristics of Successful Programs in College Calculus, examining what works in the Precalculus through Calculus II sequence and what universities can do to improve student success.
The Role of Calculus in the Transition from High School to College Mathematics
(NSF #1550484). The results of a workshop held in 2016 to clarify what
we know and what we need to know about the role of calculus in the
transition from high school to college mathematics. Click here for a pdf of the final report with color graphics.
My research interests lie in number theory and combinatorics, and especially
partition theory (how many ways can you express an integer as the sum
of positive integers?) with occasional forays into analysis (special functions,
modular forms) and algebra (especially the theory of representations of
the symmetric group). I am particularly interested in the mathematics
Ramanujan. My doctoral thesis proved and extended a number of his
identities. I enjoy the history of mathematics and have drawn on it in
- Factorization and Primality
Testing An introduction to number theory by way of techniques
for factoring large integers or proving they are prime.
- Second Year Calculus from celestial
mechanics to special relativity Vector calculus in the
language of differential forms with emphasis on the physical problems
which gave rise to this subject.
- A Radical Approach to Real Analysis,
2nd edition Introductory real analysis motivated by the
problems of handling Fourier series.
here to access the Web Resources
for the second edition of A Radical Approach to Real Analysis
- Proofs and Confirmations:
The Story of the Alternating Sign Matrix Conjecture, winner
of the MAA Beckenbach Prize. Recent
developments in combinatorics interwoven with some of my favorite topics.
- A Course in Computational
Number Theory Written with Stan Wagon, a computer-intensive
introduction to Number Theory.
- A Radical Approach to
Lebesgue's Theory of Integration This is a sequel
to A Radical Approach to Real Analysis, continuing the story
of the development of analysis through measure theory and Lebesgue integration.
- Calculus: Graphical, Numerical, Algebraic (5th edition). Jointly authored with Finney, Demana, Waits, and Kennedy. A high school calculus text aligned with the AP Calculus courses.
- Insights and Recommendations from the MAA National Study of College Calculus.
Jointly edited with Vilma Mesa and Chris Rasmussen. A collection of
articles written by the researchers involved in the five-year NSF
Project Characteristics of Successful Programs in College Calculus summarizing the findings.
- Calculus Reordered: A History of the Big Ideas.
How our understanding of calculus has evolved over more than three
centuries, how this has shaped the way it is taught in the classroom,
and why calculus pedagogy needs to change. Princeton University Press.
Coming in 2019.
I also have a series of lectures that provide
an introduction to the history of mathematics, starting with ancient Babylonian
and Egyptian mathematics and continuing through the solution of the Poincaré
Conjecture: Queen of the Sciences: A History of Mathematics.
These are 24 half-hour lectures available from Great
photo taken at the Uppenbarelsekyrkan in Saltsjöbaden, Sweden, 2015
- last updated: September 7, 2018