RdL

Lecture Notes

  1. Numerical Analysis: a very compact compendium
    A compact compendium of Numerical Analysis I wrote to use in HU's MATH164 "Intro to Numerical Analysis" class. For most topics covered, I embed in the text some relative MATLAB/Octave code (e.g. algorithms implementations) that can be edited and run directly from within the page via SageMathCell. The book is authored in PreTeXt.
  2. A quick survey of Hamiltonian systems
    A series of lectures on Hamiltonian Dynamics given at the Geometry Seminar of Howard University in Fall 2014.
  3. A quick survey of h-Principle and isometric embeddings
    A series of lectures on Gromov's h-Principle from the point of view of isometric embeddings given a the Geometry Seminar of Howard University in Spring 2016.

Planned/In Preparation

  1. Complex Analysis
    There is a plethora of Complex Analysis texts at graduate level out there but none of them completely satisifes me. I am in the process of writing one of my own, to use in HU's MATH229 and MATH230, where I mostly collect the best parts from several textbooks and lecture notes, mostly from Complex Analysis In the Spirit of Lipman Bers and from the lecture notes by McMullen and Tao.
  2. Logistic Map
    There is yet no monograph about the Logistic Map. This means that anybody interested in studying this map has to do a treasure hunting in literature. When time allows, I would like to fill this gap.
  3. Quasiperiodic Topology
    I recently wrote a survey on quasiperiodic topology, covering most subjects but providing no proofs. These proofs are spread over literature, some available only in Russian. I plan to expand the survey into a monograph providing full proofs in a unified language/style.