Lecture Notes
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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.
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A quick survey of Hamiltonian systems
A series of lectures on Hamiltonian Dynamics given at the Geometry Seminar of Howard University in Fall 2014.
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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
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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.
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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.
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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.