Course notes

Course notes


Undergraduate

Analysis (greek, for the courses Analysis I and II, February 2016). Complete version with solutions of almost all exercises, hand-drawn figures and bibliography. The link provides both the whole book (which I suggest) and all of the fourteen separate chapters.

Infinitesimal Calculus (greek, for the course Infinitesimal Calculus I, January 2019).

Exercises for Infinitesimal Calculus I (176 solved exercises, greek, January 2019).

Real Analysis (many variables) (greek, September 2011).

Real Analysis (one variable) (greek, January 2014).

Harmonic Analysis (greek, October 2018).

Partial Differential Equations (greek, October 2018).

Number Theory (greek, June 2014).

Some solved exercises for the course Infinitesimal Calculus III (greek, January 2014).

Very sketchy notes on Euclidean Geometry (greek, January 2007).

Handwritten notes: Optimization Theory, Complex Analysis, Fourier Series, Inequalities, Linear Algebra II.

Graduate

Classical Potential Theory (english).

Functional Analysis (greek).

Measure Theory (english).

Handwritten notes: Spaces of Holomorphic Functions, Complex Analysis, Theory of Distributions and the Fourier Transform.


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