David Feldman, Associate Professor of Mathematics

University of New Hampshire

Department of Mathematics

My ground mail address:
Professor David Feldman
Department of Mathematics
Kingsbury Hall
University of New Hampshire
Durham NH 03824
My office phone:
(603) 862-2692
My e-mail address:
David.Feldman@unh.edu .

Lecture notes and course materials

Introduction to Topology The Idea of Topology (Mathematics 784/884)
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For lecture notes and other materials connected with my course,
Pathways between Mathematics and the Arts (Mathematics 420)
look here.
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Materials for Mathematics 531: Introduction to Mathematical Proof
Please inform me of typographically errors you find in these notes!
Note: the numbering of written lectures may not correspond to that of classroom lectures.
Lecture 1: The irrationality of root 2
Lecture 2: The very existence of root 2
Lecture 3: Decimals, fractions and cuts
Lecture 4: The definition of cut multiplication: basics and subtleties
Lecture 5: From cuts to limits
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Syllabus for Mathematics 532.
Discrete Mathematics Reading Assignment #0
An example of the sort of thing that concerns us in this course .
Discrete Mathematics Reading Assignment #1
Annotating a one-sentence proof .
Quaternionic approach to Lagrange's theorem on sums of four squares
Finite Projective Planes and the Bruck-Ryser Theorem
Ramsey's Theorem
Hales-Jewitt Theorem
Shelah's Proof of van der Waerden's Theorem
Tutte's Theorem
Stable Marriage Theorem
Robinson-Schensted correspondence
Integer Partitions
Hook Formula
Catalan numbers
Article on an even number of odd nodes

Preprints of my mathematical papers

...under construction...

My activities as a composer

Before college I studied composition with Leo Kraft. At Yale I continued my studies with Robert Morris, Krzysztof Penderecki, Jonanthan Kramer and others. In recent years my works have had performances in such places as NYC, Paris, Amsterdam, Berlin, Kiel, Australia. Mathematics often informs my compositional work, but the manner and degree varies from composition to composition.

Here find PostScript files containing scores for many of my pieces, and also MIDI files so you can hear them immediately.
(In many cases, I provide the midi files as auxiliary "aural scores" that make the complicated rhythms or intonations described in the printed score fully precise. While the "aural scores" can give the listener an impression of the shape of the piece, please don't regard them as performances or full realizations. In any case, needless to say, I find the results more pleasing when I hear them on a synthesizer such as a K2000 versus a sound card.
Here find more MIDI files for pieces for which I have no score file to distribute. Warning: my juvenalia may not be of general interest. I welcome inquiries from performers!

Persistant dispersion chains

Composer Clarence Barlowe (born 1945, in Calcutta) coined the term *persistant dispersion chain* for a (finite or infinite) sequence of real numbers a_1, a_2, ..., a_n with the property that for each i less than or equal to n, the set {a_1, ... , a_i} contains one element lying in each open interval of the form ((a-1)/i, a/i), as a runs from 1 to i. Many year before Barlowe rediscovered the concept, mathematicians had proved a bound on the maximum length of such chains.

Go here to for more information concerning persistant dispersion chains, including my exhaustive catalog.

Photograph album

Family photos, local cultural events, my daughter Chloe"'s drawings and paintings...
(Under construction) Run a PostScript program over the net by clicking here.

Various links

The links I've collected on my hotlist through years of surfing reflect some of my (not necessarily current) interests.