John M. Dusel
Department of Mathematics
University of California, Riverside
Surge Facility 281
jmd@math.ucr.edu


Spring 2010 office hours
   
Monday 2:00pm -- 5:00pm
    Wednesday 11:00am -- 12:00pm
    by appointment

Academic interests
   
Arithmetic combinatorics
    Discrete analysis (one argument for the superiority of these techniques)
    Number theory
    Harmonic analysis

Notes and talks
    Real analysis qualifying exam problems
    Discrete Fourier Transform (03/05/10) notes slides
    Topology qualifying exam problems

Math 113: Applied Linear Algebra
   
no handouts yet


If I were a Springer-Verlag Graduate Text in Mathematics, I would be J.L. Doob's Measure Theory.

I am different from other books on measure theory in that I accept probability theory as an essential part of measure theory. This means that many examples are taken from probability; that probabilistic concepts such as independence, Markov processes, and conditional expectations are integrated into me rather than being relegated to an appendix; that more attention is paid to the role of algebras than is customary; and that the metric defining the distance between sets as the measure of their symmetric difference is exploited more than is customary.

Which Springer GTM would you be? The Springer GTM Test



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Math 22 (Winter 2010)
    some solutions for HW6
    some solutions for HW12
    some solutions for HW16
    exponential derivatives handout
    logarithm derivatives handout
    finding the equation of an exponential curve
    midterm 2 solutions (white version)